Organizers

• Il Bong Jung (Kyungpook National University, Daegu, Korea)

• Piotr Budzyński (University of Agriculture, Krakow, Poland)

• Zenon Jabłoński (Jagiellonian University, Kraków, Poland)

A relationship between Hilbert space operator theory and moment problem theory is well known. The interplay between these two gave impetus for investigations that cover a variety of topics. These include the subnormality and complete hyperexpansivity of bounded and unbounded operators, weighted shifts of various types, composition operators, positive and conditional positive definiteness of sequences etc. The session focuses on these topics and more.

 

Confirmed Talks

• Chafiq Benhida (University of Lille, France)
• Tirthankar Bhattacharyya (Indian Institute of Science, India)
• Dariusz Cichoń (Jagiellonian University, Poland)
• Hamza El Azhar (Chouaib Doukkali University, Morocco)
• Sergiusz Kużel (AGH University of Science and Technology, Poland)
• Martin Mathieu (Queen's University Belfast, United Kingdom (Northern Ireland))
• Lajos Molnar (University of Szeged, Hungary)
• Rajkamal Nailwal (IIT Kanpur, India)
• Piotr Niemiec (Jagiellonian University, Poland)
• Paweł Pietrzycki (Jagiellonian University, Poland)
• Piotr Pikul (Jagiellonian University, Poland)
• Artur Płaneta (University of Agriculture, Poland)
• Marek Ptak (University of Agriculture, Poland)
• Jaydeb Sarkar (Indian Statistical Institute, India)
• Mitra Shamsabadi (Austrian Academy of Sciences Acoustics Research Institute, Austria)
• Vinayak Madhav Sholapurkar (S. P. College,  Savitribai Phule Pune University, India)
• Franciszek Hugon Szafraniec (Jagiellonian University, Poland)
• Yuri Tomilov (IM PAN, Poland )
• Shailesh Trivedi (Indian Institute of Technology Kanpur, India)
• Michał Wojtylak (Jagiellonian University, Poland)
       

Organizers

• Roland Duduchava (University of Georgia, Tbilisi, Georgia)

• Mikhael Ruzhansky (University of Ghent, Belgium)

Session will host contributions in analysis on groups: function theory on groups, differential and pseudodifferential equations on groups, including convolution equations.

 

 Confirmed Talks

• Roland Duduchava (Institute of Mathematics, The University of Georgia, Georgia)
• Simon Halvdansson (NTNU Norwegian University of Science and Technology, Norway)
• Alessia Kogoj (Università di Urbino Carlo Bo, Italy)
• George Tephnadze (The University of Georgia, Georgia)
• Giorgi Tutberidze (The University of Georgia, Georgia)
       

Organizers

• Nikolai Vasilevski (CINVESTAV, Mexico City, Mexico)

• Jani Virtanen (University of Reading, Great Britain)

• Kehe Zhu (State University of New York at Albany, NY, USA)

The interaction between analytic function spaces and operator theory is a fruitful area of modern analysis. Many problems in abstract operator theory become more approachable once the operators are unitarily transformed to analytic function spaces. A classical example is Beurling’s theorem on invariant subspaces of the unilateral shift operator. The focus of this special session is on analytic function spaces and operators acting on them. Spaces that are frequently used in operator theory include the Hardy space, the Bergman space, the Dirichlet space, and the Fock space. Operators on analytic function spaces that are extensively studied in recent years include Toeplitz operators, Hankel operators, and composition operators.

 

Confirmed Talks

• Oscar Bandtlow (Queen Mary University of London, United Kingdom)
• Boo Rim Choe (Korea University, Korea, Republic of)
• Rajeev Gupta (Indian Institute of Technology, Goa, India)
• Raffael Hagger (Christian-Albrechts-Universität zu Kiel, Germany)
• Yuri Karlovich (Universidad Autónoma del Estado de Morelos, Mexico)
• Oleksiy Karlovych (NOVA University Lisbon, Portugal)
• Hyungwoon Koo (Korea University, Korea, Republic of)
• Athanasios Kouroupis (Norwegian University of Science and Technology (NTNU), Norway)
• Karsten Kruse (Hamburg University of Technology, Germany)
• Karol Leśnik (Adam Mickiewicz University in Poznań, Poland)
• Małgorzata Michalska (Maria Curie-Skłodowska University, Poland)
• Santeri Miihkinen (Umea University, Sweden)
• Jan-Fredrik Olsen (Lund University, Sweden)
• Soohyun Park (Department of Mathematics, Pusan National University , Korea, Republic of )
• Antti Perälä (Umeå University, Sweden)
• Raul Quiroga-Barranco (Cimat, Mexico)
• Chaman Sahu (Indian Institute of Technology Kanpur, India)
• Armando Sánchez-Nungaray (Universidad Veracruzana, Mexico)
• Shanola Smitha Sequeira (Indian Institute of Technology Hyderabad, India)
• Nikolai Vasilevski (Center for Research and Advanced Studies, Mexico)
• Kehe Zhu (SUNY at Albany, United States of America)
       

Organizers       

           
• Kallol Paul (Jadavpur University, India)          

• Jacek Chmieliński (Pedagogical University of Krakow, Poland)         

• Debmalya Sain (Indian Institute of Science, India)

Banach space theory, and more generally, Functional Analysis and Operator Theory, remains an important topic in Mathematics, not the least because of its deep connections with many other branches of Mathematics and the numerous practical applications in modern day society. In recent times, various analytic methods, including but not limited to Birkhoff-James orthogonality, have been used to understand the geometry of Banach spaces. On the other hand, geometric observations in Minkowski planes have motivated several analytic notions, such as those of (left and right) symmetric points in Banach spaces and their connections with extreme contractions and isometries. This interplay between analytic and geometric ideas in the framework of Banach spaces is the main theme of our proposed session. Apart from being interesting in its own right, this particular area of research is also important from the perspectives of approximation theory and optiomization theory. The proposed session is planned to consist of the talks of some of the experts working in the broad area of geometry of Banach spaces. It is reasonable to expect that the talks to be presented at the proposed session will cover a broad spectrum of topics of current interest, thus playing a positive role in the dissemination of knowledge, exchange of ideas, and the beginning of possible future collaborations.

 

Confirmed Talks

• Sudeshna Basu (GWU, United States of America)
• Evgeniya Burtseva (Luleå University of Technology, Sweden)
• Jacek Chmieliński (Pedagogical University of Krakow, Poland)
• Jayanarayanan C R (Indian Institute of Technology Palakkad, India )
• Quan Dau (Pedagogical University of Krakow, Poland)
• Jochen Glück (University of Wuppertal, Germany)
• Ramesh Golla (Indian Institute of Technology Hyderabad, India)
• Tomasz Kiwerski (Poznan University of Technology, Poland)
• Paweł Kolwicz (Poznan University of Technology,  Institute of Mathematics, Poland)
• Michał Kozdęba (University of Agriculture, Poland)
• Arpita Mal (Indian Institute of Science, India)
• Lajos Molnar (University of Szeged, Hungary)
• Sarathkumar N S (Cochin University of Science and Technology, India)
• Tanmoy Paul (Assistant Professor, India)
• Kallol Paul (Jadavpur University, India)
• Panayiotis Psarrakos (Department of Mathematics,  National Technical University of Athens, Greece)
• Debmalya Sain (Universidad de Granada, Spain)
• Sreejith Siju (Indian Insitute of Technology Palakkad, India)
• Jakub Tomaszewski (Poznan University of Technology, Poland)
• Paweł Wójcik (Pedagogical University of Cracow, Poland)
• Nikos Yannakakis (National Technical University of Athens, Greece)
       

Organizers

• Michael Hartz (University od Sarland, Saarbrücken, Germany)

• Felix Schwenninger (TU Twente, Netherlands)

The topic of this session are functional calculi, especially analytic functional calculi for Hilbert and Banach space operators in one and several variables. A particular focus lies on spectral constants and spectral sets. In recent years, there has been a surge of activity in this area. In the context of Crouzeix’s conjecture, this session aims to address recent developments in determining the optimal spectral constant for the numerical range. Moreover, we intend to cover applications of functional calculi to operator semi-groups, as well as functional calculi for operator tuples.

 

Confirmed Talks

• Catalin Badea (Univ Lille, France)
• Nikolaos Chalmoukis (Saarland University, Germany)
• Raphael Clouatre (University of Manitoba, Canada)
• Alberto Dayan (University of Saarlandes, Germany)
• Oliver Fuerst (Leibniz University Hannover, Germany)
• Bernhard Haak (University of Bordeaux, France)
• Constanze Liaw (University of Delaware and National Science Foundation, United States of America)
• Hong Hai Ly (Department of Mathematics, Faculty of Science, University of Ostrava, Czechia)
• Maëva Ostermann (Université Laval, Canada)
• William Ross (University of Richmond, United States of America)
• Eskil Rydhe (Lund University, Sweden)
• Felix Schwenninger (University of Twente, Netherlands)
• Orr Shalit (Technion - Israel Institute of Technology, Israel)
• Rachid Zarouf (Aix-Marseille University, France)
       

Organizer

• Andrzej Horzela (Institute of Nuclear Physics Polish Academy of Sciences, Kraków, Poland)
• Fabio Bagarello (DEIM, University of Palermo, Italy)
• Stephen Bruce Sontz (CIMAT Guanajuato, Mexico)
• Franciszek H.Szafraniec (Jagiellonian University in Kraków, Poland)

Here are some sample topics of the session to be considered, it does not mean you  are restrained from going beyond the scope as long as it is relevant.

Both topics  “Hilbert space methods” and “quantum physics”  pretty much coexist enriching each the other.  “Hilbert space methods”  may upgrade the following two aspects:
(a) L² spaces technique with measure theoretic nuances, this may include some spectral problems (even indefinite) if they lead to quantum physics;  
(b) reproducing kernel Hilbert space approach as it is the proper vehicle for spaces of holomorphic functions and those alike (for instance Segal-Bargmann as well as their generalisations).  Among them in this approach we have to mention Fox's construction of symmetric space and those alike, which already enjoy quite a number of extensions.

The case (a) prompts more general concepts like rigged Hilbert spaces or what is paving the way to the case (b) Laurent Schwartz kernel theorem or even more appropriate a forgotten "Pedrick's tilde correspondence"  linking the scalar case and RKHS of functions being operators defined by duality in the functional analytic sense.

Needless to say bounded and unbounded operators (or even linear relations) in any of these cases play the vital role with dilations, extensions including those positive operator valued measure are on the top. The Hilbert space environment as mentioned in (a) and (b) and the operators acting therein are instrumental; seemingly the case (b) is a common body for spaces of holomorphic functions which create a solid part of "quantum physics".

Referring more directly to the other passage, that is to "quantum physics" let us mention (in particular) orthonormal and biorthonormal sets of vectors, frames and coherent states (also those ’a la Horzela- Szafraniec) as well as bicoherent states. Within this scope any kind of quantisation scheme fits in well, in full or in truncated form. Let us emphasise what we mean by “quantum physics” does not necessarily coincide with “mathematical physics” as it appears in Session 14. Our intension might be to provide with an alternative point of view of those items which are manifested in the description of Session 20.

Notice that Sessions 2 and 21 are concerned with moment problems which sometimes have a common point with our topic. Apparently this includes the theory of orthogonal polynomials and special functions with its rich analytic theory.

The Session 4 is in relation to what we intend to develop here.

Confirmed Talks        

• Fabio Bagarello (Università di Palermo, Italy)
• Emanuel Chetcuti (University of Malta, Malta)
• Henk de Snoo (University of Groningen, Netherlands)
• Erik Díaz-Bautista (Instituto Politécnico Nacional, Mexico)
• Charles Duquet (Université de Bourgogne Franche-Comté, France)
• Rodrigo Fresneda (University of ABC, Brazil)
• Dale Frymark (Czech Academy of Sciences, Czechia)
• Jean Pierre Gazeau (Université Paris Cité, France)
• Andrzej Horzela (H. Niewodniczanski Institute of Nuclear Physics, Polish Academy of Sciences, Poland)
• Alan Kamuda (AGH University of Science and Technology, Poland)
• Sergiusz Kużel (AGH University of Science and Technology, Poland)
• Robert Oeckl (National Autonomous University of Mexico, Mexico)
• Anatolij Prykarpatski (Cracow University of Technology, Poland)
• Jenia Rousseva (University of Michigan, United States of America)
• Franciszek Hugon Szafraniec (Jagiellonian University, Poland)      

Organizers

• William Ross (University of Richmond, USA)

• Javad Mashreghi (Laval University, Québec, Canada)

Model spaces, orthogonal complements of Beurling invariant subspaces for the classical shift on the Hardy space, are ubiquitous in operator theory and function theory. Indeed, in operator theory compressions of the shift to model spaces represent certain classes of Hilbert space contractions. In function theory, model spaces consist of pseudocontinuable functions and this have many fascinating properties. Recently, through work initiated by Sarason, model spaces are being explored through the lens of truncated Toeplitz operators. We propose a special session of roughly 20-25 speakers on model spaces and their close cousins the de Branges-Rovnyak spaces.

 

Confirmed Talks

• Sibaprasad Barik (Ben-Gurion University, Israel)
• M. Cristina Câmara (Instituto Superior Técnico, Universidade de Lisboa, Portugal)
• Raul Curto (University of Iowa, United States of America)
• Alberto Dayan (University of Saarlandes, Germany)
• Ramlal Debnath (Indian Institute of Technology, Bombay, India)
• Kousik Dhara (Weizmann Institute of Science, Israel)
• Christopher Felder (Indiana University, United States of America)
• Emmanuel Fricain (université de Lille, France)
• Michael Hartz (Saarland University, Germany)
• Kamila Kliś-Garlicka (University of Agriulture in Krakow, Poland)
• Bojan Kuzma (University of Primorska, Slovenia)
• Bartosz Łanucha (Maria Curie-Skłodowska University, Poland)
• Adem Limani (Lund University, Sweden)
• Maria Teresa Malheiro (University of Minho, Portugal)
• Ryan O'Loughlin (University of Leeds, United Kingdom)
• Samir Panja (Indian Institute of Technology Bombay, India)
• Dan Timotin (Simion Stoilow Institute of Mathematics of the Romanian Academy, Romania)      

Organizers

• Volker Mehrmann (Technical University, Berlin, Germany)

• Arjan van der Schaft (University of Groningen, Netherlands)

Energy based modeling via port-Hamiltonian (pH) systems has become a very important feature of modern systems and control approaches. PH systems generalize Hamiltonian systems, in the sense that conservation of energy for Hamiltonian systems is replaced by a dissipation inequality. The physical properties of pH systems are encoded in the algebraic structure of the coefficient matrices and in geometric structures associated with the flow of the differential equation. This leads to a remarkably robust modeling paradigm that greatly facilitates the combination and manipulation of pH systems.  In particular, the family of pH systems is closed under power-conserving interconnection;  model reduction of pH systems via Galerkin projection yields (smaller) pH systems; and conversely, pH systems are easily extendable, allowing to increase the range of applications while ensuring that basic conservation principles remain to hold. Furthermore, pH systems have shown their versatility both for finite-dimensional and infinite-dimensional linear systems, as well as for nonlinear physical systems.
      This section will present all major aspects of pH systems, including modeling, numerical methods, control theory, operator theory and functional analysis.

 

Confirmed Talks

• Christopher Beattie (Virginia Polytechnic Institute and State University, United States of America)
• Andrea Brugnoli (University of Twente, Netherlands)
• Dorothea Hinsen (Technische Universitaet Berlin, Germany)
• Mikael Kurula (Abo Akademi University, Finland)
• Laurent Lefevre (Université Grenoble Alpes, France)
• Volker Mehrmann (Technical University , Germany)
• Riccardo Morandin (TU Berlin, Germany)
• Friedrich Philipp (Technische Universität Ilmenau, Germany)
• Benjamin Unger (University of Stuttgart, Germany)
• Michał Wojtylak (Jagiellonian University, Poland)
• Christian Wyss (University of Wuppertal, Germany)

Organizers

• Janusz Wysoczański (Wroclaw University, Poland)

• Vitonofrio Crismale (University of Bari, Italy)

• David Jekel (University of California, San Diego, USA)

In this Session we intend to present recent developments in the wide area of noncommutative probability and their applications to operator algebras and in operator theory. Noncommutative probability is based on various notions of independences, which are meaningful for elements of arbitrary *-algebras. These notions include freeness of Voiculescu, monotone independence of Muraki, Boolean independence and mixtures of them. Models of such independences are given by algebras generated by creation and annihilation operators acting on various deformations of the full Fock space, which produce new interesting examples of operator algebras to investigate. On the other hand, classical properties enjoyed by commutative random variables are also generalized to these noncommutative settings. This includes studies of various convolutions of probability measures described by appropriate moment-cumulant relations. Deformations of measures and convolutions can be generalized to the level of operators, which leads to new results in operator theory.

Confirmed Talks        

• Nicholas Boschert (UCLA, United States of America)
• Simone Del Vecchio (Università di Bari Aldo Moro, Italy)
• Wiktor Ejsmont (Wrocław University  of Science and Technology , Poland)
• Franco Fagnola (Politecnico di Milano, Italy)
• Alexander Frei (University of Copenhagen, Denmark)
• Jorge Garza Vargas (UC Berkeley, United States of America)
• Maria Elena  Griseta (CNR - National Research Council, Italy)
• Tobias Mai (Saarland University, Germany)
• Marcin Marciniak (University of Gdańsk, Poland)
• Wojciech Młotkowski (University of Wroclaw, Poland)
• Lahcen Oussi (University of Wroclaw, Poland)
• Patryk Pagacz (Jagiellonian University, Poland)
• James Pascoe (University of Florida, United States of America)
• Stefano Rossi (Università degli studi di Bari Aldo Moro, Italy)
• Andrzej Sitarz (Jagiellonian University, Poland)
• Mansi Suryawanshi (Indian Statistical Institute, India)
• Victor Vinnikov (Ben Gurion University of the Negev, Israel)
• Paola Zurlo (Aldo Moro University of Bari, Italy)      

Organizers       

           
• Jurij Volcic (University of Copenhagen, Denmark)

           
• James Eldred Pascoe (University of Florida, USA)

Advancements in noncommutative function theory, noncommutative real algebraic geometry and related topics will be discussed.Related topics may include the algebriac theory of free skew fields, quantum information theory, optimization, matrix convexity,and systems and control.

 

Confirmed Talks

• Martino Lupini (Newcastle University, United Kingdom)
• Robert Martin (University of Manitoba, Canada)
• Tim Netzer (University of Innsbruck, Austria)
• Guy Salomon (Weizmann Institute of Science, Israel)
• Konrad Schmüdgen (University of Leipzig, Germany)
• Matthias Schötz (Institut of Mathematics,  Polish Academie of Sciences, Poland)
• Eli Shamovich (Ben-Gurion University of the Negev, Israel)
• Baruch Solel (Technion, Israel)
• Ryan Tully-Doyle (California Polytechnic State University, United States of America)
• Mirte van der Eyden (University of Innsbruck , Austria)
• Victor Vinnikov (Ben Gurion University of the Negev, Israel)
• Tapesh Yadav (University of Florida, United States of America)

Organizers

• David Kribs (University of Guelph, Canada)
• Ilya Spitkovsky (New York University Abu Dhabi, United Arab Emirates)

• Thomas Schulte-Herbrüggen (Technische Universität München, Germany)
• Karol Życzkowski (Jagiellonian University Kraków, Poland)

We aim to bring together both researchers working on the properties of the numerical range per se (its shape and explicit description for various classes of structured matrices and operators), its various generalizations (higher rank, normalized, maximal, etc.), and applications to quantum and statistical mechanics, quantum information and computation, numerical methods, and its connections to operator theory. A special emphasis will be put on the results stemming from Kippenhahn's work (Kippenhahn polynomials, Kippenhahn curves).

 

Confirmed Talks        

• Aikaterini Aretaki (Department of Mathematics,  University of Thessaly, Greece)
• Mojtaba Bakherad (Department of Mathematics,  University of Sistan and Baluchestan, Iran, Islamic Republic of)
• Pintu Bhunia (Jadavpur University, India)
• Dariusz Chruściński (Nicolaus Copernicus University, Poland)
• Monire Hajmohamadi (Sistan and Baluchestan, Iran,  Islamic Republic of)
• Aleksandra Krawiec (Institute of Theoretical and Applied Informatics,  Polish Academy of Sciences, Poland)
• Patryk Pagacz (Jagiellonian University, Poland)
• Łukasz Pawela (Institute of Theoretical and Applied Informatics,  Polish Academy of Sciences, Poland)
• Zbigniew Puchała (Institute of Theoretical and Applied Informatics,  Polish Academy of Sciences, Poland)
• Mizanur Rahaman (ENS de Lyon, France)
• Grzegorz Rajchel-Mieldzioć (ICFO - Instute of Photonic Sciences, Spain)
• Thomas Schulte-Herbrueggen (Technical University of Munich (TUM), Germany)
• Ilya Spitkovsky (Nyuad, United Arab Emirates)
• Christiane Tretter (University of Bern , Switzerland )
• Frederik vom Ende (Technical University of Munich, Germany)
• Elias Wegert (TU Bergakademie Freiberg, Germany)
• Karol Życzkowski (Jagiellonian University/Center for Theoretical Physics of the Polish Academy of Sciences, Poland)
• Ivan Todorov (University of Delaware, United States)
• Weis (, )

Organizers

• Tomasz Kania (Jagiellonian University in Kraków, Czech Academyof Sciences)

• Niels Laustsen (Lancaster University, United Kingdom)

• Kevin Beanland (Washington & Lee University, USA)

A session dedicated to recent progress in the study of bounded operators on Banach spaces, especially the significant results obtained in the last few years concerning the number of closed ideals of the Banach algebra of bounded operators acting on a Banach space.

 

Confirmed Talks

• Max Arnott (Lancaster University, United Kingdom)
• Stefano Ciaci (Tartu University, Estonia)
• Rainis Haller (University of Tartu, Estonia)
• Ivan Ivec (University of Zagreb Faculty of Metallurgy, Croatia)
• Tomasz Kochanek (University of Warsaw, Poland)
• Piotr Koszmider (Institute of Mathematics of the Polish Academy of Sciences, Brazil)
• Johann Langemets (University of Tartu, Estonia)
• Richard Lechner (Johannes Kepler University, Austria)
• Grzegorz Lewicki (Jagiellonian University, Poland)
• Natalia Maślany (Jagiellonian University, Poland)
• Marian Nowak (University of Zielona Góra, Poland)
• Anna Pelczar-Barwacz (Jagiellonian University, Poland)
• Aljoša Peperko (University of Ljubljana and Institute of Mathematics, Physics and Mechanics, Slovenia)
• Grzegorz Plebanek (University of Wrocław, Poland)
• Tommaso Russo (Czech Academy of Sciences, Czechia)
• Juliusz Stochmal (Kazimierz Wielki University, Poland)
• Jarosław Swaczyna (Łódź University of Technology, Poland)
• Triinu Veeorg (University of Tartu, Estonia)

Organizers

• Petru Cojuhari (AGH University of Technology Kraków, Poland)

• Aurelian Gheondea (Bilkent University, Ankara, Turkey, "Simion Stoilow" Institute of Mathematics, Romania)

The session "Operator Theory and Mathematical Physics" will focus on current developments in operator theory and its applications to problems of mathematical physics, quantum mechanics, quantum field theory and other related fields. The main goal is to invite experts to present their latest advances in operator theory techniques that are related to mathematical physics problems as well as to point out operator theory problems for future research.

 

Confirmed Talks

• Nikolaos Alexandrakis (Lancaster University, United Kingdom)
• Olena Atlasiuk (Institute of Mathematics of the National Academy of Sciences of Ukraine, Ukraine)
• Diana Barseghyan (University of Ostrava, Czechia)
• Tomáš Bárta (Charles University, Czechia)
• Jussi Behrndt (TU Graz, Austria)
• Gabriel Cardoso (Instituto Superior Técnico, Portugal)
• Kamila Dębowska (AGH University of Science and Technology, Poland)
• Josef Diblík (Brno University of Technology, Czechia)
• Venku Naidu Dogga (Indian Institute of Technology Hyderabad, India)
• Benjamin Eichinger (Vienna University of Technology, Austria)
• Marek Galewski (Lodz University of Technology, Poland)
• Oleksandr Gomilko (Faculty of Mathematics and Computer Science, Nicolas Copernicus University, Poland)
• Seppo Hassi (University of Vaasa, Finland)
• Markus Holzmann (Graz University of Technology, Austria)
• Palle Jorgensen (University of Iowa, United States of America)
• Grzegorz Kleszcz (AGH University of Science and Technology, Poland)
• Sergiusz Kużel (AGH University of Science and Technology, Poland)
• Anton Lunyov (Meta Platforms, Inc., United States of America)
• Maria Malejki (AGH University of Science and Technology, Faculty of Applied Mathematics, Poland)
• Mircea Martin (Baker University, United States of America)
• Volodymyr Mikhailets (Institute of Mathematics, National Academy of Sciences of Ukraine, Ukraine)
• Mirna Mohamad Charif (Université du Littoral Cote d'Opale, France)
• Marcin Moszyński (University of Warsaw, Poland)
• Anna Muranova (University of Warmia and Mazury, Poland)
• Leonid Nizhnik (Institute of Mathematics National Academy of Sciences of Ukraine, Ukraine)
• Irina Nizhnik (Institute of Mathematics National Academy of Sciences of Ukraine, Ukraine)
• Jakob Reiffenstein (University of Vienna, Austria)
• Grigori Rozenblum (Chalmers University of Technology, Sweden)
• Peter Schlosser (Graz University of Technology, Austria)
• Aneta Sliżewska (University of Białystok, Poland)
• Christian Stelzer (Graz University of Technology, Austria)
• Tri Truong (University of Ostrava, Czechia)
• Iryna Yehorchenko (Institute of Mathematics of the National Academy of Sciences of Ukraine, Ukraine)
• Ewelina Zalot (AGH University of Science and Technology, Poland)
• Radoslaw Zawiski (Silesian University of Technology, Poland)
• Lech Zielinski (Université du Littoral Cöte d'Opale, France)

Merged with section 12.

Organizers

• Elias Katsoulis (East Carolina University, USA)

• Matthew Kennedy (University of Waterloo, Canada)

The theory of operator systems and operator spaces originates in work of Stinespring and Arveson from the sixties. The theory has subsequently experienced remarkable growth, and has found significant applications in operator algebras and beyond. Arveson's original goal was the development of an abstract framework for dilation theory, along with a corresponding theory of boundaries for operator algebras. A complete realization of this goal took many years to fully materialize, and required deep work by numerous mathematicians. A crucial development was Hamana's introduction of injective envelopes for operator systems, along with his corresponding proof of the existence of the C*-envelope. These ideas have recently found exciting new applications, for example to the ideal structure of operator algebras arising from noncommutative dynamics, to the Hao-Ng isomorphism problem, and to the study of co-universal C*-algebras algebras. The purpose of this special session is to provide a detailed picture of the many applications of operator space techniques in operator algebras, and to bring together practitioners within these diverse areas.

 

Confirmed Talks         

• Raphael Clouatre (University of Manitoba, Canada)
• Shirly Geffen (KU Leuven, Belgium)
• Evgenios Kakariadis (Newcastle University, United Kingdom)
• Masayoshi Kaneda (Georg-August-Universität Göttingen, Germany)
• Elias Katsoulis (East Carolina University, United States of America)
• Marcelo Laca (University of Victoria, Canada)
• Xin Li (University of Glasgow, United Kingdom)
• Martino Lupini (Newcastle University, United Kingdom)
• Camila Sehnem (University of Waterloo, Canada)
• Orr Shalit (Technion - Israel Institute of Technology, Israel)
• Eli Shamovich (Ben-Gurion University of the Negev, Israel)
• Sven Raum (Stockholm University, Sweden)
• Sanaz Pooya (Stockholm University, Sweden)
• Ivan Todorov (University of Delaware, United States)

Organizers

• Daniel Alpay (Chapman University, California, USA)

• Paula Cerejeiras (University of Aveiro, Portugal)

• Fabrizio Colombo (Politecnico di Milano, Italy)

The theory of operator systems and operator spaces originates in work of Stinespring and Arveson from the sixties. The theory has subsequently experienced remarkable growth, and has found significant applications in operator algeClifford analysis, and more generally hypercomplex analysis, is an emergent field with a wide range of applications, from quantum mechanics to modern signal processing. As such it plays an increasingly important role, and deserves a central place in IWOTA meetings. It is dedicated to the extension of classical analysis to non-commutative structures while focusing on the study of functions belonging to the null-space of a Dirac operator. This session aims to invite experts to present their latest advances related to Operator Theory in Clifford analysis, as well as its applications to physics, numerical analysis of PDEs, development of a spectral theory for quaternion operators, linear systems, and others.

 

Confirmed Talks

• Swanhild Bernstein (TU Bergakademie Freiberg, Germany)
• Fabrizio Colombo (Politecnico di Milano, Italy)
• Antonino De Martino (Politecnico di Milano, Italy)
• Alberto Debernardi Pinos (Univeristy of Aveiro, Portugal)
• David Eelbode (University of Antwerp, Belgium)
• Thomas Fink (University of Passau, Germany)
• Uwe Kähler (Universidade de Aveiro, Portugal)
• David Kimsey (Newcastle University, United Kingdom)
• Roman Lavicka (Charles University, Czechia)
• Astrid Massé (Ghent University, Belgium)
• Peter Massopust (Technical University of Munich, Germany)
• Teppo Mertens (Ghent University, Belgium)
• Guner Muarem (Universiteit Antwerpen, Belgium)
• Stefano Pinton (Politecnico di Milano, Italy)
• Irene Sabadini (Politecnico di Milano, Italy)
• Baruch Schneider (University of Ostrava, Czechia)
• Martha Lina Zimmermann (Technische Universität Bergakademie Freiberg, Germany)  

Organizers       

           
• Jochen Glück (University of Wuppertal, Germany)          

• Henrik Kreidler (University of Wuppertal, Germany)

        Positivity plays a major role in modern operator theory. In this session we aim to discuss two major developments which have been in the focus of recent research.       

Organizers

• Zinaida Lykova (Newcastle University, United Kingdom)
• Nicholas Young (Newcastle University, United Kingdom)
• John E. McCarthy (Washington University, St. Louis, USA)
• Łukasz Kosiński (Jagiellonian University, Kraków, Poland)

Confirmed Talks         

• Michael Dritschel (Newcastle University , United Kingdom)
• Gargi Ghosh (Indian Institute of Science, India)
• Poornendu Kumar (Indian Institute of Science Bangalore, India)
• Zinaida Lykova (Newcastle University, United Kingdom)
• M. N. Reshmi (Indian Institute of Technology, Bombay , India)
• Nicholas Young (Newcastle University, United Kingdom)

Organizer

• Christiane Tretter (Bern University, Switzerland)

The spectral theory of non-selfadjoint operators has seen steadily growing interest in the last decades for at least two reasons. Firstly, non-selfadjoint operators are ubiquitous in mathematical physics, starting from classical fields such as resonances in quantum mechanics over damped wave equations in elasticity theory, flows of viscous compressible fluids in hydrodynamics to highly topical areas such as photonics and phononics. Secondly, non-selfadjoint operators exhibit a rich variety of surprising phenomena and pose interesting new challenges, such as unpleasant resolvent growth, high sensitivity of spectra to perturbations, spectral pollution outside of essential spectral gaps or spectral invisibility  in numerical approximations. This special session is dedicated to recent developments in this exciting area of operator theory and its applications.

Confirmed talks

• Oscar Bandtlow (Queen Mary University of London, United Kingdom)
• Sabine Boegli (Durham University, United Kingdom)
• Volodymyr Derkach (Vasyl Stus Donetsk University, Ukraine)
• Christian Engström (Linnaeus University, Sweden)
• Martin Grothaus (TU Kaiserslautern, Germany)
• Nicolas Hefti (University of Bern, Switzerland)
• Damian Kołaczek (University of Agriculture in Krakow / AGH University of Science and Technology in Krakow, Poland)
• Yuri Latushkin (University of Missouri, United States of America)
• Marko Lindner (Hamburg University of Technology, Germany)
• Lady Estefania Murcia Lozano (Cinvestav, Mexico)
• Marco Peruzzetto (Kiel University, Germany)
• Vyacheslav Pivovarchik (South Ukranian National Pedagogical University, Ukraine)
• Vivek Puthupparambil Viswambharan (University of Kerala, India)
• Frank Rösler (Cardiff University, United Kingdom)
• Alexei Stepanenko (Cardiff University, United Kingdom)
• Lukas Vorberg (University of Wuppertal, Germany)
• Ian Wood (University of Kent, United Kingdom)
       

Organizer

• Raul Curto (University of Iowa, Iowa, USA)

Over the last two decades, a myriad of new and exciting results have been obtained in the field of moment problems, and significant applications to various areas of pure and applied mathematics have been obtained. The Special Session will aim at bringing some of the top contributors to present cutting-edge research, and to stir renewed interest in these topics.

 

Confirmed Talks

• Chafiq Benhida (University of Lille, France)
• Philipp di Dio (University of Konstanz, Germany)
• Maria Infusino (University of Cagliari, Italy)
• Zenon Jabłoński (Jagiellonian University, Poland)
• David Kimsey (Newcastle University, United Kingdom)
• Salma Kuhlmann (University of Konstanz, Germany)
• Konrad Schmüdgen (University of Leipzig, Germany)
• Jan Stochel (Jagiellonian University, Poland)
• Franciszek Hugon Szafraniec (Jagiellonian University, Poland)
• Matina Trachana (Cardiff University, United Kingdom)
• Aljaž Zalar (University of Ljubljana, Slovenia)
• El Hassan Zerouali (Mohammed V University in Rabat, Morocco)
       

Organizers

• Zbigniew Burdak (University of Agriculture in Krakow, Poland)
• Patryk Pagacz (Jagiellonian University, Poland)

Confirmed talks 

• Bhumi Amin (Indian Institute of Technology Hyderabad, India)
• Shubham Rameshsingh Bais (Indian Institute of Technology Hyderabad, India)
• Petr Blaschke (Silesian University in Opava, Czechia)
• Zbigniew Burdak (University of Agriculture in Krakow, Poland)
• Oznur Ozkan Kilic (Baskent University, Turkey)
• Geetanjali Milind Phatak (Sir Parashurambhau College, Savitribai Phule Pune University, India)
• Shubham Rastogi (Indian Institute of Science, India)
• Sanehlata Sanehlata (Indian Institute of Technology Kanpur, India)
       

Organizer

• Carlos Pérez (University of the Basque Country and BCAM (BASQUE CENTER FOR APPLIED MATHEMATICS), Bilbao, Spain)

The interaction of Harmonic Analysis, Potential theory and Function Spaces is a fruitful area of modern analysis. The main purpose of this session is to bring together researchers working in these interrelated areas. Special emphasis will be made on the advances in maximal function methods related to Poincaré and Sobolev inequalities, pointwise estimates, approximation for Sobolev functions, Hardy's inequalities, Riesz transforms, Fractional Integrals, BMO theory etc.

 

Confirmed Talks      

• Emil Airta (University of Jyväskylä, Finland)
• Raul Hindov (Lund University, Sweden)
• Petr Honzik (Charles University, Czechia)
• Nick Lindemulder (Radboud University, Netherlands)
• Emiel Lorist (Delft University of Technology, Netherlands)
• Carlos Mudarra (University of Jyväskylä, Finland)
• Kim Myyryläinen (Aalto University, Finland)
• Tuomas Oikari (University of Jyväskylä, Finland)
• Lars Erik Persson (Karlstad University, Sweden, and UiT The Arctic University of Norway ,  Sweden)
• Natasha Samko (UiT The Arctic University of Norway, Norway)
• Julian Weigt (Aalto University, Finland)