Lista referatów

• 2023-04-26, godz. 17:15, 405 IMPAN & ZOOM

  JULIEN BICHON (Université Clermont Auvergne, France)

  THE FAITHFUL FLATNESS OF HOPF ALGEBRAS OVER COIDEAL SUBALGEBRAS WITH CONDITIONAL EXPECTATION

  Faithful flatness is an algebraic concept arising from algebraic geometry and closely related to the question of forming ''good'' quotients. Also, it plays a key role in the noncommutative world, especially in Hopf-algebra theory. After a review of its use and of what is known about ...

• 2023-04-19, godz. 17:15, 405 IMPAN & ZOOM

  KONRAD AGUILAR (Pomona College, USA)

  THE FELL TOPOLOGY AND THE MODULAR GROMOV-HAUSDORFF PROPINQUITY

  Given a unital AF-algebra A equipped with a faithful tracial state, we endow each (norm-closed two-sided) ideal of A with a metrized quantum-vector-bundle structure. The ideals are canonically viewed as modules over A, in the sense of Latrémolière, using previo...

• 2023-04-12, godz. 17:15, 405 IMPAN & ZOOM

  STEFAN WALDMANN (Universität Würzburg, Germany)

  CONVERGENCE OF STAR PRODUCTS: OLD AND NEW

  In this talk, I will explain the issue of convergence for formal star products. While the theory of formal deformation quantizations of general Poisson manifolds is well-understood and explored by many people, for physical applications, formal power series in h are not ...

• 2023-04-05, godz. 17:15, 405 IMPAN & ZOOM

  SUTANU ROY (National Institute of Science Education and Research, India)

  BRAIDED QUANTUM SYMMETRIES OF GRAPH C*-ALGEBRAS

  In this talk, we will explain the existence of a universal braided compact quantum group acting on a graph C*-algebra in the twisted monoidal category of C*-algebras equipped with an action of the circle group. Along the way, we shall also present a braided version of the free unitary quantum gro...

• 2023-03-29, godz. 17:15, 405 IMPAN & ZOOM

  GILLES GONÇALVES DE CASTRO (Universidade Federal de Santa Catarina, Brazil)

  INFINITE-SUM RELATIONS IN C*-ALGEBRAS

  We build a universal C*-algebra using the strong operator topology to describe certain relations. In particular, this allows us to use infinite-sum relations. We show that these algebras have indeed a universal property, and then prove that the Exel-Laca algebras can be defined by consider...

• 2023-03-22, godz. 17:15, 405 IMPAN & ZOOM

  JONATHAN M. ROSENBERG (University of Maryland, USA)

  NONCOMMUTATIVE GEOMETRY AND DUALITY OF ORIENTIFOLD FIELD THEORIES

  An important phenomenon in modern physics is that, often, very different field theories give rise to identical physical predictions. This is what physicists usually call “duality”, though it does not always agree with the mathematical meaning of the term. In string theories, important in...

• 2023-03-15, godz. 17:15, 405 IMPAN & ZOOM

  ILYA SHAPIRO (University of Windsor, Canada)

  CYCLIC HOMOLOGY, COEFFICIENTS, AND LIMITS

  Classically, coefficients for Hopf-cyclic homology were defined as objects that are both a module and a comodule with a compatibility between the two structures. This definition has been generalized to different settings with various levels of success. We will look at two cases where a limit-focused...

• 2023-03-08, godz. 17:15, 405 IMPAN & ZOOM

  MAYUKO YAMASHITA (RIMS, Kyoto University, Japan)

  TOPOLOGICAL MODULAR FORMS AND VANISHING OF HETEROTIC ANOMALY

  In this talk, based on my work with Yuji Tachikawa, I will explain how to use algebraic topology to solve the physical problem of vanishing anomalies in heterotic string theories. We translate this physical problem into the mathematical problem of showing that a certain transformation of generalized...

• 2023-03-01, godz. 17:15, 405 IMPAN & ZOOM

  ARUP KUMAR PAL (Indian Statistical Institute, Delhi Centre, India)

  CRYSTALLIZATION OF THE C*-ALGEBRA C(SUq(n+1))

  We will explain how to obtain the crystal limit of the C*-algebra of continuous functions on the quantum SU(n+1) group as a C*-algebra given by generators and relations. These relations are derived by looking at the irreducible representations of the C*-algebras C(SUq(n+1)) for q>0 and, after ...

• 2023-02-22, godz. 17:15, 405 IMPAN & ZOOM

  TOMASZ MASZCZYK (University of Warsaw, Poland)

  HOCHSCHILD COHOMOLOGY FOR ABSTRACT CONVEXITY AND SHANNON ENTROPY

  The Shannon entropy was introduced as a statistical measure of information loss but appeared in other fields of mathematics as well. We plan to sketch its relations with polylogarithms and motives after Cathelineau, Dupont, Bloch, Goncharov, Elbaz-Vincent, and Gangl, a cohomological interpretation b...

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