Lista referatów

• 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...

• 2023-01-25, godz. 17:15, 405 IMPAN & ZOOM

  Piotr M. Hajac (IMPAN)

  THE COVARIANT FUNCTORIALITY OF GRAPH ALGEBRAS

  In the standard category of directed graphs, morphisms respect the lengths of paths. However, this requirement is way too strong to present natural *-homomorphisms between graph C*-algebras as covariantly induced from morphisms of graphs, so we define a new category of directed graphs where morphism...

• 2023-01-18, godz. 17:15, 405 IMPAN & ZOOM

  HUA WANG (IMPAN)

  CONSTRUCTIONS OF QUANTUM GROUPS WITH THE RAPID DECAY PROPERTY

  Starting with Haagerup's seminal work, the rapid decay (RD) property was systematically studied by Jolissaint for discrete groups, and later by Vergnioux, in the setting of discrete quantum groups. Through the work of many hands, the RD property is nowadays an interesting approximation p...

• 2023-01-11, godz. 17:15, 405 IMPAN & ZOOM

  AHMAD REZA HAJ SAEEDI SADEGH (Northeastern University)

  DEFORMATION SPACES, GETZLER'S RESCALING, AND AN EQUIVARIANT INDEX THEOREM FOR LIE GROUPOIDS

  In recent work, Higson and Yi developed a new perspective on Getzler's symbol calculus, reinterpreting the latter in terms of a convolution algebra of sections of the rescaled bundle over the tangent groupoid of a spin manifold. We generalize the construction of the rescaled bundle to ...

• 2022-12-21, godz. 17:15, 405 IMPAN & ZOOM

  MARIUSZ TOBOLSKI (Uniwersytet Wrocławski)

  THE CONTRAVARIANT FUNCTORIALITY OF GRAPH ALGEBRAS

  We introduce a subcategory of directed graphs for which the construction of Leavitt path algebras induces a contravariant functor into the category of algebras. Then we prove a theorem stating under which conditions this functor turns pushouts of directed graphs into pullbacks of algebras. Finally, ...

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