Lista referatów

• 2023-06-07, godz. 17:15, 405 IMPAN & ZOOM

  ROBERT YUNCKEN (Université Clermont Auvergne, France)

  CRYSTALLIZING FUNCTIONS ON COMPACT LIE GROUPS

  The theory of crystal bases, due to Kashiwara and Lusztig, is a means of simplifying the representation theory of semisimple Lie algebras by passing through quantum groups. Specifically, varying the parameter q of a quantized enveloping algebra, we pass from the classical theory at ...

• 2023-05-31, godz. 17:15, 405 IMPAN & ZOOM

  ROBERTO CONTI (Sapienza Università di Roma, Italy)

  CLASSICAL SYMMETRIES OF NONCOMMUTATIVE SPACES: A GUIDED TOUR THROUGH THE CUNTZ ALGEBRA CASE

  Multiplets of isometries with orthogonal ranges summing up to 1 were systematically used by Doplicher and Roberts in the early 70's  in their study of the superselection structure of Quantum Field Theory. Nowadays, the C*-algebra generated by any such multiplet is known as the Cuntz algebra...

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

  SOUMALYA JOARDAR (Indian Institute of Science Education and Research Kolkata, India)

  EQUIVARIANT C*-CORRESPONDENCE

  Let G be a compact quantum group. Then upon introducing the notion of a G-equivariant C*-correspondence and a G-C*-algebra, we shall show that a G-equivariant C*-correspondence makes the associated Pimsner algebra a G-C*-algebra. Moreover, for a Kac-type compact quan...

• 2023-05-10, godz. 17:15, 405 IMPAN & ZOOM

  DEVARSHI MUKHERJEE (Universidad de Buenos Aires, Argentina)

  THE HOMOTOPY K-THEORY FOR NON-ARCHIMEDEAN BORNOLOGICAL ALGEBRAS

  I will define non-Archimedean bivariant K-theory. This is the target of the universal functor on the category of complete, torsion free bornological Zp-algebras that satisfies homotopy invariance, stability and excision, and is a non-Archimedean analogue of Cuntz's kk-theory for locally con...

• 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...

Strony