Lista referatów

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

  PETER HOCHS (Radboud Universiteit, Nijmegen, Netherlands)

  EQUIVARIANT ANALYTIC TORSION AND AN EQUIVARIANT RUELLE DYNAMICAL ZETA FUNCTION

  Analytic torsion was introduced by Ray and Singer as a way to realise Reidemeister-Franz torsion analytically. (The equality was independently proved by Cheeger and Müller.) The Ruelle dynamical zeta function is a topological way to count closed curves of flows on compact manifolds. The Fried c...

• 2023-11-08, godz. 17:15, 405 IMPAN & ZOOM

  MICHAEL FRANCIS (Western University, London, Canada)

  THE TRANSVERSE ORIENTATION CLASS OF CERTAIN SINGULAR FOLIATIONS

  In the 1980s, Connes defined the transverse orientation class of a transversely oriented foliation and showed it is a non-torsion element in K-theory. We will examine a special family of singular foliations for which a transverse orientation class can also be defined. Naturally, the holonomy groupoi...

• 2023-10-25, godz. 17:15, 405 IMPAN & ZOOM

  STEFAAN CAENEPEEL (Vrije Universiteit Brussel, Belgium)

  FORMAL THEORY OF MONADS, ADJUNCTIONS, ENTWINING STRUCTURES AND GALOIS THEORY

  Brzeziński (2002) introduced Galois theory for corings with a fixed grouplike element. El Kaoutit and Gómez-Torrecillas (2003) generalized this to so-called comatrix corings. This establishes a general framework for existing Galois theories: classical Galois theory, Hopf-Galois ...

• 2023-10-18, godz. 17:15, 405 IMPAN & ZOOM

  MAGNUS B. LANDSTAD (Norges teknisk-naturvitenskapelige universitet, Trondheim, Norway)

  EXOTIC GROUP ALGEBRAS, CROSSED PRODUCTS, AND COACTIONS

  If G is a locally compact group, we have the full group C*-algebra C*(G) and the reduced C*_r(G). We call a C*-algebra properly between C*(G) and C*_r(G) exotic. Similarly, if G acts on a C*-algebra A we can form the full crossed product C*(G...

• 2023-10-11, godz. 17:15, 405 IMPAN & ZOOM

  THERESE BASA LANDRY (University of California, Santa Barbara, USA)

  SPECTRAL TRIPLES FOR NONCOMMUTATIVE SOLENOIDS

  Noncommutative solenoids are inductive limit algebras built from rotation algebras. By viewing noncommutative solenoids as twisted group C*-algebras, we construct odd finitely summable spectral triples for noncommutative solenoids based on length functions of bounded doubling. Our spectral triples a...

• 2023-10-04, godz. 17:15, 405 IMPAN & ZOOM

  MANISH KUMAR (IMPAN, Warszawa, Poland)

  FACTORIALITY AND FULLNESS OF q-ARAKI-WOODS VON NEUMANN ALGEBRAS

  We discuss the factoriality, non-injectivity, and fullness questions of q-Araki-Woods von Neumann algebras, constructed by Hiai. These algebras are non-tracial counterparts of q-Gaussian algebras, which combine the q-deformations of free-group factors due to Bożejko, Kummerer and Spe...

• 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...

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