North Atlantic Noncommutative Geometry Seminar

26 lutego 2025 17:15
ARNAUD BROTHIER (Università di Trieste, Italy & UNSW Sydney, Australia)
MODULI OF REPRESENTATIONS OF THE CUNTZ ALGEBRA OBTAINED VIA VAUGHAN JONES TECHNOLOGY (REPRESENTATIONS OF THE CUNTZ ALGEBRA OBTAINED VIA VAUGHAN JONES TECHNOLOGY)

22 stycznia 2025 17:15
CARLA FARSI (University of Colorado, Boulder, USA)
METRIC LIMITS OF SPECTRAL TRIPLES AND NONCOMMUTATIVE PRINCIPAL G-BUNDLES (METRIC LIMITS OF SPECTRAL TRIPLES AND NONCOMMUTATIVE PRINCIPAL G-BUNDLES)
The spectral propinquity, a generalization of the Gromov-Hausdorff distance to the realm of noncommutative geometry, is a distance on metric spectral triples developed within the framework of metric noncommutative geometry by Latrémolière. Metric spectral triples …

15 stycznia 2025 17:15
RYSZARD NEST (Københavns Universitet, Denmark)
AUTOMORPHISMS OF THE BOUTET DE MONVEL ALGEBRA (AUTOMORPHISMS OF THE BOUTET DE MONVEL ALGEBRA)

8 stycznia 2025 17:15
TOMASZ MASZCZYK (Uniwersytet Warszawski, Poland)
THE CLIFFORD-DIRAC QUANTIZATION OF THE DE RHAM COMPLEX (THE CLIFFORD-DIRAC QUANTIZATION OF THE DE RHAM COMPLEX)
We show that the de Rham complex is a degeneration of a one parameter family of filtered Z/2Z-graded algebras with a degree one almost derivation that are generically isomorphic to the Clifford algebra equipped with …

18 grudnia 2024 17:15
PALLE JORGENSEN (University of Iowa, Iowa City, USA)
q-CANONICAL COMMUTATION RELATIONS AND THE STABILITY OF THE CUNTZ ALGEBRA (q-CANONICAL COMMUTATION RELATIONS AND THE STABILITY OF THE CUNTZ ALGEBRA)
Motivated by questions from quantum physics, we study commutation relations with a deformation parameter q. The case q=0 yields the Cuntz relations and the Cuntz algebra. We show that there are C*-isomorphisms for values of …

11 grudnia 2024 17:15
BENJAMIN ANDERSON-SACKANEY (University of Saskatchewan, Saskatoon, Canada)
C*-SIMPLICITY AND BOUNDARY ACTIONS OF DISCRETE QUANTUM GROUPS (C*-SIMPLICITY AND BOUNDARY ACTIONS OF DISCRETE QUANTUM GROUPS)
A group is C*-simple if its reduced C*-algebra is simple. Two of the most historically important notions used for proving a group is C*-simple are Powers’ averaging property and topologically free boundary actions. These techniques …

4 grudnia 2024 17:15
MATTHEW KENNEDY (University of Waterloo, Canada)
INTERMEDIATE SUBALGEBRAS FOR REDUCED CROSSED PRODUCTS OF DISCRETE GROUPS (INTERMEDIATE SUBALGEBRAS FOR REDUCED CROSSED PRODUCTS OF DISCRETE GROUPS)

27 listopada 2024 17:15
DIMITRIS M. GERONTOGIANNIS (IMPAN, Warszawa, Poland)
THE log-LAPLACIAN ON AHLFORS REGULAR SPACES AND NONCOMMUTATIVE BOUNDARIES (THE log-LAPLACIAN ON AHLFORS REGULAR SPACES AND NONCOMMUTATIVE BOUNDARIES)

20 listopada 2024 17:15
ALAIN CONNES (Collège de France and IHES)
FROM CLASS FIELD THEORY TO ZETA SPECTRAL TRIPLES (FROM CLASS FIELD THEORY TO ZETA SPECTRAL TRIPLES)
I will cover recent joint work with C. Consani and H. Moscovici on the long search for spectral triples associated to the low lying zeros of zeta (infrared) as well as to ultraviolet zeros and …

13 listopada 2024 17:15
JONAS SCHNITZER (Università di Pavia, Italy)
THE QUANTIZATION OF MOMENTUM MAPS AND ADAPTED FORMALITY MORPHISMS (THE QUANTIZATION OF MOMENTUM MAPS AND ADAPTED FORMALITY MORPHISMS)
If a Lie group acts on a Poisson manifold by Hamiltonian symmetries, there is a well-understood way to get rid of unnecessary degrees of freedom and pass to a Poisson manifold of a lower dimension. …

6 listopada 2024 17:15
RALF MEYER (Georg-August Universität Göttingen, Germany)
CORRESPONDENCES BETWEEN GRAPH C*-ALGEBRAS (CORRESPONDENCES BETWEEN GRAPH C*-ALGEBRAS)
We describe proper correspondences from graph C*-algebras to arbitrary C*-algebras by K-theoretic data. If the target C*-algebra is a graph C*-algebra as well, we may lift an isomorphism and its inverse on a certain invariant …

30 października 2024 17:15
JOHN QUIGG (Arizona State University, Tempe, USA)
THE LADDER (THE LADDER)
We present a new method of establishing a bijective correspondence - in fact, a lattice isomorphism - between invariant ideals of C*-algebras and their crossed products by a fixed locally compact group. It was already …

23 października 2024 17:15
SUGATO MUKHOPADHYAY (SISSA, Trieste, Italy)
ALGEBRAIC AND SPECTRAL TORSIONS ON THE ALMOST COMMUTATIVE GEOMETRY OF DOUBLED MANIFOLDS
I will present a construction of a noncommutative second order differential calculus on the algebra of smooth functions on the product of a manifold with the two-point space. This involves a modification of the standard …

16 października 2024 17:15
FRANCESCO D'ANDREA (Università di Napoli Federico II, Italy)
VAKSMAN-SOIBELMAN ODD QUANTUM SPHERES AND COMPLEX QUANTUM PROJECTIVE SPACES REVISITED
Odd-dimensional quantum spheres were introduced in 1990 by Vaksman and Soibelman as quantum homogeneous spaces of Woronowicz's quantum unitary groups. Since then, they have served as major examples for testing ideas about non-commutative spaces. In …

9 października 2024 17:15
RITA FIORESI (Università di Bologna, Italy)
REDUCTIONS OF QUANTUM PRINCIPAL BUNDLES
We develop the theory of reductions of quantum principal bundles over projective bases. We show how the sheaf-theoretic approach can be effectively applied to certain relevant examples such as the Klein model for the projective …