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Link do kanału youtube: https://www.youtube.com/channel/UCnHfrrAKk9Jaaw8oC2s_dSQ
Zoom platform link: https://uw-edu-pl.zoom.us/j/95105055663?pwd=TTIvVkxmMndhaHpqMFUrdm8xbzlHdz09
Meeting ID: 951 0505 5663 Passcode: 924338
2021-11-10, godz. 17:15, zoom
FRANCESCA ARICI (Universiteit Leiden)
SPLIT EXTENSIONS AND KK-EQUIVALENCES FOR QUANTUM PROJECTIVE SPACES
In this talk, I will describe a construction of an explicit KK-equivalence between the noncommutative C*-algebras of continuous functions on the Vaksman-Soibelman quantum complex projective spaces and their commutative counterparts. The construction relies on general results about KK-equivalences, a...
2021-11-03, godz. 17:15, zoom
ANDREAS KRAFT (IMPAN)
FIRST STEPS TOWARDS [FORMALITY, REDUCTION]=0?
One open question in deformation quantization is its compatibility with reduction in the case of Poisson manifolds. In this talk, we propose a way to study this compatibility by investigating the commutativity of a diagram of certain L-infinity-morphisms. On the classical side, one considers the cur...
2021-10-27, godz. 17:15, zoom
SUGATO MUKHOPADHYAY (IMPAN)
LEVI-CIVITA CONNECTIONS ON TAME DIFFERENTIAL CALCULI
The notion of tame spectral triples and that of Levi-Civita connections defined on them will be presented. We will discuss a result on the existence and uniqueness of these Levi-Civita connections, along with examples at our disposal. We will conclude with a report of further developments on a class...
2021-10-20, godz. 17:15, zoom
ANDRZEJ SITARZ (Uniwersytet Jagielloński)
SPECTRAL TRIPLES WITH NON-PRODUCT DIRAC OPERATORS
Models of noncommutative geometry that are beyond the usual almost-commutative framework that assumes product metrics may lead to interesting physical theories in both particle physics and gravity. In the former, they allow a description of the Standard Model without the fermion doubling, wi...
2021-10-13, godz. 17:15, zoom
TOMASZ MASZCZYK (University of Warsaw)
We construct, study and apply a characteristic map from the relative periodic cyclic homology of the quotient map for agroup action to the periodic Hopf-cyclic homology with coefficients associated with the inertia of the action. This characteristic map comes from its noncommutative-geometric, or qu...
2021-10-06, godz. 17:15, zoom
MASOUD KHALKHALI (Western University)
It is always interesting to find connections between NCG and other central areas of mathematics. Recent work gradually unravels deep connections between NCG and random matrix theory. In this talk, I shall explain certain techniques we have employed so far. In some cases, one can apply the Co...
2021-06-09, godz. 17:15, zoom
NIGEL HIGSON (Pennsylvania State University)
THE OKA PRINCIPLE AND A K-THEORETIC PERSPECTIVE ON THE LANGLANDS CLASSIFICATION
The Oka principle in complex geometry asserts that continuous structures in a variety of contexts, including vector bundles on polynomially convex sets, carry unique holomorphic structures, up to isomorphism. The Oka principle fits naturally into K-theory, and it has long been proposed as a me...
ALAIN CONNES (IHÉS / Collège de France)
SPECTRAL TRIPLES AND ZETA-CYCLES
This is joint work with C. Consani. When contemplating the low lying zeros of the Riemann zeta function one is tempted to speculate that they may form the spectrum of an operator of the form 1/2+iD with D self-adjoint, and to search for the geometry provided by a spectral triple for w...
ADAM M. MAGEE (SISSA)
RECENT PROGRESS IN TWISTED REAL STRUCTURES FOR SPECTRAL TRIPLES
Within the approach to NCG based on Connes' spectral triples, real spectral triples, where the addition of a so-called real structure allows the differentiation between spin^c and spin structures and refines the K-homology, are of parti...
ALEXANDER GOROKHOVSKY (University of Colorado Boulder)
THE HEISENBERG CALCULUS AND CYCLIC COHOMOLOGY
On a compact contact manifold, a pseudodifferential operator in the Heisenberg calculus with an invertible symbol is a hypoelliptic Fredholm operator. The index theory of Heisenberg elliptic operators has been extensively investigated from various perspectives. In this talk,...
