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Link do kanału youtube: https://www.youtube.com/channel/UCnHfrrAKk9Jaaw8oC2s_dSQ
Zoom platform link: https://us02web.zoom.us/j/83662713532?pwd=MFpVS1NlQkt4THVtMGdYNTR2Ym93UT09
Meeting ID: 836 6271 3532 Passcode: 764579
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,...
LAURA MANČINSKA (Københavns Universitet)
QUANTUM ENTANGLEMENT, GAMES, AND GRAPH ISOMORPHISMS
Entanglement is one of the key features of quantum mechanics. We will see that nonlocal games provide a mathematical framework for studying entanglement and the advantage that it can offer. We will then take a closer look at graph-isomorphism games&nbs...
GUOLIANG YU (Texas A&M University)
QUANTITATIVE K-THEORY, K-HOMOLOGY AND THEIR APPLICATIONS
I will give an introduction to quantitative K-theory, K-homology and their applications. In particular, I will discuss my recent joint work with Rufus Willett on the universal coefficient theorem for nuclear C*-algebras. If time allows, I will also talk about other rece...
JACK SPIELBERG (Arizona State University)
AF ALGEBRAS ASSOCIATED TO ORIENTED COMBINATORIAL DATA
One of the remarkable features of the construction of C*-algebras from directed graphs is the characterization of approximate finite dimensionality: the C*-algebra is AF if and only if the graph has no directed cycle. This construction has been generalized to other classes of ori...
MAGNUS GOFFENG (Lunds Universitet)
Connes and Moscovici introduced twisted spectral triples over a decade ago as a way of extending spectral noncommutative geometry of finite spectral dimension to situations where no finitely summable spectral triples exist. While there are attractive...
KONRAD AGUILAR (Pomona College)
BUNCE-DEDDENS ALGEBRAS AS QUANTUM-GROMOV-HAUSDORFF-DISTANCE LIMITS OF CIRCLE ALGEBRAS
We show that Bunce-Deddens algebras, which are AT-algebras, are also limits of circle algebras for Rieffel's quantum Gromov-Hausdorff distance, and moreover, form a continuous family indexed by the Baire space. To this end, we endow Bunce-De...
ANDRZEJ SITARZ (Uniwersytet Jagielloński)
THE RIEMANNIAN GEOMETRY OF A DISCRETIZED CIRCLE AND TORUS
Since the inception of noncommutative geometry, the generalization of Riemannian geometry to the noncommutative setup was a challenge. In this talk, we propose techniques that allow us to provide a complete classification of all linear connections for the minimal noncommutative d...
GUILLERMO CORTIÑAS (Universidad de Buenos Aires)
LEAVITT PATH ALGEBRAS AND THE ALGEBRAIC KIRCHBERG-PHILLIPS PROBLEM
The Kirchberg-Phillips theorem says that unital separable nuclear purely infinite simple C*-algebras in the UCT class are classified by their (topological, C*-algebraic) K-theory and, more generally, that any two separable nuclear purely infinite simple C*-algebras that are KK-is...
