56:53
publiée le 18 avril 2025
Extremal eigenvectors, the spectral action, and the zeta spectral triple
De Alain Connes
Surprising VOA structures from Quantum Topology
De Sergei Gukov
Apparaît dans la collection : Vertex Algebras and Representation Theory / Algèbres vertex et théorie des représentations
In quantum topology, one usually constructs invariants of knots and 3-manifolds starting with an algebraic structure with suitable properties that can encode braiding and surgery operations in three dimensions. ln this talk, 1 review recent work on q-series invariants of 3-manifolds, associated with quantum groups at generic q, that provide a connection between quantum topology and algebra going in the opposite direction: starting with a 3-manifold and a choice of Spin-C structure, the q-series invariant turns out to be a character of a (logarithmic) vertex algebra that depends on the 3-manifold.
