VIRTUAL MIT Infinite Dimensional Algebra Seminar
Friday, October 15, 2021 at 3:00pm to 5:00pm
Virtual EventSpeaker: Reimundo Heluani - IMPA
Title: Finite dimensionality of conformal blocks on the torus
Abstract: We will review conditions on a vertex algebra V so that its space of conformal blocks on the torus is finite dimensional. This leads to conditions of V related to C_2 cofiniteness: the zero-th Poisson homology of Zhu's C_2 algebra R_V is finite dimensional. We analyze analogous conditions so that the higher chiral homology of V on the torus is finite dimensional, this leads to the obvious condition on the Poisson homology of Zhu's C_2 algebra, as well as some extra conditions on the full classical limit of V. This is joint work with J. V. Ekeren.
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