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Seminários do IMPA

Teoria de Representações

Título
Chiral (Factorization) Homology
Expositor
Reimundo Heluani

IMPA
Data
Segunda-feira, 19 de fevereiro de 2018, 15:30
Local
Sala 232
Resumo

The purpose of this minicurse is to introduce the audience to a conjecture by Beilinson and Drinfeld regarding the higher chiral homology groups of the affine Kac-Moody algebra at positive integral level.

In this first lecture we will introduce the Ran space $R(X)$ of an algebraic curve $X$ and its corresponding categories of $\mathscr{O}$ and $\mathcal{D}$-modules. We will describe the symmetric monoidal structure in these categories and define chiral algebras as Lie algebras in these tensor categories. We will finish with the definition of chiral homology groups of $X$ with values in a chiral algebra.