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Seminars

Algebraic Geometry Seminar

Introduction to vertex algebras and the chiral de Rham complex.

2024/11/29 (Fri.) 15:00~17:00
  • Date : 2024/11/29 (Fri.) 15:00~17:00
  • Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
  • Speaker : Emile Bouaziz (AS)
  • Organizer : Ionut Ciocan-Fontanine and Adeel Khan and Y.P. Lee (AS)
  • Abstract : This is the first of a series of two talks. In this talk I intend to provide a reasonably in depth introduction to vertex algebra theory, assuming minimal background. Having set up the necessary prerequisites, I will in particular go over the construction the chiral de Rham complex, a sheaf of vertex algebras on any smooth variety and explain the supersymmetry such a sheaf inherits when the variety is Calabi-Yau. Relations to the two variable elliptic genus will also be discussed. The second talk will deal with various non-commutative generalisations of the above, arising in some of my work.
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