M.I.T. Algebraic Geometry Seminar - Lev Borisov
Friday May 14, 4:00pm-5:30pm
Room 2-255
Vertex Algebras and Mirror Symmetry
Chiral de Rham complex of a smooth variety X is a sheaf of vertex
algebras on it, which was constructed last year by Malikov, Schechtman
and Vaintrob. Its cohomology is a vertex algebra, which could be equipped
with two different structures of topological algebra when the variety is
Calabi-Yau. It turns out that for mirror hypersurfaces in toric varieties
A model on one of them and B model on the other are degenerations (in two
different directions) of a certain explicit family of topological vertex
algebras. It is hoped that this construction eventually provides complete
understanding of mirror involution in the toric case.
(The first half of the talk will be a short introduction to vertex
algebras. In between halves, there will be a short break.)
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