Denis Auroux

University of California, Berkeley; Member, School of Mathematics

March 29, 2017

Homological mirror symmetry postulates a derived equivalence between the wrapped Fukaya category of an exact symplectic manifold and a category of coherent sheaves or matrix factorizations on a mirror space. This talk will provide an introduction to the relevant concepts and illustrate the statement on one simple example: the pair of pants. We will describe explicitly the wrapped Fukaya category of the pair of pants, and relate it to algebraic geometry on the mirror. (This is based on joint work with Abouzaid, Efimov, Katzarkov and Orlov).