School of Mathematics Colloquium

Mirror symmetry and Lagrangian Floer cohomology

by Prof. Christopher Woodward (Rutgers University, U.S.A.)

Thursday, January 17, 2019 from to (Asia/Kolkata)
at AG-69
Description
Abstract:  Mirror symmetry predicts a duality between 
complex and symplectic geometry.  In particular the conjecture
relates (in Kontsevich's version) sheaf cohomology of vector bundles with Floer theory of Lagrangian submanifolds.  I will discuss some of the ideas behind the conjecture, such as the definition of a Lagrangian submanifold, and some recent work on the mirror analog of deformation of vector bundles which, as suggested by Fukaya-Oh-Ono-Ohta, corresponds to smoothing singularities of the Lagrangians.