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
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. |