Abstract:
The goal of this talk will be to describe the relation between generators of Lagrangian Floer cohomology on a surface and functions on its mirror — both locally on building blocks such as cylinders, pairs of pants, and mirrors of pairs of pants, and globally on elliptic curves, higher genus surfaces, and their mirrors. The common theme throughout will be that Floer theory on cylindrical portions of a surface gives a geometric
interpretation of Laurent series expansions of analytic functions on the mirror. The less routine parts of the story build on Heather Lee’s thesis and on joint work with Alexander Efimov and Ludmil Katzarkov.
virtual (zoom): Virtual: http://berkeley.zoom.us/j/93328405860?pwd=Um1GbHBCSUJMdUlWWnd0ZVMxQmwwdz09