## String-Math Seminar: A Sheaf-Theoretic model for $SL(2,\mathbb C)$ Floer homology

Seminar | March 18 | 2-3 p.m. | 402 LeConte Hall

Mohammed Abouzaid, Columbia University

Department of Mathematics

I will describe joint work with Ciprian Manolescu on constructing an analogue of instanton Floer homology replacing the group $SU(2)$ by $SL(2,\mathbb C)$. Having failed to do so using the standard Floer theoretic tools of gauge theory and symplectic topology, we turned to sheaf theory to produce an invariant. After describing our approach, I will discuss some features of this theory that are expected to be visible from a Floer-theoretic point of view, but that we cannot currently access.

artamonov@berkeley.edu