Speaker
Mohammed Abouzaid, Stanford University
Abstract
Subotic was the first to implement the construction of a Floer-theoretic mirror to the tensor product of coherent sheaves on algebraic varieties, via Lagrangian correspondences. His thesis was concerned with the case of the 2-torus, but it is clear that it can be implemented more generally for manifolds admitting smooth torus fibrations. In this lecture, I will discuss ongoing joint work with Nate Bottman as well as with Yunpeng Niu on extending this construction to the first cases in which non-trivial singularities can appear, including that of K3 surfaces. The construction has intriguing potential consequences for mirror symmetry.