We show that any two birational projective Calabi-Yau manifolds
have isomorphic small quantum cohomology algebras after a certain
change of Novikov rings. The key tool used is a version of an
algebra called symplectic cohomology, which is...
At the November workshop, I described a new algorithm to cover
compact, congruence locally symmetric spaces by balls. I’ll discuss
how to compute the nerve of such a covering and Hecke actions on
its cohomology. Joint work with Aurel Page.At the...
For given a Lagrangian in a symplectic manifold, one can
consider deformation of A-infinity algebra structures on its Floer
complex by degree 1 elements satisfying the Maurer-Cartan equation.
The space of such degree 1 elements can be thought of as...