NOTE THE NONSTANDARD TIME

Ko Honda, UCLA

Abstract: Given a closed oriented surface Σ of genus greater than zero, we construct an A_∞ map from the higher-dimensional Heegaard Floer homology of the cotangent fibers of T*Σ to the Hecke algebra associated to Σ and show that it is an isomorphism of algebras. For example, when Σ is the 2-torus, the surface Hecke algebra is a double affine Hecke algebra. This is joint work with Yin Tian and Tianyu Yuan.