Topology Seminar: Higher-dimensional Heegaard Floer homology and Hecke algebras

Monday, November 8, 2021 at 4:30pm to 5:30pm

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Kaprielian Hall (KAP), 245
3620 South Vermont Avenue, Los Angeles, CA 90089

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.

 

Event Type

Lecture / Talk / Workshop

Campus

University Park Campus

Department
Mathematics
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