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3620 South Vermont Avenue, Los Angeles, CA 90089

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Ivan Danilenko, UC Berkeley

Abstract: Mirror symmetry predicts equivalence between Fukaya categories of Coulomb branches (A-side) and derived categories of coherent sheaves of Coulomb branches (B-side). In the talk, I will focus on how this relation works in the decategorified setting. It will explicitly show how to identify a cohomology space associated with the A-side with the equivariant K-theory on the B-side. Based on joint work with A. Smirnov, and with M. Aganagic, Y. Li, V. Shende, P.Zhou.

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