The University of Arizona

Moore-Tachikawa 2d TQFTs whose values are holomorphic symplectic varieties

Moore-Tachikawa 2d TQFTs whose values are holomorphic symplectic varieties

Series: Mathematics Colloquium
Location: Math 501
Presenter: Hiraku Nakajima, Kavli IPMU

 Moore-Tachikawa asked what are the Higgs branches of 4d N=2
class S theories associated with Riemann surfaces with punctures as
holomorphic symplectic varieties. They are supposed to satisfy analog
of gluing rules of 2d TQFT, where the composition of homomorphisms is
replaced by hamiltonian reduction. I will explain this conjecture,
which is mathematically well-formulated, and its proof by my joint work
with Braverman and Finkelberg.

Refreshments in Math Commons Room at 3:30pm

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