Motivic DT-type invariants and 3d mirror symmetry

Hiraku Nakajima (RIMS)

Abstract:
Cremonesi, Hanany and others recently compute Coulomb branch Hilbert series of 3-dimensional N=4 gauge theories, and write down explicit combinatorial expressions. I identify their expressions with certain motivic DT-type invariants. In particular, characters of coordinate rings of many hyper-Kaehler manifolds (such as instanton moduli spaces on R^4) are conjecturally equal to those invariants for the mirror dual theory.

Wednesday, Oct. 22, 4:30 – 5:30 p.m.
Mathematics 520
Tea will be served at 4:00 p.m.

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