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SCGP Weekly Talk: Hiraku Nakajima, RIMS, Kyoto University

Title: Motivic DT-type invariants and 3d mirror symmetry
Speaker: Hiraku Nakajima, RIMS, Kyoto University
Date: Tuesday, October 28, 2014
Time: 01:00pm – 02:00pm
Place: Lecture Hall 102, Simons Center

 

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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.