**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.