Quasimaps and BPS counts
PIRSA ID:
20100022
Series:
Mathematical Series
Event Type:
Seminar
Scientific Area(s):
Mathematical Physics
End date:
Speaker(s):
- Henry Liu, Columbia University
The theory of quasimaps to Nakajima quiver varieties X has recently been used very effectively by Aganagic, Okounkov and others to study symplectic duality. For certain X, namely Hilbert schemes of ADE surfaces, it turns out quasimap theory is equivalent to a particular flavor of Donaldson-Thomas theory on a related threefold Y. I will explain this equivalence and how it intertwines concepts and tools from the two sides. For example, symplectic duality has something to say about the crepant resolution conjecture for Y.