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Irregular connections and quivers in the Sato Grassmannian

Algebra & Discrete Mathematics

Speaker: Martin Luu, UC Davis
Location: 2112 Math
Start time: Mon, Feb 27 2017, 4:10PM

I will introduce the notion of a quiver in the Sato Grassmannian and discuss the association of certain meromorphic connections on the punctured disc to such objects. In interesting cases there are flows of integrable systems along which one can deform the quivers as well as connections. I will explain some results related to this phenomenon that are related to dualities of quantum field theories.