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Weekly Talk: Hiraku Nakajima, “AGT Conjecture”

Hiraku Nakajima, RIMS Kyoto University

Title: AGT Conjecture
Speaker: Hiraku Nakajima, RIMS Kyoto University
Date: Tuesday, October 23, 2012
Time: 1:00pm – 2:00pm
Place: Lecture Hall 102, Simons Center




Abstract: More than 10 years ago, I constructed representations of Heisenberg algebras and affine algebras on the homology groups of instanton moduli spaces on certain 4-manifolds. The proof was mathematically rigorous, but was not conceptually satisfactory.  About two years ago, physicists, Alday-Gaiotto-Tachikawa (AGT) proposed a much larger framework, which is conceptually satisfactory, but lacks mathematical footing. I will explain their theory, and a mathematical approach towards a conjecture.

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