Abstract: Given a variation of GIT quotients X/G with a potential W, physicists have found a function on the K-theory of the associated derived categories, called the hemisphere partition function, which conjecturally defines a Bridgeland stability condition. This hemisphere partition function satisfies a differential equation which in the special case of the quintic threefold reduces to the hypergeometric differential equation. The analytic continuation of its solutions to the singular point is conjecturally related to the L-series of the quantic at the conifold point determined by Schoen.
Hemisphere partition function, hypergeometric functions and their analytic continuation
02.09.2016 14:00 - 15:00
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