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Hypergeometric and q-hypergeometric solutions of quantum differential equations

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Alexander Varchenko
University of North Carolina at Chapel Hill/MPIM
Tue, 2018-06-26 14:00 - 15:00
MPIM Lecture Hall

The hypergeometric and q-hypergeometric solutions of the equivariant quantum differential equations and associated qKZ difference equations for the cotangent bundle $T^*F_\lambda$ of a partial flag variety will be discussed.  The leading term of the asymptotics of the q-hypergeometric solutions will be expressed in terms of the equivariant gamma class of $T^*F_\lambda$. That statement is analogous to the statement of the gamma conjecture for Fano varieties by Galkin, Golyshev, and Iritani.

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