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Online: Borel-Laplace multi-transform, and integral representations of solutions of qDEs

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Giordano Cotti
Birmingham University
Tue, 2020-09-15 14:00 - 15:00


The quantum differential equation (qDE) is a rich object attached to a smooth projective variety X. It is an ordinary differential equation in the complex domain which encodes information of the enumerative geometry of X, more precisely its Gromov-Witten theory. Furthermore, the monodromy of its solutions conjecturally rules also the topology and complex geometry of X. In this talk I will introduce some analytic integral multitransforms of Borel-Laplace type, and I will use them to obtain Mellin-Barnes integral representations of solutions of qDEs. Based on arXiv:2005.08262.

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