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11-05【Giordano Cotti】Zoom会议 吴文俊数学重点实验室数学物理系列报告之2020-13

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

报告人:Giordano Cotti ,University of Birmingham/Max-Planck Institute for Mathematics

时间:2020年11月5日(星期四)15:00-16:30

Zoom: 602 061 5960, password: 314159

摘要: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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