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

Posted in
Speaker: 
Giordano Cotti
Affiliation: 
Birmingham University
Date: 
Tue, 2020-09-15 14:00 - 15:00

Online: https://bbb.mpim-bonn.mpg.de/b/gae-a7y-hhd

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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