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Olivia Dumitrescu, Central Michigan University – Job Talk

February 25, 2020 @ 4:00 pm - 5:00 pm

Title: From quantization to holomorphic Lagrangian geometry

Abstract: ​Sir George Biddel Airy discovered the rainbow integral and explained the classical analysis of rainbows. 150 years later, Kontsevich found that the same formula determined the ​

multiplication table of cohomology classes on the compactified moduli spaces of Riemann surfaces. These stories are a simple example of a mathematical theory of “quantum curves.”​ I will present a general framework of quantum curves and I will relate it to a conjecture of Davide Gaiotto (2014) in physics regarding “conformal limits”.​ The oper case of this conjecture is due to Fredrickson, Kydonakis, Mazzeo, Mulase, Neitzke and myself and was generalized by Collier and Wentworth.​

​I will present an algebraic geometry description of the Lagrangian correspondence of Gaiotto, based on the work of Simpson.​ This talk is based on joint work with Motohico Mulase.​


February 25, 2020
4:00 pm - 5:00 pm
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