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ODE = PDE follows from the Langlands duality = mirror symmetry
Algebraic Geometry and Number Theory| Speaker: | Motohico Mulase, UC Davis |
| Related Webpage: | https://www.math.ucdavis.edu/~mulase/ |
| Location: | 2112 MSB |
| Start time: | Thu, Oct 8 2026, 11:10AM |
Description
In this talk I will explain how the scaling limit of the non-Abelian Hodge Correspondence paves a unique path from the moduli of G'-connections on a smooth projective curve X to D-modules on the moduli of G-principal bundles on X with a prescribed characteristic variety. The functoriality of this correspondence requires the Langlands duality between the algebraic groups G and G', which exhibits the duality of Abelian varieties, a.k.a. mirror symmetry. The talk is based on my work during the summer, relating the Gaiotto conformal limit and the Geometric Langlands.