Abstract:We study rigid connections in the Spring of 2024.The main goal of this seminar is to study various results around rigid connections: existence of a Frobenius structure on a rigid connection due to Esnault–Groechenig [EG23], application to Simpson's integral conjecture, and the Fourier transform algorithm for rigid connections on the projective line due to Katz and Arinkin [Ari10].[Ari...
Abstract：We prove two main theorems about equivariant minimal surfaces in an arbitrary nonpositively curved symmetric spaces extending classical results on minimal surfaces in Euclidean space. First, we show that a complete equivariant branched immersed minimal surface in a nonpositively curved symmetric space of finite total curvature must be of finite Morse index. It is a generalization of t...
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