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].[Ari10] D. Arinkin, Rigid irregular connections on P1, Compos. Math. 146 (2010)[EG23] H. Esnault and M. Groechenig, Cristallinity of rigid flat connections revisited, arXiv:2309.15949v2 (2023).