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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Nearly Coleman theory for Siegel modular forms




Date(s) : 21/11/2023   iCal
14h00 - 15h00

In the study of special values of L-functions and p-adic L-functions, it is often necessary to have a good theory of p-adic families of nearly holomorphic automorphic forms (nearly overconvergent forms) and the p-adic iteration of Maass–Shimura differential operators. There are several candidates for this theory in the literature, however there is usually a restriction, e.g., on the slopes of the nearly overconvergent forms or the p-adic variation of the differential operators. In this talk, I will discuss a new construction of this theory in the Siegel case which doesn’t come with the aforementioned restrictions. The construction should also generalise to other reductive groups which give rise to Shimura varieties. Joint work with Vincent Pilloni and Joaquin Rodrigues Jacinto.

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