Higher Hida theory for Siegel modular varieties

Abstract: The goal of higher Hida theory is to study the ordinary part of coherent cohomology of Shimura varieties integrally. We introduce a higher coherent cohomological analog of Hida's space of ordinary p-adic modular forms, which is defined as the "ordinary part" of the coherent cohomology with "partial compact support" of the ordinary Igusa variety. Then we give an analog of Hida's classicality theorem in this setting. This is joint work with Vincent Pilloni.

number theory

Audience: researchers in the topic

London number theory seminar

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