Torsion in the cohomology of Hilbert modular varieties (with a view towards Iwasawa theory)

Abstract: Yiwen Zhou has given a new construction of Kato's zeta element in local Iwasawa cohomology based on local-global compatibility between completed cohomology of modular curves and the $p$-adic Langlands correspondence. After recalling this construction, we will discuss the proof of a vanishing theorem for cohomology of Hilbert modular varieties which plays a key role in extending the above local-global compatibility result. This is joint work in progress with Ana Caraiani.

algebraic geometrynumber theory

Audience: researchers in the topic

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Rendez-vous on special values and periods

Series comments: The main objective of this conference is to gather together young researchers interested in special values of L-functions and periods. These objects are at the crossroads of many recent important developments in arithmetic geometry, such as Euler systems or the theory of motives. The different talks will portray the variety of viewpoints with which L-functions and periods are studied at present.

Registration is free and mandatory, to get access to the livestream and recording of the talks.

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