Seminario del 2019

Ottobre
29
2019
Mattia Cavicchi
Weight filtration in the cohomology of Shimura varieties
algebra e geometria
Shimura varieties are algebraic varieties which are initially constructed, as complex analytic objects, as locally symmetric varieties with respect to a well-chosen semisimple algebraic group G. The first aim of the talk is to introduce these objects and to motivate the interest of the structures appearing in their cohomology. In a second part, we will explain some results which describe how the representation theory of the underlying group G controls the Hodge-theoretic weight filtration in the cohomology of Shimura varieties.
organizzato da: Luca Moci e Giovanni Mongardi

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