A crash course on Hilbert modular forms, I
Title: A crash course on Hilbert modular forms, I.
Speaker: Iván Blanco Chacón (UCD)
Date: Monday, 14th September 2015
Time: 4pm – 5pm
Location: Agriculture. 1.01 (Seminar Room).
Abstract:
In these two talks, we introduce Hilbert modular varieties and Hilbert modular forms. We will study the complex, p-adic and adelic setting and the interpretation of Hilbert modular forms as sections of suitable line bundles over the Rapoport locus of the Hilbert modular variety. We put emphasis on the action of the Hecke algebra, and explain the depletion operators and the Hida projector. Time permitting, we will give an overview of Hida theory in this setting. The object of these two talks is to provide the audience with the setting of the third talk, which is recent work by the speaker and Ignacio Sols (Madrid).
Series: Algebra and Number Theory
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