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Seminários do IMPA

Variedades de Calabi-Yau

What is a Hecke operator?
Oliver Lorscheid & Hossein Movasati

Terça-feira, 3 de abril de 2018, 15:30
Sala 224

In 1937 Hecke introduced operators acting in the space of modular forms, and nowadays, they are indispensable part of modern number theory. In this talk (with two speakers) we are going to discuss what are Hecke operators and Hecke algebras and give some applications, ranging from multiplicativity of Ramanujan tau function to arithmetic modularity theorem. In a second part, we will explain the reinterpretation of Hecke operators in the adelic language as used in the theory of automorphic forms. This, in turn, leads to the interpretation in terms of vector bundles as prominent in the geometric Langlands programme.