Coloquio información

Coloquio Especial

On the functional equation of automorphic L-functions

Ponente:  Ngô Bảo Châu (University of Chicago)
Fecha:  viernes 29 de abril de 2022 - 12:00
Lugar:  Aula Naranja, ICMAT
Online:  youtu.be/is-aCE3ZwNw

Resumen:

Automorphic L-functions introduced by Langlands in the late 1960s are expected to satisfy a functional equation similar to the functional equation of Riemann's zeta function. The functional equation would follow from the Langlands' functoriality conjecture which is one of the far-reaching goals of the Langlands program. Around 2000, Braverman and Kazhdan formulated a new approach to the functional equation not following the route of functoriality but attempting to generalize Fourier analysis on adeles used by Tate to prove the functional equation of the Riemann zeta function. I will report on some recent progress in this approach. 

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