On the mod p derived Hecke algebra of a p-adic group

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Abstract/Contents

Abstract
In this thesis we explore the structure of the derived Hecke algebra of a p-adic group, a graded associative algebra whose degree 0 subalgebra is the classical Hecke algebra. Working with Z/p^a coefficients, we will establish a Satake homomorphism relating the degree 1 component of this algebra, and the corresponding component for the algebra of a maximal torus. Generalizations and extensions of this construction are also discussed.

Description

Type of resource text
Form electronic; electronic resource; remote
Extent 1 online resource.
Publication date 2017
Issuance monographic
Language English

Creators/Contributors

Associated with Ronchetti, Niccolo
Associated with Stanford University, Department of Mathematics.
Primary advisor Venkatesh, Akshay, 1981-
Thesis advisor Venkatesh, Akshay, 1981-
Thesis advisor Bump, Daniel, 1952-
Thesis advisor Conrad, Brian
Advisor Bump, Daniel, 1952-
Advisor Conrad, Brian

Subjects

Genre Theses

Bibliographic information

Statement of responsibility Niccolo Ronchetti.
Note Submitted to the Department of Mathematics.
Thesis Thesis (Ph.D.)--Stanford University, 2017.
Location electronic resource

Access conditions

Copyright
© 2017 by Niccolo Ronchetti
License
This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).

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