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Summer Graduate School

Structure and representation theory of reductive p-adic groups (St. Mary's College) July 29, 2024 - August 09, 2024
Parent Program: --
Location: St. Mary's College
Organizers LEAD Jessica Fintzen (Universität Bonn), LEAD Tasho Kaletha (University of Michigan)

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The summer school is an introduction to the representation theory and harmonic analysis of reductive p-adic groups and will feature several lecture series covering the structure of reductive p-adic groups, the classification of their representations, key results from harmonic analysis, an introduction to the local Langlands conjectures, as well as connections to automorphic forms, real reductive groups, and finite groups of Lie type. Active engagement of the student through problem and Q&A sessions will be an important component. The goal is to equip students with knowledge that would help them to perform research in this area or apply these tools in nearby areas.

School Structure

There will be three one-hour lectures per day, plus multiple Q&A and problem sessions each day. 


• Local fields: Serre, Local fields, Chapters I,II,IV,VII.
• Algebraic groups: Borel, Chapters 3,4. A more modern reference can be found in Brian Conrad's lecture notes on his website.

Helpful additional reading

• Representation theory of finite groups: Serre, Linear representations of finite groups, Part I.
• Category theory: Mac Lane, Categories for the Working Mathematician, Chapter I.1-I.5, II.1-II.4, III.1-III.4, IV.1-IV.4.

Application Procedure

For eligibility and how to apply, see the Summer Graduate Schools homepage.


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