On The Langlands Program Endoscopy And Beyond


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On The Langlands Program: Endoscopy And Beyond


On The Langlands Program: Endoscopy And Beyond

Author: Wee Teck Gan

language: en

Publisher: World Scientific

Release Date: 2024-04-15


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This is a collection of lecture notes from the minicourses in the December 2018 Langlands Workshop: Endoscopy and Beyond. The volume combines seven introductory chapters on trace formulas, local Arthur packets, and beyond endoscopy. It aims to introduce the endoscopy classification via a basic example of the trace formula for SL(2), explore the more refined questions on the structure of Arthur packets, and look beyond endoscopy following the suggestions of Langlands, Braverman-Kazhdan, Ngo, and Altuğ. The book is a helpful reference for undergraduates, postgraduates, and researchers.

An Introduction to the Langlands Program


An Introduction to the Langlands Program

Author: Joseph Bernstein

language: en

Publisher: Springer Science & Business Media

Release Date: 2013-12-11


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For the past several decades the theory of automorphic forms has become a major focal point of development in number theory and algebraic geometry, with applications in many diverse areas, including combinatorics and mathematical physics. The twelve chapters of this monograph present a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics. Covered are a variety of areas in number theory from the classical zeta function up to the Langlands program. The exposition is sytematic, with each chapter focusing on a particular topic devoted to special cases of the program, and accessible to graduate students and researchers in the field.

Harmonic Analysis and Gamma Functions on Symplectic Groups


Harmonic Analysis and Gamma Functions on Symplectic Groups

Author: Dihua Jiang

language: en

Publisher: American Mathematical Society

Release Date: 2024-04-17


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