K-Theory and Representation Theory

Häftad, Engelska, 2024

Del 494 i serien London Mathematical Society Lecture Note Series

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Beskrivning

Symmetry is one of the most important concepts in mathematics and physics. Emerging from the 2021 LMS-Bath Summer School, this book provides Ph.D. students and young researchers with some of the essential tools for the advanced study of symmetry. Illustrated with numerous examples, it explores some of the most exciting interactions between Dirac operators, K-theory and representation theory of real reductive groups. The final chapter provides a self-contained account of the representation theory of p-adic groups, from the very basics to an advanced perspective, with many arithmetic aspects.

Produktinformation

Utgivningsdatum:2024-11-28
Mått:153 x 228 x 12 mm
Vikt:330 g
Format:Häftad
Språk:Engelska
Serie:London Mathematical Society Lecture Note Series
Antal sidor:224
Förlag:Cambridge University Press
ISBN:9781009201506

Utforska kategorier

Talteori inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik

Mer om författaren

Roger Plymen is Emeritus Professor at Manchester University and Visiting Professor at Southampton University. He recently published 'The Great Prime Number Race' (2020). His paper from 1983, “The Dirac Operator and the Principal Series for Complex Semisimple Lie Groups,” co-authored by Michael G. Penington, was a springboard for several of the developments in this book. Mehmet Haluk Şengün is Senior Lecturer at University of Sheffield. Originally from Istanbul, Dr. Şengün's mathematical trajectory took him to Madison, Essen, Barcelona, Bonn, Warwick and finally Sheffield. An algebraic number theorist by training, Dr. Şengün's recent research has focused on bringing tools and ideas from C*-algebras and Noncommutative Geometry to the theory of automorphic forms and the Langlands Programme.

Innehållsförteckning

List of contributors; Preface; 1. Group C*-algebras, C*-correspondences and K-Theory Bram Mesland and Mehmet Haluk Şengün; 2. Tempered representations of semisimple Lie groups Peter Hochs; 3. Dirac operators and representation theory Hang Wang; 4. Representation theory of p-adic reductive groups Anne-Marie Aubert; Index.