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K-Theory and Representation Theory

K-Theory and Representation Theory

K-Theory and Representation Theory

Roger Plymen, University of Manchester
Mehmet Haluk Şengün, University of Sheffield
No date available
Paperback
9781009201506
Paperback

    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.

    • Includes a self-contained account of the representation theory of p-adic groups, from the very basics to an advanced perspective, illustrated with numerous examples
    • Provides a high-quality exposition of the interplay between Dirac operators, representation theory and K-theory
    • Features a friendly exposition of C
    • -algebras associated to groups, C
    • -correspondences and K-theory with examples of how they relate to representation theory of groups

    Product details

    No date available
    Paperback
    9781009201506
    224 pages
    228 × 153 × 12 mm
    0.33kg

    Table of Contents

    • 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.
      Contributors
    • Bram Mesland, Mehmet Haluk Şengün, Peter Hochs, Hang Wang, Anne-Marie Aubert

    • Editors
    • Roger Plymen , University of Manchester

      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 , University of Sheffield

      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.