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Essays on representations and automorphic forms by Bill Casselman

These are a series of relatively short and self-contained essays.

p-adic groups

    Notes on the tree of SL(2) and its applications in analysis:
    • Geometry of the tree

      Started out as informal notes to accompany a talk on the Fundamental Lemma for SL(2) at TIFR, February 2009.

  • Notes on spherical functions

    Written to accompany a reprinting of Ian Macdonald's book on spherical functions on a p-adic group, originally published in Madras and difficult to locate. The book will indeed be reprinted in the series of lecture notes in mathematics, but with no contribution from me.

  • Local quadratic reciprocity
  • The structure of GL(N)

Real groups

Automorphic forms

Root systems

Coxeter groups

Real analysis

Topological vector spaces and linear operators


Quadratic forms