Affine Flag Manifolds and Principal Bundles

  • Alexander Schmitt
Conference proceedings

Part of the Trends in Mathematics book series (TM)

Table of contents

About these proceedings


Affine flag manifolds are infinite dimensional versions of familiar objects such as Graßmann varieties. The book features lecture notes, survey articles, and research notes - based on workshops held in Berlin, Essen, and Madrid - explaining the significance of these and related objects (such as double affine Hecke algebras and affine Springer fibers) in representation theory (e.g., the theory of symmetric polynomials), arithmetic geometry (e.g., the fundamental lemma in the Langlands program), and algebraic geometry (e.g., affine flag manifolds as parameter spaces for principal bundles). Novel aspects of the theory of principal bundles on algebraic varieties are also studied in the book.


Dimension algebraic geometry algebraic varieties differential geometry flag manifold manifold moduli space

Editors and affiliations

  • Alexander Schmitt
    • 1
  1. 1.Institut für MathematikFreie Universität BerlinBerlinGermany

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