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Loops, Toeplitz operators and representations

Recent developments in microlocal analysis October 14, 2019 - October 18, 2019

October 14, 2019 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Richard Melrose (Massachusetts Institute of Technology)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • Dirac-Ramond

  • Toeplitz

  • loop spaces

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
Video
Abstract

One step in the definition of Dirac-Ramond operators on the loop space of a manifold is structure of smooth projective representations of loop groups. The resulting Fr ́echet spaces and central extension can be analyzed in terms of Toeplitz operators on the circle.

Supplements
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