PIRSA:18080056

Video URL

https://pirsa.org/18080056

The Duistermaat–Heckman distribution for the based loop group

Jeffrey, L. (2018). The Duistermaat–Heckman distribution for the based loop group . Perimeter Institute for Theoretical Physics. https://pirsa.org/18080056

Jeffrey, Lisa. The Duistermaat–Heckman distribution for the based loop group . Perimeter Institute for Theoretical Physics, Aug. 14, 2018, https://pirsa.org/18080056 

          @misc{ scivideos_PIRSA:18080056,
            doi = {10.48660/18080056},
            url = {https://pirsa.org/18080056},
            author = {Jeffrey, Lisa},
            keywords = {Mathematical physics},
            language = {en},
            title = { The Duistermaat{\textendash}Heckman distribution for the based loop group },
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2018},
            month = {aug},
            note = {PIRSA:18080056 see, \url{https://scivideos.org/pirsa/18080056}}
          }

Lisa Jeffrey University of Toronto

Talk numberPIRSA:18080056
DOI10.48660/18080056
Source RepositoryPIRSA
Collection
Talk Type Conference
Subject

Abstract

The based loop group is an infinite-dimensional manifold equipped with a Hamiltonian action of a finite dimensional torus. This was studied by Atiyah and Pressley. We investigate the Duistermaat–Heckman distribution using the theory of hyperfunctions. In applications involving Hamiltonian actions on infinite-dimensional manifolds, this theory is necessary to accommodate the existence of the infinite order differential operators which aries from the isotropy representation on the tangent spaces to fixed points. (Joint work with James Mracek)