PIRSA:22090076 Scientific Series Quantum Fields and Strings

DOI10.48660/22090076

Series: Quantum Fields and Strings

Choi, C. (2022). Trace formulas from Supersymmetric localizations. Perimeter Institute. https://pirsa.org/22090076

Choi, Changha. Trace formulas from Supersymmetric localizations. Perimeter Institute, Sep. 13, 2022, https://pirsa.org/22090076 

@misc{ pirsa_PIRSA:22090076,
  doi = {10.48660/22090076},
  url = {https://pirsa.org/22090076},
  author = {Choi, Changha},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Trace formulas from Supersymmetric localizations},
  publisher = {Perimeter Institute},
  year = {2022},
  month = {sep},
  note = {PIRSA:22090076 see, \url{https://pirsa.org}}
}

Abstract

We present a new class of supersymmetric localization principles in the context of supersymmetric quantum mechanics. Contrary to the standard localization, this new principle deals with non-supersymmetric observables. We apply this to provide a path integral understanding of trace formulas in mathematics. Our examples will contain both integrable and chaotic quantum systems, namely trace formulas on compact Lie groups by Eskin, and generic locally symmetric space by Selberg. 

Zoom Link:  https://pitp.zoom.us/j/99332291865?pwd=c0kyUUlWN1AxeXpvNmRkNHRSRXNXdz09

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