ICTS:30718

Video URL

Arithmetic Quantum Chaos (Infosys Science Foundation Lecture)

Arithmetic Quantum Chaos (Infosys Science Foundation Lecture)

(2025). Arithmetic Quantum Chaos (Infosys Science Foundation Lecture). SciVideos. https://youtu.be/rFhQLrrQhQc

Arithmetic Quantum Chaos (Infosys Science Foundation Lecture). SciVideos, Jan. 13, 2025, https://youtu.be/rFhQLrrQhQc 

          @misc{ scivideos_ICTS:30718,
            doi = {},
            url = {https://youtu.be/rFhQLrrQhQc},
            author = {},
            keywords = {},
            language = {en},
            title = {Arithmetic Quantum Chaos (Infosys Science Foundation Lecture)},
            publisher = {},
            year = {2025},
            month = {jan},
            note = {ICTS:30718 see, \url{https://scivideos.org/icts-tifr/30718}}
          }
Peter Sarnak
Talk numberICTS:30718
Source RepositoryICTS-TIFR
Collection

Abstract

Understanding the semiclassical limit of the quantization of even the simplest classically chaotic Hamiltonian, proved to be problematic from the inception of quantum mechanics 100 years ago. Arithmetically defined such systems provide instances for which this limit can be analyzed mathematically using central tools from number theory and homogeneous dynamics.As such these can be thought of as "solvable models ". We review some of the many developments for these quantizations.