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DTSTART;TZID=America/New_York:20230209T133000
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SUMMARY:Quasinormal modes and Ruelle resonances: mathematician's perspective
DESCRIPTION:General Relativity Seminar \nSpeaker: Maciej Zworski\, UC Berkeley \nTitle: Quasinormal modes and Ruelle resonances: mathematician’s perspective \nAbstract: Quasinormal modes of gravitational waves and Ruelle resonances in hyperbolic classical dynamics share many general properties and can be considered “scattering resonances”: they appear in expansions of correlations\, as poles of Green functions and are associated to trapping of trajectories (and are both notoriously hard to observe in nature\, unlike\, say\, quantum resonances in chemistry or scattering poles in acoustical scattering). I will present a mathematical perspective that also includes zeros of the Riemann zeta function (scattering resonances for the Hamiltonian given by the Laplacian on the modular surface) and stresses the importance of different kinds of trapping phenomena\, resulting\, for instance\, in fractal counting laws for resonances.
URL:https://cmsa.fas.harvard.edu/event/gr_2023/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:General Relativity Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-GR-Seminar-02.09.23.png
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