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SUMMARY:Viktor Kalvin (Dawson College and Concordia Univ.)
DTSTART:20221118T160000Z
DTEND:20221118T171500Z
DTSTAMP:20260423T022737Z
UID:CIRGET/79
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/79/">
 Determinants of Laplacians on compact surfaces with conical singularities<
 /a>\nby Viktor Kalvin (Dawson College and Concordia Univ.) as part of CRM 
 - Séminaire du CIRGET / Géométrie et Topologie\n\nLecture held in PK-51
 15.\n\nAbstract\nIn this talk I will discuss new anomaly formulae for the 
 zeta regularized spectral determinants of Laplacians on compact Riemann su
 rfaces. These formulae are valid for the metrics with conical singularitie
 s and\, in particular\, show how the determinants of Laplacians depend on 
 the orders (angles) of conical singularities. With a simple  example I wil
 l show that the extremal properties of the determinants of Laplacians on s
 ingular metrics are very different from the classical results of Osgood\, 
 Phillips\, and Sarnak for the smooth metrics. If time permits\, I will als
 o discuss how this is related to Kaehler potentials of metrics on moduli s
 paces\, the famous accessory parameters\, and the celebrated DOZZ formula 
 from the Liouville conformal field theory. The talk is based on a series o
 f recent papers of mine.\n
LOCATION:https://researchseminars.org/talk/CIRGET/79/
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