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SUMMARY:Clara Aldana (Universidad del Norte)
DTSTART:20221028T150000Z
DTEND:20221028T161500Z
DTSTAMP:20260423T005737Z
UID:CIRGET/76
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/76/">
 Polyakov Formulas for conical singularities in two dimensions.</a>\nby Cla
 ra Aldana (Universidad del Norte) as part of CRM - Séminaire du CIRGET / 
 Géométrie et Topologie\n\nLecture held in PK-5115.\n\nAbstract\nIn the f
 irst part of the talk I will introduce the regularized determinant of the 
 Laplace operator on a Riemannian manifold and will explain the context and
  the motivation to consider Polyakov's formulas. Then\, I will present the
  formula for surfaces with conical singularities and smooth conformal fact
 ors\, and for polygonal domains in a Riemannian surface. I will mention ho
 w we obtain the so-called variational Polyakov formula for cones and secto
 rs and how in these cases we can obtain closed formulas for the determinan
 t of the Laplacian. The results presented in this talk are joint work with
  Klaus Kirsten and Julie Rowlett\, arxiv.org/abs/2010.02776.\n
LOCATION:https://researchseminars.org/talk/CIRGET/76/
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