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Regularized determinant of Laplacian and isospectral sets in surfaces

Grant number: 17/00739-7
Support type:Scholarships in Brazil - Master
Effective date (Start): April 01, 2017
Effective date (End): February 28, 2019
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Cooperation agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
Principal Investigator:Luiz Roberto Hartmann Junior
Grantee:Mateus da Silva Rodrigues Antas
Home Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
Associated research grant:12/24454-8 - Algebraic, geometric and differential topology, AP.TEM

Abstract

We propose to study the extremals of regularized determinants of Laplacian and the isospectral sets in surfaces. We will follow the works of B. Osgood, R. Philips e P. Sarnak. (AU)