Regularized determinant of Laplacian and isospectral sets in surfaces

• Grant number: 17/00739-7
• Support Opportunities: Scholarships in Brazil - Master
• Start date: April 01, 2017
• End date: February 28, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Luiz Roberto Hartmann Junior
• Grantee: Mateus da Silva Rodrigues Antas
• Host 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)