Relative trace of the heat kernel in surfaces with asymptotically cusps ends and applications

• Grant number: 15/01923-0
• Support Opportunities: Scholarships abroad - Research
• Start date: August 01, 2015
• End date: July 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Luiz Roberto Hartmann Junior
• Grantee: Luiz Roberto Hartmann Junior
• Host Investigator: Matthias Lesch
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Institution abroad: Universität Bonn, Germany
• Associated research grant: 12/24454-8 - Algebraic, geometric and differential topology, AP.TEM

Abstract

We propose the study of surfaces with asymptotically cusps ends with the aim to present the full asymptotic expansion of the heat kernel trace and to present uniformization results following the works of B. Osgood, R. Philips and P. Sarnak.