Level-Rank Duality and localization.

• Grant number: 13/17654-3
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: February 01, 2014
• End date: July 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Luiz Antonio Barrera San Martin
• Grantee: Rollo Crozier John Jenkins
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

This project aims to prove a geometric version of the level-rank duality, as well as to study some consequences of this conjectures to the theme of localizations and quantizations. The candidate proved some instances of the algebraic version of the conjecture in his PhD thesis. We will endeavor to adapt his proof to the geometric case and to explore its consequences.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

CALLANDER, BRIAN; GASPARIM, ELIZABETH; JENKINS, ROLLO; SILVA, LINO MARCOS. SELF-DUALITY FOR LANDAU-GINZBURG MODELS. JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS, v. 35, p. 10-pg., 2014-01-01. (13/17654-3, 12/10179-5)