Categorical Kaehler geometry and geometric invariants

• Grant number: 18/14745-1
• Support Opportunities: Regular Research Grants
• Start date: November 01, 2018
• End date: January 31, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Agreement: University of Miami
• Mobility Program: SPRINT - Projetos de pesquisa - Mobilidade
• Principal Investigator: Lino Anderson da Silva Grama
• Grantee: Lino Anderson da Silva Grama
• Principal researcher abroad: Ludmil Katzarkov
• Institution abroad: University of Miami , United States
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• City of the host institution: Campinas
• Associated research grant: 16/22755-1 - Topics on geometry of homogeneous spaces, AP.R

Abstract

The goal of this proposal is to summarize the achieved interaction between Hodge theory and Homological Mirror symmetry and introduce new invariants coming from counting non-commutative curves in a given triangulated category. This invariants can be considered as a generalization of classical Gromov Witten invariants. (AU)