Lagrangian submanifolds: open Gromov-Witten theory and Mirror Symmetry
Lie groupoids of symmetries and geometric structures on manifolds
| 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 |
| 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)
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