Lagrangian submanifolds: open Gromov-Witten theory and Mirror Symmetry
Singularities of differentiable mappings: theory and applications
Grant number: | 24/04171-9 |
Support Opportunities: | Research Grants - Young Investigators Grants |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
Principal Investigator: | Maria Jadwiga Michalska |
Grantee: | Maria Jadwiga Michalska |
Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Associated researchers: | André Luiz Araújo da Costa ; Aris Daniilidis ; Armin Rainer ; Cordian Riener ; Goulwen Fichou ; Krzysztof Kurdyka ; Maria Aparecida Soares Ruas ; Vincent Grandjean ; Zbigniew Jelonek |
Abstract
The field of Real Algebraic Geometry is undergoing another rapid expansion and transformation. The firm group of lines of research of this proposal, which span form tame geometry of manifolds with singularities, through definable Lipschitz geometry to the exploration of new concepts of arc-regularity (arc-analytic, arc-quasianalytic, arc-rational functions etc) to applications in optimization problems, are undertaken with Associate Researchers who are leading figures in the field based in Austria, Brasil, France, Norway and Poland. The goals set forth here lie at the heart of the current research, where I have already had gained some experience. The emphasis of this project is on effective methods and applications, and the research spills into adjacent areas such as Global Analysis, General Topology, sub-Rimannian Geometry, Variational Analysis, Optimization and others. There is therefore a great potential for international exposure of the research as well as national and intrainstitutional collaboration as well as introduction of young researchers and students to the rapidly growing field. (AU)
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