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Affine geometry and Lagrangian-Legendrian singularities

Grant number: 16/09249-0
Support type:Research Grants - Visiting Researcher Grant - International
Duration: July 16, 2016 - July 29, 2016
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Pedro Paulo de Magalhaes Rios
Grantee:Pedro Paulo de Magalhaes Rios
Visiting researcher: Wojciech Domitrz
Visiting researcher institution: Warsaw University of Technology (WUT), Poland
Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

Given a Lagrangian submanifold L of the standard symplectic space, one can define uniquely a center-chord and a special improper affine spheres whose Lagrangian singularity set contains L. We shall classify the simple stable Lagrangian and Legendrian singularities that appear in this context. (AU)