Affine geometry and Lagrangian-Legendrian singularities

• Grant number: 16/09249-0
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: July 16, 2016
• End date: July 29, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• 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
• Host 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)

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)

CRAIZER, MARCOS; DOMITRZ, WOJCIECH; RIOS, PEDRO DE M.. Singular improper affine spheres from agiven Lagrangian submanifold. ADVANCES IN MATHEMATICS, v. 374, p. 33-pg., 2020-11-18. (15/02029-1, 16/09249-0)