Singularities and geometry of Webs

• Grant number: 14/17812-0
• Support Opportunities: Regular Research Grants
• Duration: February 01, 2015 - January 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Serguei Agafonov
• Grantee: Serguei Agafonov
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil

Abstract

This project proposes study of geometry and singularities of flat singular Webs, defined by 1) ODEs pf the 1st order, cubic in derivative, 2) Frobenius manifolds, 3) characteristics on the solutions of integrable PDEs. (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)

AGAFONOV, SERGEY I.. Note on generic singularities of planar flat 3-webs. MANUSCRIPTA MATHEMATICA, v. 154, n. 1-2, p. 185-193, SEP 2017. (14/17812-0)

AGAFONOV, S. I.; FERAPONTOV, E. V.; NOVIKOV, V. S.. Quasilinear systems with linearizable characteristic webs. Journal of Mathematical Physics, v. 58, n. 7, JUL 2017. (14/17812-0)

AGAFONOV, I, SERGEY. Gronwall's conjecture for 3-webs with infinitesimal symmetries. COMMUNICATIONS IN ANALYSIS AND GEOMETRY, v. 28, n. 3, p. 519-545, 2020. (14/17812-0)