Topology and geometry of singular spaces and applications

• Grant number: 17/09620-2
• Support Opportunities: Regular Research Grants
• Start date: August 01, 2017
• End date: July 31, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Nivaldo de Góes Grulha Júnior
• Grantee: Nivaldo de Góes Grulha Júnior
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This project aims to develop research in singularity theory, addressing issues associated with the topological and geometric study of singular spaces. More specifically, the project is divided into 3 subprojects that deal with subjects such as characteristic classes, Euler obstruction and generalizations, Milnor fibration theorems and bi-Lipschitz geometry. (AU)

Scientific publications

(4)

(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)

DA SILVA, THIAGO F.; GRULHA, JR., NIVALDO G.; PEREIRA, MIRIAM S.. The Bi-Lipschitz Equisingularity of Essentially Isolated Determinantal Singularities. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 49, n. 3, p. 637-645, SEP 2018. (13/22411-2, 17/09620-2)

DUTERTRE, NICOLAS; GRULHA, NIVALDO G., JR.. Global Euler obstruction, global Brasselet numbers and critical points. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, v. 150, n. 5, p. 32-pg., 2020-10-01. (17/09620-2)

GAFFNEY, TERENCE; GRULHA, JR., NIVALDO G.; RUAS, MARIA A. S.. The local Euler obstruction and topology of the stabilization of associated determinantal varieties. MATHEMATISCHE ZEITSCHRIFT, v. 291, n. 3-4, p. 905-930, APR 2019. (14/00304-2, 17/09620-2, 15/16746-7)

GRULHA JR, N. G.; MARTINS, R. S.. Results on Milnor Fibrations for Mixed Polynomials with Non-isolated Singularities. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 52, n. 2, MAR 2020. (17/09620-2, 13/22718-0, 15/19721-5)