Algebraic, geometric, and differential topology

• Grant number: 22/16455-6
• Support Opportunities: Research Projects - Thematic Grants
• Start date: June 01, 2024
• End date: May 31, 2029
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Daciberg Lima Gonçalves
• Grantee: Daciberg Lima Gonçalves
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Pesquisadores principais: Edivaldo Lopes dos Santos ; Luiz Roberto Hartmann Junior ; Pedro Luiz Queiroz Pergher
• Associated researchers: Alexandre Paiva Barreto ; Alice Kimie Miwa Libardi ; Bartira Maues ; Behrooz Mirzaii ; Carlos Alberto Maquera Apaza ; Carlos Biasi ; Cesar Augusto Ipanaque Zapata ; Cynthia de Oliveira Lage Ferreira ; Dahisy Valadão de Souza Lima ; Dalton Couto Silva ; Daniel Vendrúscolo ; Denise de Mattos ; João Peres Vieira ; Ketty Abaroa de Rezende ; Leandro Vicente Mauri ; Marco Antonio de Freitas Contessoto ; Mariana Rodrigues da Silveira ; Natalia Andrea Viana Bedoya ; Oziride Manzoli Neto ; Thaís Fernanda Mendes Monis ; Thais Maria Dalbelo ; Thiago de Melo ; Wagner Carvalho Sgobbi
• Associated research grant(s): 24/19199-6 - Braid groups of the projective plane and Configuration orbit spaces, AP.R SPRINT
• Associated scholarship(s): 24/18154-9 - Fixed point theory via Algebraic Topology and Nilmanifolds, BP.MS; 24/17530-7 - Classical Topology Theorems, BP.IC; 24/09236-1 - Combinatorial invariants on stratified spaces, BP.DR; 24/14023-7 - Introduction to Morse Theory, BP.IC; 24/14246-6 - On the Bárány-Larman conjecture, Tverberg's theorem and related topics, BP.PD

Abstract

This project is a continuation of the thematic projects 00/05385-8, 04/10229-6, 08/57607-6, 12/24454-8, 16/24707-4 and aims to develop research in Algebraic, Geometric and Differential Topology and Topological Data Analysis. The project consists in the training of human resources in the project's research lines, qualified scientific production and scientific visits both by foreign researchers as well as visits by Brazilian members abroad to institutions or outstanding researchers, congresses, seminars etc., providing conditions for a better performance and result for the development of the projects. (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, VINICIUS BARROS; VIEIRA, JOAO PERES; LEONEL, EDSON DENIS. Exploring Limit Cycles of Differential Equations through Information Geometry Unveils the Solution to Hilbert's 16th Problem. Entropy, v. 26, n. 9, p. 73-pg., 2024-09-01. (22/16455-6, 21/09519-5, 19/14038-6)

GONCALVES, DACIBERG LIMA; LAASS, VINICIUS CASTELUBER; SILVA, WESLEM LIBERATO. The Borsuk-Ulam property for homotopy classes on bundles, parametrized braids groups and applications for surfaces bundles. Topology and its Applications, v. 359, p. 25-pg., 2024-12-16. (22/16455-6, 16/24707-4)

DE REZENDE, KETTY A.; LIMA, DAHISY V. S.; ZIGART, MURILO A. DE JESUS. Gutierrez-Sotomayor flows: isolating blocks and homotopical cancellations. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 19, n. 1, p. 53-pg., 2025-06-01. (23/03430-8, 22/16455-6, 23/17645-6, 18/13481-0)

GONSALVES, D. L.; LIBARDI, A. K. M.; VENDRUSCOLO, D.; VIEIRA, J. P.. On minimal fixed points set of fiber preserving maps of S1-bundles over S1. Topology and its Applications, v. 359, p. 13-pg., 2024-12-16. (22/16455-6, 16/24707-4)