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Configuration spaces in collision free simultaneous motion planning problem

Grant number: 16/18714-8
Support Opportunities:Scholarships in Brazil - Doctorate
Start date: April 01, 2017
End date: February 28, 2022
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Denise de Mattos
Grantee:Cesar Augusto Ipanaque Zapata
Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated research grant:12/24454-8 - Algebraic, geometric and differential topology, AP.TEM
Associated scholarship(s):18/23678-6 - Configuration spaces in collision free simultaneous Motion Planning Problem, BE.EP.DR

Abstract

This project consists of the following important problems in the field of Geometry and Topology:(1) To study the collision free motion planning problem of some important mechanical spaces which appear in robotics. (2) To study the topological complexity of (some) mechanical spaces. (3) To study the variants of topological complexity and related problems. (4) To study the topological complexity of spherical spaces. (5) understanding of the structure of the cohomology ring of (some) configuration spaces.

News published in Agência FAPESP Newsletter about the scholarship:
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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)
IPANAQUE ZAPATA, CESAR A.. CATEGORY AND TOPOLOGICAL COMPLEXITY OF THE CONFIGURATION SPACE F(G x R-n, 2). BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, v. 100, n. 3, p. 507-517, . (16/18714-8)
SOUZA, T. O.; ZAPATA, C. A. I.. On the Topology of the Milnor Fibration. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 54, n. 1, p. 18-pg., . (16/18714-8, 18/23678-6, 22/03270-8)
Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
ZAPATA, Cesar Augusto Ipanaque. Configuration spaces in collision-free simultaneous motion planning problem. 2022. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.