Topologia de conjuntos algébricos e semi-algébricos

• Grant number: 15/03367-8
• Support Opportunities: Scholarships abroad - Research
• Start date: September 01, 2015
• End date: August 23, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Raimundo Nonato Araújo dos Santos
• Grantee: Raimundo Nonato Araújo dos Santos
• Host Investigator: Selman Akbulut
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Michigan State University (MSU), United States

Abstract

Taking as starting point some works by J. Milnor, Lê D. Trang, H. Hamm, E. Looijenga, Alexandru Dimca and A. Jacquemard developed during '60, '70, '80 and '90, and more recents works by S. Akbulut ([AK]) and H. King ([HK]) on the topology of real algebraic sets, we intend to introduce a new viewpoint that allow us to find topological invariants associated to real singularities, aiming to do a topological description of such math-objects. (AU)