The Zariski's approach for resolution of singularities

• Grant number: 16/19436-1
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: March 03, 2017
• End date: March 17, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Daniel Levcovitz
• Grantee: Daniel Levcovitz
• Visiting researcher: Mark Spivakovsky
• Visiting researcher institution: Université Paul Sabatier - Toulouse III, France
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 14/00304-2 - Singularities of differentiable mappings: theory and applications, AP.TEM

Abstract

The main goal of this academic visit is to study applications of the Zariski's approach to resolution of singularities of an algebraic variety to different types of singularities. The visiting researcher has recognized experience in both algebra and theory of singularities. In particular, his contribution to the local uniformization problem has been useful to understand singularities from the topological, algebraic and geometric points of views. Moreover, we believe that this visit will help to strengthen the interaction between the algebra and singularity theory groups of research at ICMC-USP. (AU)