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The Zariski's approach for resolution of singularities

Grant number: 16/19436-1
Support type:Research Grants - Visiting Researcher Grant - International
Duration: March 03, 2017 - March 17, 2017
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Daniel Levcovitz
Grantee:Daniel Levcovitz
Visiting researcher: Mark Spivakovsky
Visiting researcher institution: Université Paul Sabatier - Toulouse III, France
Home 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)