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Patchworking construction in algebra, geometry, and singularity theory【学术预告】

发布日期:2016年10月12日

报告题目: Patchworking construction in algebra, geometry, and singularity theory

报告人: Prof. Eugenii Shustin: from School of Mathematical Sciences at the Tel Aviv University

报告时间: 10月14日周五下午2:00-3:00

报告地点: 北京理工大学中关村校区中教844

 
Prof. Eugenii Shustin 的介绍和报告的详细信息如下:

Introduction: Eugenii Shustin received the M.Sc. degree in mathematics from the Gorky State university, USSR, in 1979 and the PhD degree in mathematics from the Leningrad State University, USSR, in 1984 under hte supervision of Prof. D. A. Gudkov (PhD thesis title: "The Hilbert-Rohn method in the geometry of real algebraic curves"). From 1984 to 1987 he was a lecturer in the Department of Mathematics at the Gorky Civil Engineering Institute. From 1987 to 1992 he was an Assistant and then Associate professor in the Department of Algebra and Geometry at the Kujbyshev State University. Since 1992 he is with the School of Mathematical Sciences at the Tel Aviv University, currently as a position of Full Professor.


His research interests lie in real, complex, and tropical algebraic geometry, singularity theory, and they include also geometric aspects of dynamical systems and control theory. He has published two monographs and more than 90 research papers. He has been an invited speaker at the ICM-1990 in Kyoto. In 2002 he received a Bessel Research Award.
 

Abstract: The pathworking construction invented by O. Viro around 1980 appeared to be the most powerful technique in construction algebraic geometry objects with prescribed properties like real algebraic varieties with prescribed topology, algebraic curves with prescribed singularities, real polynomials with prescribed critical points etc. It, furthermore, serves as a key tool in building a correspondence between tropical and algebraic curves (which in turn is a basis for enumerative applications of tropical geometry). We illustrate these issues by several examples.


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