On the geometry of the Chern classes for singular varieties-清华大学求真书院

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On the geometry of the Chern classes for singular varieties

来源： 04-11

时间：Fri., 16:00-17:00 April 12, 2024

地点：Zoom Meeting ID: 271 534 5558 Passcode: YMSC；The old School of Economics & Management Lecture Hall, Tsinghua University (Opposite Teaching Building No. 5) 清华大学旧经管报告厅（第五教室楼对面）

主讲人：José Antonio Seade Kuri President, Mexican Academy of Sciences

Speaker

José Antonio Seade Kuri

President, Mexican Academy of Sciences

“Mathematics are the heart of scientific thinking. Go there and enjoy yourself”

José Seade received his Ph.D. in Mathematics from the University of Oxford in 1980. He has held a research position at the Mathematics Institute of Universidad Nacional Autónoma de México (UNAM) since then. His main areas of research are dynamical systems and singularity theory, areas in which he is well-known worldwide. His honors include the Solomon Lefschetz Medal and two Ferran Sunyer I Ballaguer Prizes.

Professor Seade is a Member of the World Academy of Sciences and is currently President of the Mexican Academy of Sciences for the period 2023-2026.

Abstract

Chern classes of manifolds and vector bundles are fundamental invariants in geometry and topology, and these are much related to indices of vector fields (or sections). The analogous theory for singular varieties has been developed since the 1960s by various authors, and even so we can say that it is still in its childhood. In this talk we shall revise some aspects of this theory with focus on the geometry.

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Indices of vector fields and Chern classes for singular varieties
SpeakerJosé Seade obtained his BSc in mathematics from the National University of Mexico (UNAM) in 1976 and his Masters and PhD from the University of Oxford in 1977 and 1980, respectively. Since then, he has worked at the Institute of Mathematics, UNAM, where he has been director since April of 2014.His present research interests are on singularities theory and complex geometry and he has auth...
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YMSC Topology Seminar | Dickson Invariants and Chern Classes of the Conjugation Representations
Abstract：The theory of characteristic classes of the projective unitary group PU(n) is fundamental yet very mysterious as of today. We will review recent progresses on the study on this topic, and consider the Chern classes γi of the conjugation representation of the projective unitary group PU(p^l), where p is an odd prime. We show that the restriction of γi on a maximal elementary abelian ...
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书院学术

On the geometry of the Chern classes for singular varieties

Indices of vector fields and Chern classes for singular varieties

YMSC Topology Seminar | Dickson Invariants and Chern Classes of the Conjugation Representations

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