視聴に際しての注意事項
Notes on watching the video
このページに含まれる映像は自由に視聴することができますが、許可無くコピー・配布などの行為を禁止します。
No content from this web site may be copied or distributed without permission.
日時: 2024年6月21日(金) 15:30-16:30
Date: June 21, 2024 15:30-16:30
会場:東京大学大学院数理科学研究科 大講義室
Place: auditorium, Graduate School of Math. Sci. Bldg.
Mircea Mustaţă 氏（The University of Michigan）
Mircea Mustaţă (The University of Michigan)
The minimal exponent of hypersurface singularities (English)
The log canonical threshold of a hypersurface is an invariant of singularities that plays an important role in birational geometry, but which arises in many other contexts and admits different characterizations. A refinement of this invariant is Saito's minimal exponent, whose definition relies on the theory of b-functions, an important concept in D-module theory. The new information (by comparison with the log canonical threshold) provides a numerical measure of rational singularities. In this talk I will give an introduction to minimal exponents, highlighting recent progress and open questions.