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Colloquium
Seminar information archive ～11/30｜Next seminar｜Future seminars 12/01～
| Organizer(s) | AIDA Shigeki, OSHIMA Yoshiki, SHIHO Atsushi (chair), TAKADA Ryo |
|---|---|
| URL | https://www.ms.u-tokyo.ac.jp/seminar/colloquium_e/index_e.html |
Next seminar
2025/12/26
15:30-16:30 Room #NISSAY Lecture Hall (大講義室) (Graduate School of Math. Sci. Bldg.)
Tatsuro Kawakami (Graduate School of Mathematical Sciences, The University of Tokyo)
Singularities and differential forms in positive characteristic (日本語)
Tatsuro Kawakami (Graduate School of Mathematical Sciences, The University of Tokyo)
Singularities and differential forms in positive characteristic (日本語)
[ Abstract ]
In this talk, I will focus on the local aspects of differential forms on algebraic varieties. I begin by reviewing prior results in characteristic zero concerning the extension problem, which asks whether reflexive differential forms can be lifted to birational models such as resolutions of singularities. I will then introduce a new approach to the extension problem in positive characteristic using the Cartier operator. If time permits, I will also discuss a new class of singularities in positive characteristic, defined via the Cartier operator.
In this talk, I will focus on the local aspects of differential forms on algebraic varieties. I begin by reviewing prior results in characteristic zero concerning the extension problem, which asks whether reflexive differential forms can be lifted to birational models such as resolutions of singularities. I will then introduce a new approach to the extension problem in positive characteristic using the Cartier operator. If time permits, I will also discuss a new class of singularities in positive characteristic, defined via the Cartier operator.
