Introductory lectures on the Weil conjectures
권재성
27동 325호
0
1906
2025.12.10 16:28
| 구분 | 정수론 |
|---|---|
| 일정 | 2025-12-16(화) 10:00~12:00 |
| 세미나실 | 27동 325호 |
| 강연자 | 박준영 (전남대학교) |
| 담당교수 | 김도형 |
| 기타 |
In this lecture, I will talk about basic ingredients for the proof of the Weil conjectures. I will cover the following topics.
• Statement of Weil conjectures.
• Weil cohomology theory.
• Sites, topoi, sheaf cohomology.
• Étale cohomology.
• l-adic étale cohomology.
With these, we get 3 out of 4 statements of the Weil conjecture. If time permits, I will cover
• Katz’s proof of the Riemann Hypothesis for hypersurfaces.
This, together with Scholl’s reduction from the general case to the hypersurfaces, we get the whole Weil conjectures. This proof does not require ‘Weil II’.
