The Weil Conjectures

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The Weil Conjectures

Semester
SoSe 2020

Lecturer
Han-Ung Kufner

Type of course (Veranstaltungsart)
Seminar

Contents
The Weil conjectures on zeta functions of varieties over finite fields have many important applications in arithmetic geometry. The most difficult part, which is an analogue of the Riemann Hypothesis, was first proven by Pierre Deligne in 1974. In 1980 Deligne (Weil II) established the theory of weights in l-adic cohomology and proved an even more general result. This proof was later simplified by Laumon. The aim of the seminar is to understand the proof of the Weil conjectures following the ideas of Deligne's Weil II and the work of Laumon.

Literature
R. Kiehl, R. Weissauer: "Weil Conjectures, Perverse Sheaves and l-adic Fourier Transform"
P. Deligne: "La conjecture de Weil II"
G. Laumon: "Transformation de Fourier, constantes d'équations fonctionnelles et conjecture de Weil"

Recommended previous knowledge
Étale Cohomology

Time/Date
Wed 16-18

Location
M009

Registration

Organisational meeting/distribution of topics: Wednesday 05.02, M103, 12:30 - 14:00 or email to
han-ung.kufner"at"mathematik.uni-regensburg.de
Registration for course work/examination/ECTS: FlexNow

Course work (Studienleistungen)

Presentation: Giving a seminar talk of roughly 90 minutes

Examination (Prüfungsleistungen)

Detailed written report of the seminar talk

Regelungen bei Studienbeginn vor WS 2015 / 16

Benotet:
- O. g. Studienleistung und o. g. Prüfungsleistung; die Note ergibt sich aus dem Seminarvortrag
Unbenotet:
- O. g. Studienleistung

Modules
BSem, MV, MSem

ECTS
Siehe Modulkatalog. MV und Nebenfach: 4,5 LP bei Studienbeginn ab WS 15/16, 6 LP bei Studienbeginn
vor WS 15/16

Druckansicht