Prof. Dr. Jens Franke

Lecture "Etale Cohomology" WS23/24

The lecture is currently scheduled for Thursdays 14-16ct in 0.006 and Fridays 16-18ct in Zeichensaal. The etale site will be introduced and the basic results on which the proof of the Weil conjectures depends, like proper and smooth base change, will be covered. This will be followed by a lecture on Weil 1 next year. A very good knowledge of algebraic geometry 1/2 will be required. Exams will be written on Friday, February 16, 2024 and Monday, March 18, 2024 from 9 to 12 (s. t.) in Kleiner Hörsaal (Wegelerstr. 10).

Lecture "Real algebraic geometry: The real spectrum"

The lectures will be on Tuesdays 8-10ct and Fridays 10-12ct in 0.006. After an introduction to real closed fields the real spectrum will be introduced and a result of Coste and Roy generalizing the real quantifier elimination result of Tarski and Seidenberg will be shown. A good knowledge of basic ring theory as well as Galois theory and some familiarity with the ordinary prime ideal spectrum will be required, but apart from this the prerequisites from algebra are minimal. The required results about spectral spaces will be introduced and shown in the lecture. Exams will be written on Tuesday, February 6, 2024 and Thursday, March 14, 2024 from 9 to 12 (s. t.) in Kleiner Hörsaal (Wegelerstr. 10). Exercise sheets:

Sprechstunden

In der vorlesungsfreien Zeit sind die Sprechstunden nach Vereinbarung.

Vorlesungen "Mathematik für Physiker I-III"

Die Javascript-Programme zu den Anwesenheitsübungen dieser Vorlesungen, die ich zwischen 2008 und 2011 gehalten habe, sind weiterhin online:

Selected Publications