Flatness, blowups, and valuations

Study seminar, Spring 2023


Akseli Gallen-Kallela, Clouds Above a Lake, 1904

Time: Thursdays, 10:15-11:45

Venue: room 1780 at MIMUW

Description

The seminar is aimed at undergraduate and graduate students and postdocs interested in algebraic and arithmetic geometry.

The goal of the seminar is to understand the proof of the flattening theorem of Gruson and Raynaud and its applications in algebraic geometry and non-Archimedean geometry. The seminar syllabus is here: [PDF].

The first talk will be given on Mar 2 by Piotr Achinger. We will give an outline of what we plan to do this semester and assign speakers to the talks.

Please contact Piotr if you would like to be added to the seminar's mailing list.

Schedule

Please consult the syllabus [PDF].
Mar 2 Piotr Achinger Organizational meeting / Introduction and Overview
Mar 9 Piotr Achinger Proof in special cases
Mar 16 Sylvain Gaulhiac Dévissage and criterion of flatness
Mar 23 Piotr Oszer Proof of the flattening theorem (I)
Mar 30 Michał Łupiński Proof of the flattening theorem (II)
Apr 13 Feliks Rączka Relative Riemann–Zariski spaces (I)
Apr 20 Feliks Rączka (?) Relative Riemann–Zariski spaces (I)
Apr 27 Mateusz Kobak (?) Nagata's compactification theorem
May 11 Sylvain Gaulhiac Guignard's proof of the flattening theorem (I)
May 18 Mateusz Kobak Guignard's proof of the flattening theorem (II)
May 25
June 1
June 15

Contact: