Program

Prerequisites

The primary target audience of the fall school are advanced graduate students and postdocs interested in learning about methods which have lead to the recent progress in birational geometry and commutative algebra in mixed characteristic. Suggested prerequisites include:

• familiarity with material in a graduate level course in Algebraic Geometry (at the level of Algebraic Geometry by Robin Hartshorne)

• familiarity with material in a graduate level course in Commutative Algebra (at the level of Commutative Algebra with a View Toward Algebraic Geometry by David Eisenbud)

• some experience with (a non-empty subset of): cohomology theories, categorical/homotopical algebra, minimal model program / birational geometry

Exercise sessions

The speakers will provide exercises during their lectures. These will be discussed during daily exercise sessions, led by course assistants (to be named later).

Dinner on Thursday

The school dinner will take place at a restaurant to be announced later on Thursday.

Free afternoon on Wednesday

During the free afternoon there is no official program. Here are some suggestions:

• bouldering: Mainz has a bouldering gym.

• hiking: If the weather is good, there are several scenic hikes just a train ride away. One option is to take a train to Bad Münster am Stein and hike to Bad Kreuznach via `Rheingrafenstein' and `Gans'. There you can stop at a Biergarten (Brauwark) and catch a train back to Mainz. Here is a GPX track for the hike.

• sight seeing: Mainz has many famous sights, among them the Gutenberg-Museum and the Stephanskirche with the famous Chagall windows.

Schedule (tentative)