Perfectoid spaces

Perfectoid spaces

Semester
SoSe 2019

Lecturer
Georg Tamme

Type of course (Veranstaltungsart)
Vorlesung

Contents
The main goal of this course is to develop the basic theory of perfectoid spaces. For example, we will introduce adic spaces and the language of almost mathematics. We will then discuss one application of this theory.

(Perfectoid spaces have been invented by Peter Scholze as a tool to transport problems in arithmetic geometry from characteristic 0 to characteristic p where they are sometimes easier to solve thanks to the Frobenius morphism. These perfectoid methods already have several spectacular applications in different areas of mathematics, e.g. in commutative algebra, algebraic geometry, and p-adic Hodge theory.)

Recommended previous knowledge
I will assume basic knowledge of algebraic geometry. Apart from this, I will try to make the course self-contained.

Time/Date
Tuesday-Thursday 8-10

Location
M009 (Tue), M104 (Thu) (tbc)

Registration

Registration for course work/examination/ECTS: FlexNow

Course work (Studienleistungen)

Successful participation in the exercise classes: two presentations of a solution in class

Examination (Prüfungsleistungen)

Oral exam: Duration: 25 minutes, Date: individual, re-exam: Date: individual

Regelungen bei Studienbeginn vor WS 2015 / 16

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

Modules
BV, MV, MArGeo

ECTS
9

Druckansicht