MATH-662 / 3 credits

Teacher: Patakfalvi Zsolt

Language: English

Remark: Fall 2024


Only this year


The course is about defining perfectoid spaces, and possibly presenting some applications.


Possible contents:
1) valuations, the Riemann-Zairski space of a field, the valuation spectrum of a ring
2) topological algebra
3) adic spaces
4) perfectoid algebras
5) perfectoid spaces
6) tilt of a perfectoid space

Learning Prerequisites

Required courses

Rings and modules, Algebraic geometry I - curves, Algebraic geometry II - schemes, Algebraic goemetry III



Wedhorn's and Morel's notes, Scholze: Perfectoid spaces

Ressources en bibliothèque

Références suggérées par la bibliothèque

Moodle Link

In the programs

  • Exam form: Oral presentation (session free)
  • Subject examined: Perfectoid spaces
  • Lecture: 28 Hour(s)
  • Project: 14 Hour(s)
  • Type: mandatory

Reference week

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