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Introduction to rigid analytic geometry-Adic spaces and applications

External Lecturer: 
Alberto Vezzani, Universita' degli Studi di Milano
Course Type: 
PhD Course
Academic Year: 
20 h
The course is an introduction to some of the newest approaches to non-archimedean analytic geometry including:
- Huber's adic spaces;
- Raynaud's formal schemes and blow-ups;
- Clausen-Scholze's analytic spaces.
We will focus on specific examples arising from algebraic geometry, Scholze's tilting equivalence of perfectoid spaces and the Fargues-Fontaine curve.
We will also show how to define (motivic) homotopy equivalences in this setting, with the aim of defining a relative de Rham cohomology for adic spaces over \mathbb{Q}_pand a relative rigid cohomology for schemes over  \mathbb{F}_p.
Zoom link:
Topic: Rigid geometry Milano-SISSA
Time: This is a recurring meeting Meet anytime

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Meeting ID: 823 5704 1692
Passcode: 725699


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