The Étale Fundamental Group

Seminar organised by Jinbi Jin (jinmengjun [plus] efg [at] gmail [dot] com)

 

Time and location

In week 51, the seminar will be on Monday, 15:00-17:00, instead of the usual time.

Wednesday, 11:15-12:50, Room Sn401

 

Outline

This seminar will have two main goals. The first is to define the étale fundamental group of a connected scheme \(S\) using a categorical approach, and the second is to prove a finiteness theorem about étale fundamental groups of proper, connected schemes over an algebraically closed field \(k\). For these purposes, the following topics will be covered.

Part I: Definitions

Part II: Finiteness

References

 

Schedule

2 October Jinbi Jin Introduction
9 October Chloe Martindale Galois Categories
16 October Maxim Mornev Flat and Étale Morphisms I
23 October Maxim Mornev Flat and Étale Morphisms II
30 October Milan Lopuhaä The Galois Category of Finite Étale Coverings
6 November Wouter Zomervrucht Faithfully Flat Descent
13 November Qijun Yan Descent of Properties of Morphisms→ leidenuniv.nl
20 November --- No seminar.
27 November Yan Zhao GAGA
4 December Yan Zhao Riemann Existence Theorem
11 December Jinbi Jin Specialisation Theory
16 December, 15:00-17:00 Qijun Yan ''Finiteness'' of the Étale Fundamental Group