240163 Galois groups and fundamental groups (S) (WiSe 2018/2019)
Contents, comment
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The aim of
this seminar will be to describe the analogy between the theory of covering
spaces (topology) and the Galois theory of fields (algebra and arithmetics).
This will take us to the Tannakian formalism, and to the definition of the
étale topology and of the étale fundamental group of a scheme (the main
objects of algebraic geometry), as envisioned by Grothendieck. Along the
way, we will discuss Riemann surfaces and algebraic curves. The main source
for this seminar will be Szamuely's book "Galois groups and fundamental
groups". This seminar is particularly relevant to anyone with interest in
topology, category theory, and algebraic geometry. The full description of
the seminar, as well as the distribution of talks, will be given in the
first lecture.
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period |
|---|
Subject assignments
| Module | Course | Requirements | |
|---|---|---|---|
| 24-M-P1a Profilierung 1 Teil A | Profilierungsseminar | Study requirement
|
Student information |
| 24-M-P1b Profilierung 1 Teil B | Profilierungsseminar | Study requirement
|
Student information |
| 24-M-P2 Profilierung 2 | Profilierungsseminar | Study requirement
|
Student information |
| 24-M-PWM Profilierung Wirtschaftsmathematik | Profilierungsseminar | Study requirement
|
Student information |
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- Thursday, August 2, 2018
- Last update times:
- Tuesday, October 9, 2018
- Last update rooms:
- Tuesday, October 9, 2018
- Type(s) / SWS (hours per week per semester)
- S / 2
- Department
- Faculty of Mathematics
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