This years edition of the IRTG joint block seminar of the SFB TRR 195 Symbolic Tools in Mathematics and their Application will be about algebraic number theory. We will start with the very basics (what does it mean for a prime to split over a field extension?) and move on to topics such as lattices and orders. In the final two days we will give an introduction to modular forms and elliptic curves, which were the key ingredients on Andrew Wiles' celebrated proof of Fermat's Last Theorem. We will finish with the theory of complex multiplication of elliptic curves, which gives a characterisation of the maximal abelian extension of an imaginary quadratic number field, to which David Hilbert said "The theory of complex multiplication is not only the most beautiful part of mathematics but also of the whole of science."
Date: July 11 - 14, 2024.
Location: Jugendherberge Aachen. There are 4 two-bed rooms and 2 four-bed rooms available.
Registration: If you wish to participate, please write an e-mail to linda.hoyer@rwth-aachen.de. Please include any dietary restrictions.
Deadline for registration: 1st of May, 2024.
| Thursday | Friday | Saturday | Sunday | |
|---|---|---|---|---|
| Breakfast |
7:00 - 9:00 |
7:00 - 9:00 |
7:00 - 9:00 |
|
| Morning |
Arrival
|
Morning talks
9:30 - 10:30: Talk 10:45 - 11:45: Talk |
Morning talks
9:30 - 10:30: Michael 10:45 - 11:45: Michael |
Morning talks
9:30 - 10:30: Linda 10:45 - 11:30: Akshay |
| Lunch |
12:00 - 13:00 |
12:00 - 13:00 |
12:00 - 13:00 |
12:00 - 13:00 |
| Afternoon |
Afternoon talks
13:30 - 14:45: Tobias 14:45 - 15:15: Coffee Break 15:15 - 16:15: Tobias 16:45 - 17:30: Jens |
Afternoon talks
13:30 - 14:30: Linda 14:30 - 15:15: Coffee Break 15:15 - 16:15: Exercise Session 16:30 - 17:30: Linda |
Hike
|
Departure
|
| Dinner |
18:00 - 19:00 |
18:00 - 19:00 |
18:00 - 19:00 |
| Jens Brandt |
Backtracking
|
| Tobias Braun |
Introductions + Lattices and Orders
|
| Michael Mertens |
Modular Forms
|
| Linda Hoyer |
Group Cohomology + Elliptic Curves
|
|
|
|
| Akshay Sant |
Modularity and Fermat’s Last Theorem
|
| Linda Hoyer | RWTH Aachen |
| Tobias Braun | RWTH Aachen |
| Jens Brandt | RWTH Aachen |
| Michael Mertens | RWTH Aachen |
| David Schlang | RWTH Aachen |
| Vanishree Krishna Kirekod | RWTH Aachen |
| Michael Schlößer | RWTH Aachen |
| Ibrahim Ahmad | RWTH Aachen |
| Yohannes Taye Jemberie | RWTH Aachen |
| Anna Wollenhaupt | RWTH Aachen |
| Daniel Rademacher | RWTH Aachen |
| Yannic Rohde | RWTH Aachen |
| Giulia Iezzi | RWTH Aachen |
| Lars Göttgens | RWTH Aachen |
| Marie Roth | RPTU Kaiserslautern |
| Annika Bartelt | RPTU Kaiserslautern |
| Fabian Mäurer | RPTU Kaiserslautern |
| Soham Shejwalkar | RPTU Kaiserslautern |
| Akshay Sant | RPTU Kaiserslautern |
| Nicolas Faroß | Saarland University |
| Friedrich Günther | Saarland University |
| Manuel Kany | Saarland University |
| Pascal Kattler | Saarland University |