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 twobed rooms and 2 fourbed rooms available.
Registration: If you wish to participate, please write an email to linda.hoyer@rwthaachen.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 