GTA Courses in Bilbao
GTA Courses in Bilbao
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Representations of group algebras into division rings and applications
Representations of group algebras into division rings and applications
March 24 - March 28, 2025
March 24 - March 28, 2025
The course is given by Andrei Jaikin Zapirain and the problem sessions are led by Pablo Sánchez Peralta.
Abstract:
We describe the theory of representations of the group algebra KG over a field K into division rings, as developed by Cohn and Malcomson. We show how this theory relates to ordinary and mod-p L2-Betti numbers when G is torsion-free, and we discuss several recent applications.
l^2 homology and applications to infinite groups
l^2 homology and applications to infinite groups
March 31 - April 2, 2025
March 31 - April 2, 2025
The course is given by Sam Hughes.
Abstract:
In this minicourse I will survey the theory of l^2-homology. More specifically, I will look at some of the formulations of the homology groups (via l^2-chains, via von Neumann algebras, and in a more restricted setting via skew fields). I will highlight some recent applications of the homology groups and I will demonstrate a number of methods for computing them.
Course Schedule
Course Schedule
March 24 -28 (lectures by Andrei Jaikin)
March 24 -28 (lectures by Andrei Jaikin)
09.30 - 10.00 Registration (on Monday)
10.00 - 11.15 Course
11.15 - 11.45 Coffee break
11.45 - 13.00 Course
13.00 - 15.00 Lunch
15.00-17.00 Problem session (led by Pablo Sánchez Peralta)
March 31 - April 2 (lectures by Sam Hughes)
March 31 - April 2 (lectures by Sam Hughes)
10.00 - 10.30 Registration (on Monday)
10.30 - 12.00 Course
12.30 - 15.00 Lunch
15.00-16.30 Course
Registration
Registration
Please fill in this form. The deadline for registration is February 28th.
The registration fee is 40 Euros (which includes lunches) to be paid on arrival.
The registration fees may be waived for participants without a grant.
Note that the conference GTA VI will take place on April 3-4 in Bilbao. You can find further information here
Venue
Venue
The couse given by Andrei Jaikin will take place in the Seminar room of the Mathematics Department at the Leioa Campus of the UPV/EHU.
Once you leave the bus, walk a few meters and enter door number 3 (see picture below). Walk straight until the end of the corridor and on your left, you will see stairs. Go up one floor and the seminar is the first door on your left.
The course given by Sam Hughes will take place in room 1.A1 at the Leioa Campus of the UPV/EHU.
Enter through door number 2 (see the picture below). On the sides there are stairs and you go up to the first floor. There you turn left, walk a few meters and the room will be on your right.
Course material (Andrei Jaikin)
Course material (Andrei Jaikin)
Lecture notes
Lecture notes
Notes and exercises can be downloaded form Andrei's website
Here are direct links: notes and exercises (may be out-of-date)
Course material (Sam Hughes)
Course material (Sam Hughes)
Lecture notes
Lecture notes
You can find the notes here
These courses are offered by the PhD programme of the Mathematics Department of the University of the Basque Country in the framework of the BCAM Severo Ochoa courses and organised by the GTA research group, funded by the Basque Government.
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