Homepage for Ulrike Tillmann

Ulrike Tillmann

The classes will be held on Mondays at 11:00 in either in L5 or L6.

FI-modules and stability for representations of symmetric groups by Tom Church, Jordan Ellenberg and Benson Farb will be our main source.
Representation theory and homology stability by Tom Church and Benson Farb is the paper with which the subject was kick started.
Representation stability is the paper by Benson Farb on which his talk at the ICM 2014 will be based.

Lecture 1: Introduction - U.T.
Lecture 2: Overview - U.T.
Lecture 3: FI-modules and generators - 2.1, 2.2 - Manuel
Lecture 4: Stability degree - 2.4, 2.5 - Hemanth
Lecture 5: Characters of FI-modules - 2.9
Lecture 6: FI-algebras - 2.10
Lecture 7: Application: cohomology of configuration spaces - 4.1, 4.2, 4.3
Lecture 8: Application: graded Lie algebras asociated to the lower central series - 5.3