Derived category of permutation modules
Paul Balmer (University of California, Los Angeles)
Abstract: The general theme of this joint work with Martin Gallauer is the study of how much of representation theory of a finite group is controlled by permutation modules. I shall recall basic definitions and state our result about finite resolutions by p-permutation modules in positive characteristic p. This is related to a reformulation in terms of derived categories. Time permitting, I shall discuss coefficients in more general rings than fields. This will relate to the singularity category of such rings, as constructed by Krause.
Mathematics
Audience: researchers in the discipline
Series comments: The Workshop and International Conference on Representations of Algebras (ICRA) will take place online between 9th November and 25th November 2020.
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Deadline for submitting research snapshots: November 1st, 2020
| Organizers: | Lidia Angeleri Hügel, Aslak Bakke Buan, Gustavo Jasso*, Henning Krause, Rosanna Laking, Øyvind Solberg |
| *contact for this listing |