Tokyo-Nagoya Algebra Seminar

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Organizer(s) Noriyuki Abe, Aaron Chan, Osamu Iyama, Yasuaki Gyoda, Hiroyuki Nakaoka, Ryo Takahashi

2025/12/11

13:00-14:30   Room #056 (Graduate School of Math. Sci. Bldg.)
Hybrid meeting, Zoom ID 895 8731 1175 Password 489352
Paul Balmer (UCLA)
The stable permutation category of a finite group (English)
[ Abstract ]
In this joint work with Martin Gallauer, we discuss the definition of the stable permutation category in modular representation theory. That category should be to the ordinary stable module category what the derived permutation category is to the ordinary derived category. Our construction is inspired by the picture provided by tensor-triangular geometry. We also use this geometric picture to decide when this new stable permutation category is connected or not, and to compute some components.
[ Reference URL ]
https://www.math.nagoya-u.ac.jp/~aaron.chan/TNAseminar.html