Subject: Equivalences of Blocks of Group Algebras

Summary: We follow Broué's survey "Equivalences of Blocks of Group Algebras" reviewing different types of equivalences between block algebras and classifying their group-theoretic and numerical invariants.

Schedule: Mondays 16:00-17:30 in the KOMMS-Raum (48-562) [KIS].
Start: Monday the 2nd of November

Format: talks will be held at the black board in Room 48-562 and will be live streamed. In November, participants should attend the talks online through the OpenOLAT page of the seminar. Further information will be sent by e-mail on Friday the 30th of October.

Videos / Notes: registered seminar participants can access the videos of the talks and sets of notes from the OpenOLAT page of the seminar. These are not publicly available.

02.11.2020	C. Lassueur	Introduction
09.11.2020	K. Kaiser	Module categories and equivalences
16.11.2020	L. Voggesberger	Blocks and their invariants, the cde-triangle
23.11.2020	B. Johansson	Morita equivalences
30.11.2020	E. Norton	Rickard, splendid Rickard and perverse equivalences
07.12.2020	G. Malle	Perfect isometries and isotypies
14.12.2020	C. Lassueur	Stable equivalences of Morita type and source algebra equivalences
11.01.2021	B. Böhmler	\(p\)-permutation equivalences
18.01.2021	L. Ruhstorfer	Morita and splendid Rickard equivalences for finite groups of Lie type
01.02.2021	Micheal Livesey [University of Manchester]	Picard groups of blocks

The programme and the talk titles are preliminary. Participants are welcome to offer a talk on a subject of their choice linked to the topic of the seminar. Some talks can be switched.

[1]	M. Broué, Equivalences of Blocks of Group Algebras. [MATHSCINET]
[2]	M. Linckelmann, The Block Theory of Finite Group Algebras [MATHSCINET]
[3]	B. Sambale, Survey on perfect isometries [arXiv]