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SUMMARY:Conjectures in local representation theory - Charles Eaton (Univer
 sity of Manchester)
DTSTART:20200110T113000Z
DTEND:20200110T123000Z
UID:TALK136576@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:I will survey the principal conjectures concerning the local d
 etermination of information about blocks of finite groups. Local determina
 tion\, meaning determination from information about p-subgroups\, their no
 rmalizers and related subgroups\, has been a significant strand of the sub
 ject since Brauer. In some cases we can already tell a great deal about a 
 block even from just the isomorphism type of its defect groups. Much of th
 e recent activity around block theory revolves around a number of conjectu
 res predicting precisely how invariants are determined from local subgroup
 s. These invariants range from simple numerical invariants such as the dim
 ension of the centre to the equivalence class of the module category and r
 elated categories.
LOCATION:Seminar Room 1\, Newton Institute
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