BEGIN:VCALENDAR
PRODID:-//Columba Systems Ltd//NONSGML CPNG/SpringViewer/ICal Output/3.3-
M3//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20191009T142403Z
DTSTART:20191011T140000Z
DTEND:20191011T150000Z
SUMMARY:Cesare Ardito - Classifying 2-blocks with an elementary abelian d
efect group
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}msk-k1jbs37
l-6lp4fz
DESCRIPTION:This week's pure postgrad seminar will be given by Cesare Ard
ito at 3pm in Frank Adams 1.\n\nAbstract:\n\nDonovan's conjecture predic
ts that given a p-group D there are only finitely many Morita equivalenc
e classes of blocks of group algebras with defect group D. While the con
jecture is still open for a generic p-group D\, it has been proven in 20
14 by Eaton\, Kessar\, Külshammer and Sambale when D is an elementary ab
elian 2-group\, and in 2018 by Eaton and Livesey when D is any abelian 2
-group. The proof\, however\, does not describe these equivalence classe
s explicitly. \n\nA classification up to Morita equivalence over a compl
ete discrete valuation ring O has been achieved for D with rank 3 or les
s\, and for D = (C2)4. I have done (C2)5\, and I have partial results on
(C2)6. I will introduce the topic\, give the relevant definitions and t
hen describe the process of classifying this blocks\, with a particular
focus on the individual tools needed to achieve a complete classificatio
n.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
END:VEVENT
END:VCALENDAR