Dear Colleagues and Students,
\nYou are kindly invited to the Algebra Seminar organized by the Department of Mathematics.
\nSpeaker: Laurence Barker (Bilkent University)<\/p>\n
\u201cAn introduction to fusion systems, Alperin\u2019s Weight Conjecture, Linckelmann\u2019s Gluing Conjecture, part 2.\u201d<\/p>\n
Abstract: We shall introduce the fusion system of a block, constructing it as a subquotient category of the transporter category of the G-poset of Brauer pairs. We shall use it to express Puig\u2019s reformulation of Alperin\u2019s Conjecture, which is a p-local assertion in Puig\u2019s strong sense. Examples show that the fusion system cannot be the sole p-local invariant involved. Like a New Year tree, the fusion system has to be decorated.
\nThe appropriate decorations consist of twists of the automorphism groups at some special objects called the centric objects.
\nLinckelmann\u2019s Gluing Conjecture says that those twists can be unified, realized as a single twist of the category algebra of the centric part of the fusion system.<\/p>\n
Date: Monday, November 19, 2018
\nTime: 10:40
\nPlace: Mathematics Seminar Room, SA \u2013 141<\/p>\n","protected":false},"excerpt":{"rendered":"
Dear Colleagues and Students, You are kindly invited to the Algebra Seminar organized by the Department of Mathematics. Speaker: Laurence Barker (Bilkent University) \u201cAn introduction to fusion systems, Alperin\u2019s Weight Conjecture, Linckelmann\u2019s Gluing Conjecture, part 2.\u201d Abstract: We shall introduce the fusion system of a block, constructing it as a [\u2026] <\/p>\n