Forthcoming Seminars › Seminar Series

Algebra Seminar

Tue, 12/10/2010
17:00 		Kevin McGerty (Oxford) Algebra Seminar Add to calendar L2
Duality for representations and quantum isogenies
Recently Frenkel and Hernandez introduced a kind of "Langlands duality" for characters of semisimple Lie algebras. We will discuss a representation-theoretic interpretation of their duality using quantum analogues of exceptional isogenies. Time permitting we will also discuss a branching rule and relations to Littelmann paths.
Tue, 19/10/2010
17:00 		Desi Kochloukova (UNICAMP) Algebra Seminar Add to calendar L2
Homological finiteness Bredon properties for groups
We discuss homological finiteness Bredon types FPm with respect to the class of finite subgroups and seperately with respect to the class of virtually cyclic subgroups. We will concentrate to the case of solubles groups and if the time allows to the case of generalized R. Thompson groups of type F. The results announced are joint work with Brita Nucinkis (Southampton) and Conchita Martinez Perez (Zaragoza) and will appear in papers in Bulletin of LMS and Israel Journal of Mathematics.
Tue, 26/10/2010
17:00 		Algebra Seminar Add to calendar L2
No seminar
Tue, 02/11/2010
17:00 		Nikolay Nikolov (Imperial College) Algebra Seminar Add to calendar L2
Product decompositions of simple groups
Tue, 09/11/2010
17:00 		Olivier Dudas (Oxford) Algebra Seminar Add to calendar L2
Brauer trees of finite reductive groups
Tue, 16/11/2010
17:00 		Raphaël Rouquier (Oxford) Algebra Seminar Add to calendar L2
Finite generation of group cohomology
Tue, 23/11/2010
17:15 		Panos Papazoglou (Oxford) Algebra Seminar Add to calendar L2
Quasi-isometry invariance of splittings and the lamplighter group
Tue, 30/11/2010
17:00 		Tatiana Bandman (Bar-Ilan) Algebra Seminar Add to calendar L2
Geometry and dynamics of some word maps on SL(2, Fq)
I will speak about a geometric method, based on the classical trace map, for investigating word maps on groups PSL(2, q) and SL(2, q). In two different papers (with F. Grunewald, B. Kunyavskii, and Sh. Garion, F. Grunewald, respectively) this approach was applied to the following problems. 1. Description of Engel-like sequences of words in two variables which characterize finite solvable groups. The original problem was reformulated in the language of verbal dynamical systems on SL(2). This allowed us to explain the mechanism of the proofs for known sequences and to obtain a method for producing more sequences of the same nature. 2. Investigation of the surjectivity of the word map defined by the n-th Engel word [[[X, Y ], Y ], . . . , Y ] on the groups PSL(2, q) and SL(2, q). Proven was that for SL(2, q), this map is surjective onto the subset SL(2, q) $ \setminus $ {−id} $ \subset $ SL(2, q) provided that q $ \ge q_0(n) $ is sufficiently large. If $ n\le 4 $ then the map was proven to be surjective for all PSL(2, q).

For any corrections/updates to these listings, please contact seminars [-at-] maths [dot] ox [dot] ac [dot] uk.

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