[Turkmath:7124] [Fwd: Re: Cebir semineri Hatırlatma]

Mahmut Kuzucuoglu matmah at metu.edu.tr
29 Haz 2010 Sal 16:23:29 EEST


------------------------------ Özgün Mesaj -------------------------------


>   Sevgili arkadaşlar,
> Rusyanın Saint-Petersburg State Universitesinden Nikolai VAVILOV   1-2
> Temmuz da ODTÜ Matematik bölümünde ikişer saatlik iki seminer
> verecektir.
>  Seminer  survey şeklinde olacağından fazla teknik olmayacağını
düşünüyorum.
>  Semine başlıkları ve proğramı  şöyle:
> 1 Temmuz saat 14:30  1) OVERGROUPS OF SEMI-SIMPLE SUBGROUPS
> 2 Temmuz saat 9:30   2) GEOMETRY OF TORI
>
>
>  İlgilenen tüm arkadaşlar davetlidir.
> İyi çalışmalar
>  Mahmut
>
>
> 1) OVERGROUPS OF SEMI-SIMPLE SUBGROUPS
>
> A systematic survey of results on overgroups of semi-simple subgroups in
> classical groups and Chevalley groups over (mostly, arbitrary commutative)
> rings. A natural context to define classes of large subgroups are
> Aschbacher (or, respectively, Liebeck---Seitz) classes.
>     I will discuss overgroups of subsystem subgroups, twisted subgroups
> (such as classical  subgroups), subring subgroups, tensored subgroups,
> and some other examples.
>
> 2) GEOMETRY OF TORI
>
> A systematic survey of results on overgroups of tori in classical groups
> and
> Chevalley groups over fields (and some zero-dimensional rings).
>     Even the description of overgroups of split maximal tori (Seitz,
> Borewicz, Dybkova and myself)  is not well-known.
>     For non-split maximal tori the answer is only known in full generality
> for VERY special fields,
> such as finite (Seitz) or real (Djokovic and Platonov). Even over Q the
> answer is known only for  some classes of maximal tori (Koibaev and
> Platonov).
>    In the talk I describe a new approach towards these results (results
> under way by Nesterov  and myself).
>
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