Alexandr Zubkov
Omsk, Russia
Solvable, reductive and quasi-reductive supergroups.
Abstract: The notion of reductive group plays crucial role in the theory of algebraic groups since the middle of the last century. More precisely, there were two notions : reductive and geometrically reductive group, until Haboush has proved that they are the same. In my talk I am going to discuss possible generalizations of the above concepts for algebraic supergroups and the problems arise here. I will recall the notion of quasi-reductive supergroup by Serganova, the notion of reductive and geometrically reductive supergroup which are similar to the classical ones, the notion of unipotent and solvable radical etc. Some partial results and open problems will be formulated and discussed also.