BIRS Workshop Lecture Videos
Reductive Subgroups of Reductive Groups Litterick, Alastair
The subgroup structure of reductive groups has been intensively studied since at least the 1950s, when Dynkin classified maximal connected subgroups of complex reductive groups. One of the main outstanding problems in the theory is to classify so-called "non-completely-reducible" reductive subgroups. Recent joint work with Adam Thomas has achieved such a classification for subgroups of exceptional simple groups, when the characteristic is 'good'. When the characteristic is bad, the theory becomes much more delicate, and we will discuss some of the problems arising, including understanding 'non-abelian cohomology sets' which arise.
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