Speaker: Oliver Goodbourn (Bochum)

Title: Reductive Pairs from Representations of \(SL_2\)


Reductive pairs are a class of nice embeddings of algebraic groups. They have been used to salvage some good behaviour observed in characteristic 0 in the positive characteristic case, and also in providing uniform proofs of otherwise technical results. I will talk about research into deciding when we get reductive pairs arising from representations of an algebraic group, focusing on the groups \(SL_2\).