Speakers

Title: Borel subgroups of Aut(A^3)

Abstract: Let X be an affine variety. It was recently proved by Cantat, Kraft, Regeta and van Santen that a connected solvable subgroup of Aut(X) can be decomposed as a semi-direct product of an algebraic torus T and a nested unipotent subgroup U. A Borel subgroup of Aut(X) is a maximal element of the set of connected solvable subgroups of Aut(X). In this talk, I will discuss Borel subgroups of Aut(X) with a focus on the special case where X = A^3. This is joint work with Andriy Regeta and Daniel Daigle.