Orateur
M.
Jan Draisma
(Technische Universiteit Eindhoven)
Description
Many non-Noetherian rings and topological spaces equipped with the action of a large group or monoid are in fact Noetherian up to that action. This phenomenon is responsible for several recent finiteness results in algebraic geometry and commutative algebra. I will discuss examples concerning certain infinite-dimensional toric varieties with an action of the infinite symmetric group, and concerning secant varieties of classical varieties with an action of an infinite-dimensional algebraic group.