|Date: Wednesday, December 06, 2017
Location: 4096 East Hall (4:10 PM to 5:30 PM)
Title: Bounding ideal invariants
Abstract: Stillman's conjecture (recently proved by Ananyan--Hochster) states that the projective dimension of a homogeneous ideal in a polynomial ring admits a bound depending only on the degrees of the generators of the ideal (and is notably independent of the number of variables). I will explain joint work with Dan Erman and Steven Sam in which we show that a similar kind of bound holds for any invariant of ideals satisfying two natural conditions (cone-stability and semi-continuity). The key ingredients are the theorem of Ananyan--Hochster and a recent noetherianity result of Draisma.
Speaker: Andrew Snowden