Mathematics Colloquia and Seminars
Bounding ideal invariantsAlgebraic Geometry
|Speaker:||Andrew Snowden, University of Michigan|
|Start time:||Wed, Jan 31 2018, 11:00AM|
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.