Seminar Event Detail

Algebraic Geometry

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
Institution:  UM

Event Organizer:     


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