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 AnanyanHochster) 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 (conestability and semicontinuity). The key ingredients are the theorem of AnanyanHochster and a recent noetherianity result of Draisma.
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Speaker: Andrew Snowden
Institution: UM
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