Date & Time: Tuesday, March 08, 2016, 15:30-16:30.
Venue: Room No. 216

Title: Uniform Bounds for Projective Dimension and Castelnuovo-Mumford Regularity

Speaker: Giulio Caviglia, Purdue University

Abstract: A question of Stillman asks: Is there a bound for the projective dimension of every homogeneous ideal generated in a polynomial ring, which depends solely on the knowledge of the degrees of the generators, and not on the number of variables? In joint work with A. Banerjee, we show that for every fixed degree sequence, the correctness of a conjectural bound can be proved by an implementable algorithm.