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Colloquium

Mathematics Colloquium

Date:
Time:
4:00 pm – 4:50 pm
Avery Hall Room: 115
1144 T St
 Lincoln NE 68508
Additional Info: AVH
Contact:
Steven Cohn, (402) 472-7223, scohn1@math.unl.edu
Speaker: Jason McCullough
Affiliation: Rider University
Local Host: Alexandra Seceleanu
Title: Graded Free Resolutions of Ideals

Additional Public Info:
Let S be a polynomial ring over a field K. In algebra and geometry, one often wants to study the projective variety associated to a homogeneous ideal I of S. One way to do this is to compute its graded free resolution of I, which encodes the relations on the generators of I, the relations on those relations, etc. Graded free resolutions were initially introduced by Hilbert to study rings of invariants and have found applications throughout mathematics. In this talk, I will survey work on an open question of Stillman as to whether the length of a minimal graded free resolution of I is bounded by the degrees of the minimal generators of I. This is primarily joint work with Craig Huneke, Paolo Mantero and Alexandra Seceleanu.

Refreshments will be served 3:30-4:00 in 348 Avery. The talk is free and open to the public.

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