PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Nigel Higson, Mari Royer.

Title:Syzygies of Veronese embeddings
Seminar:Department of Mathematics Colloquium
Speaker:Claudiu Raicu, Princeton University
Abstract:
Syzygies are important classical invariants attached to algebraic varieties. They can be defined iteratively starting from the defining equations of a variety and continuing with the relations between these equations, the relations between the relations etc. In the special case of the Veronese embeddings of the projective space, the structure of syzygies is particularly rich due to the presence of a large group of symmetries. Their study can be approached through a variety of techniques, placing them at the confluence of algebraic geometry, commutative algebra, representation theory and combinatorics. I will discuss some recent results on the structure of the syzygies of Veronese embeddings, and explain how their vanishing controls the asymptotic vanishing behavior (in the sense of Ein and Lazarsfeld) of syzygies of arbitrary algebraic varieties.

Room Reservation Information

Room Number:MB114
Date:02 / 06 / 2014
Time:03:35pm - 04:25pm