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Castelnuovo-Mumford regularity of edge ideals of graphs (Siamak Yassemi, University of Tehran)

January 28 @ 12:15 pm - 1:10 pm

Let K be a field and S = K[x_1,…,x_n] be the polynomial ring in n variables over K. For a graded S-module M with minimal free resolution the Castelnuovo-Mumford regularity  is defined. We survey a number of recent studies of the Castelnuovo-Mumford regularity of the ideals related to a graph and their (symbolic) powers. Our focus is on the bounds and exact values for the regularity in terms of combinatorial data from associated graphs. This research program has produced many exciting results and, at the same time, opened many further interesting questions and conjectures.

Details

Date:
January 28
Time:
12:15 pm - 1:10 pm
Event Category:

Venue

Emmy Noether Room, Millikan 1021, Pomona College
610 N. College Ave.
Claremont, California 91711
+ Google Map

Details

Date:
January 28
Time:
12:15 pm - 1:10 pm
Event Category:

Venue

Emmy Noether Room, Millikan 1021, Pomona College
610 N. College Ave.
Claremont, California 91711
+ Google Map