Logo

Mathematical Sciences Research Institute

Home » Local cohomology with support in ideals of maximal minors and sub-maximal Pfaffians (COMMA)

Seminar

Local cohomology with support in ideals of maximal minors and sub-maximal Pfaffians (COMMA) April 15, 2013 (02:00 PM PDT - 03:00 PM PDT)
Location: MSRI: Simons Auditorium
Speaker(s) Jerzy Weyman (Northeastern University)
Description No Description

Video
No Video Uploaded
Abstract/Media

I will report on joint work with Claudiu Raicu and Emily Witt on computing the GL-equivariant description of the local cohomology modules with support in the ideal of maximal minors of a generic matrix. I will explain the main tools that we employ in our study, namely (1) the BGG correspondence between the homology groups of linear complexes over a polynomial ring and minimal free resolutions over the exterior algebra, and (2) the exterior algebra analogue of the geometric technique for computing syzygies. If time permits, I will mention how the same techniques apply to give the description of the local cohomology modules with support in the ideal of 2n x 2n Pfaffians of a (2n+1) x (2n+1) generic skew-symmetric matrix, and mention a possible approach to extend our results to the case of non-maximal minors.

No Notes/Supplements Uploaded No Video Files Uploaded