BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Jake Levinson (University of Washington)
DTSTART:20200611T223000Z
DTEND:20200611T233000Z
DTSTAMP:20260422T053737Z
UID:SFUQNTAG/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SFUQNTAG/6/"
 >Boij-Söderberg Theory for Grassmannians</a>\nby Jake Levinson (Universit
 y of Washington) as part of SFU NT-AG seminar\n\n\nAbstract\nThe Betti tab
 le of a graded module over a polynomial ring encodes much of its structure
  and that of the corresponding sheaf on projective space. In general\, it 
 is hard to tell which integer matrices can arise as Betti tables. An easie
 r problem is to describe such tables up to positive scalar multiple: this 
 is the "cone of Betti tables". The Boij-Söderberg conjectures\, proven by
  Eisenbud-Schreyer\, gave a beautiful description of this cone and\, as a 
 bonus\, a "dual" description of the cone of cohomology tables of sheaves.\
 n\n<p>I will describe some extensions of this theory\, joint with Nicolas 
 Ford and Steven Sam\, to the setting of GL-equivariant modules over coordi
 nate rings of matrices. Here\, the dual theory (in geometry) concerns shea
 f cohomology on Grassmannians. One theorem of interest is an equivariant a
 nalog of the Boij-Söderberg pairing between Betti tables and cohomology t
 ables. This is a bilinear pairing of cones\, with output in the cone comin
 g from the "base case" of square matrices\, which we also fully characteri
 ze.</p>\n
LOCATION:https://researchseminars.org/talk/SFUQNTAG/6/
END:VEVENT
END:VCALENDAR