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Xuqiang Qin, UNC-Chapel Hill – Geometric Methods in Representation Theory Seminar

November 12, 2021 @ 4:00 pm - 5:00 pm

Mode: In-Person

Location: Phillips Hall 385

Title: Minimal instantons on Fano threefolds and compactifications of their moduli spaces

Abstract: Instanton bundles were first introduced on P^3 as stable rank 2 bundles E with c1(E)=0 and H^1(E(-2))=0. Torsion free generalizations and properties of moduli spaces of instanton bundles have been widely studied. Faenzi and Kuznetsov generalized the notion of instanton bundles to other Fano threefolds. In this talk, we look at semistable sheaves of rank 2 with Chern classes c1 = 0, c2 = 2 and c3 = 0 on some Fano threefolds of Picard number 1 and index 2. We show that the moduli space of such sheaves provides a smooth compactification of the moduli space of minimal instanton bundles.

Details

Date:
November 12, 2021
Time:
4:00 pm - 5:00 pm
Event Category:

Venue

Phillips 385