Mon, 12 Oct 2009
14:15
14:15
L3
Mon, 30 Nov 2009
15:45
15:45
L3
Mon, 23 Nov 2009
15:45
15:45
L3
Mon, 16 Nov 2009
15:45
15:45
L3
Cohomology jump loci, sigma-invariants, and fundamental groups of alge-
Alex Suciu
(Northeastern University)
Mon, 09 Nov 2009
15:45
15:45
L3
Mon, 19 Oct 2009
15:45
15:45
L3
Characters and pushforward for differential K-theory with the Index theorem interpretation
Dennis Sullivan
(CUNY and Stony Brook)
Mon, 12 Oct 2009
15:45
15:45
L3
Tue, 10 Nov 2009
15:45 -
16:45
L3
Opers, Quot-schemes and Frobenius-destabilised vector bundles over curves
Christian Pauly
(Montpellier)
Abstract
In this talk I will introduce and study opers over a smooth projective curve X defined over a field of positive characteristic. I will describe a bijective correspondence between the set of stable vector bundles E over X such that the pull-back F^*(E) under the Frobenius
map F of X has maximal Harder-Narasimhan polygon and the set of opers having zero p-curvature. These sets turn out to be finite, which allows us to derive dimensions of certain Quot-schemes and certain loci of stable Frobenius-destabilized vector bundles over X.