2005-11-04

Thomas Nevins, University of Illinois at Urbana-Champaign

Difference modules and Hilbert schemes

There is a rich story relating the geometry of Hilbert schemes and their deformations with the module theory of differential operators, with its roots in work of Wilson and Berest-Wilson. I'll explain a few features of an analogous story for q-difference operators and discuss some still-mysterious aspects of the differential geometry of the Hilbert schemes in question.