On finite generation of the section ring of the determinant line bundle.

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Angela Gibney
University of Georgia
Mon, 11/07/2016 - 3:00pm - 4:00pm
RH 306

I will discuss recent work, with Prakash Belkale, where we show the section ring for the pair (Bun, D) is finitely generated, for D the determinant of cohomology line bundle on the stack Bun = Bun_{SL(r)}(C) parameterizing principal SL(r)-bundles on a singular stable curve C.  I'll define these things, put the result into some historical perspective, and give two applications.