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Algebraic Geometry Seminar

Monday, April 27, 2015
4:00pm to 5:00pm
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The Drinfeld-Lafforgue-Vinberg degeneration of the stack of G-bundles
Simon Schieder, Graduate Student, Mathematics, Harvard University,

We study the singularities of the Drinfeld-Lafforgue-Vinberg

compactification of the moduli stack of G-bundles on a smooth projective curve for a reductive

group G. The definition of this compactification is due to Drinfeld and relies on the

Vinberg semigroup of G. We will mostly focus on the case G=SL_2; in this case the

compactification can alternatively be viewed as a canonical one-parameter

degeneration of the moduli stack of SL_2-bundles. We then study the

singularities of this one-parameter degeneration via the associated nearby cycles

construction. Time permitting, we might sketch a generalization to the case of an arbitrary

reductive group G and the relation to Langlands duality.

For more information, please contact Pablo Solis by email at pablos@caltech.edu or visit http://www.its.caltech.edu/~pablos/agsem.html.