Algebraic Geometry Seminar
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.
Event Series
Algebraic Geometry Seminar Series
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