Compactification of algebraic groups and moduli spaces

Pablo Solis (Caltech)

Many important varieties in algebraic geometry come in some way from algebgraic groups. Examples include Abelian varieties, toric varieties, flag varieties or more generally spherical varieties. An important example of the latter is the so called wonderful compactification of a semisimple adjoint group. In this talk I will discuss a compactification of a Kac-Moody group associated to a loop group that in many ways generalizes the wonderful compactification of a semisimple group. Time permitting I'll discuss application to the moduli of principal bundles on a curve.

Tuesday, April 21st, at 4:00pm in HBH 227

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