# University of Toronto's Symplectic Geometry Seminar

March 28, 2007, 2:10pm

BA 1230

## V Balaji

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## Stable principal bundles on algebraic surfaces and the Donaldson-Uhlenbeck compactification

**Abstract: **
When $X$ is a {\it smooth complex projective surface} and $H$ is
a simple algebraic group , we construct the algebro--geometric=20
Donaldson--Uhlenbeck compactification of the moduli space
of $\mu$--stable principal $H$--bundles with fixed characteristic
classes and describe its points.