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Joint Meeting of AMS, DMV, and ÖMG
June 16-19, 2005
Johannes Gutenberg University
Mainz, Germany

Organizers
Volker Bach, Mainz; Klaus D. Bierstedt, DMV; Susan Friedlander, Associate Secretary, AMS

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Singular Principal Bundles on Algebraic Varieties
by
Alexander Schmitt
Universität Köln & Universität Duisburg-Essen

Singular principal bundles were used by the speaker to construct and compactify the moduli space of Ramanathan-stable principal G-bundles over a polarized projective manifold (X, OX(1)) over the field of complex numbers, G being a semisimple linear algebraic group.

Meanwhile, these objects have been used also on singular varieties, esp.\ nodal curves (Bhosle/Schmitt), and on algebraic surfaces for obtaining an algebraic model for the Uhlenbeck compactification (Balaji). Other potential extensions concern positive characteristic and decorated principal bundles.

The speaker will give a survey of these topics.

Date received: February 1, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caoz-61.