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SUMMARY:Parahoric bundles and parabolic bundles - Balaji\, V (Chennai Math
 ematical Institute)
DTSTART:20110215T100000Z
DTEND:20110215T110000Z
UID:TALK29879@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Let $X$ be a compact Riemann surface of genus $g geq 2$ and le
 t $G$ be a semisimple simply connected algebraic group. We introduce the n
 otion of a {m parahoric} $G$--bundle or equivalently a torsor under a sui
 table Bruhat-Tits group scheme. We also construct the moduli space of semi
 stable parahoric $G$--bundles and identify the underlying topological spac
 e of this moduli space with certain spaces of homomorphisms of Fuchsian gr
 oups into maximal compact subgroup of $G$.  These results generalize the e
 arlier results of Mehta and Seshadri on parabolic vector bundles. (joint w
 ork with C.S Seshadri).\n
LOCATION:Seminar Room 1\, Newton Institute
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