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SUMMARY:On the modular interpretation of the Nagaraj-Seshadri locus - Schm
 itt\, A (Free University of Berlin)
DTSTART:20110526T141500Z
DTEND:20110526T151500Z
UID:TALK31510@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We will survey constructions of moduli spaces for principal bu
 ndles on nodal curves over the complex numbers. This includes a moduli spa
 ce for torsion free sheaves A of rank r and degree zero on an irreducible 
 nodal curve X which are endowed with a homomorphism d: ∧^r A → O_X whi
 ch is an isomorphism away from the node. It is a degeneration of the modul
 i space of SL_r(C)-bundles on a smooth curve. In many cases\, this moduli 
 space puts a scheme structure on the "Nagaraj-Seshadri locus"\ninside the 
 moduli space of semistable torsion free sheaves of rank r and degree zero.
 \n\n\n
LOCATION:Seminar Room 1\, Newton Institute
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