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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Tautological algebra of the moduli space of vector
bundles on a curve - Jaya Iyer (Institute of Math
ematical Sciences\, Chennai)
DTSTART;TZID=Europe/London:20220525T160000
DTEND;TZID=Europe/London:20220525T170000
UID:TALK174626AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/174626
DESCRIPTION:The cohomology theories capture topological\, comp
lex and algebraic structures on an algebraic varie
ty. The moduli spaces play an important role in Al
gebraic Geometry\, and the Cohomology structure on
both Betti and their Chow groups\, are of wide in
terest. The study of geometrically defined cycles
has been carried out on moduli of curves\, and mod
uli of abelian varieties. We propose to have a sim
ilar study on moduli of semi-stable vector bundles
on a curve. We consider the cohomology classes of
Brill Noether subvarieties and try to understand
the structure of the algebra generated by the clas
ses. It turns out to have a structure similar to t
he Poincaré\; \;formula found on the Jac
obian of a curve\, in certain cases.
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:
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