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SUMMARY:Quot schemes of surfaces - Samuel Stark\, Imperial College London
DTSTART:20220309T141500Z
DTEND:20220309T151500Z
UID:TALK168140@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:The Quot scheme of length l quotients of a vector bundle E on 
 a smooth surface S can be thought\nof as a cross of the Hilbert scheme of 
 points of S (E=O) and the projectivisation of E (l=1).\nThis scheme is sin
 gular when l and the rank of E are at least 2\, and very little is known a
 bout it.\nI will describe two fundamental results concerning its intersect
 ion theory\, and their applications\nto the study of tautological integral
 s.
LOCATION:CMS MR13
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