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SUMMARY:Moduli spaces of twisted k-differentials and Pixton's cycle - Joha
 nnes Schmitt\, Universität Bonn
DTSTART:20191113T141500Z
DTEND:20191113T151500Z
UID:TALK130261@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:Inside the moduli space of smooth genus g curves with n markin
 gs\, there are the loci of curves admitting a meromorphic k-differential w
 ith prescribed zeros and poles at the marked points. We explain a compacti
 fication of these loci proposed by Farkas-Pandharipande and describe its c
 omponents and their dimensions. We present a conjectural relation between 
 a weighted fundamental class of the compactification with a tautological c
 ycle defined by Pixton. In recent joint work with David Holmes\, we explai
 n how the weights of the weighted fundamental class arise from intersectio
 n multiplicities inside a universal Jacobian.
LOCATION:CMS MR13
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