University of Cambridge > Talks.cam > Algebraic Geometry Seminar > Moduli spaces of twisted k-differentials and Pixton's cycle

Moduli spaces of twisted k-differentials and Pixton's cycle

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Dhruv Ranganathan.

Inside the moduli space of smooth genus g curves with n markings, there are the loci of curves admitting a meromorphic k-differential with prescribed zeros and poles at the marked points. We explain a compactification of these loci proposed by Farkas-Pandharipande and describe its components and their dimensions. We present a conjectural relation between a weighted fundamental class of the compactification with a tautological cycle defined by Pixton. In recent joint work with David Holmes, we explain how the weights of the weighted fundamental class arise from intersection multiplicities inside a universal Jacobian.

This talk is part of the Algebraic Geometry Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity