AG : Exposé de Johannes Schmitt (ETH, Zürich) : Moduli spaces of twisted k-differentials and Pixton’s cycle

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AG : Exposé de Johannes Schmitt (ETH, Zürich) : Moduli spaces of twisted k-differentials and Pixton’s cycle

3 décembre 2019 / 11:30 - 12:30

Johannes Schmitt (ETH – Zürich)

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.

AG : Exposé de Johannes Schmitt (ETH, Zürich) : Moduli spaces of twisted k-differentials and Pixton’s cycle

Détails

Date :
3 décembre 2019
Heure :
11:30 - 12:30
Catégorie d’évènement:

Lieu

Bâtiment Fermat, salle 2105

Organisateurs

Luc Pirio
Nicolas Perrin