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Volumes and intersection theory on moduli spaces of differentials

Algebraic Geometry Seminar

Volumes and intersection theory on moduli spaces of differentials
Series: Algebraic Geometry Seminar
Location: ENR2 S395
Presenter: Dawei Chen, Boston College

Computing volumes of moduli spaces has significance in many fields. For instance, the celebrated Witten's conjecture regarding intersection numbers on moduli spaces of Riemann surfaces has a fascinating connection to the Weil-Petersson volumes, which motivated Mirzakhani to give a proof via Teichmueller theory, hyperbolic geometry, and symplectic geometry. In this talk I will introduce an analogue of Witten's intersection numbers on moduli spaces of holomorphic differentials to compute the Masur-Veech volumes induced by the flat metric of the differentials. This is joint work with Moeller, Sauvaget, and Zagier (arXiv:1901.01785).