Seminars & Colloquia Calendar
Volumes and intersection theory on moduli spaces of abelian differentials
Dawei Chen -- Boston College & IAS
Location: SERC 206
Date & time: Wednesday, 20 February 2019 at 2:00PM - 3:00PM
Abstract: Computing volumes of moduli spaces has significance in many fields. For instance, the celebrated Witten's conjecture regarding intersection numbers on the Deligne-Mumford moduli space of stable curves has a fascinating connection to the Weil-Petersson volume, which motivated Mirzakhani to give a proof via Teichmueller theory, hyperbolic geometry, and symplectic geometry. The initial two other proofs of Witten's conjecture by Kontsevich and by Okounkov-Pandharipande also used various ideas in ribbon graphs, Gromov-Witten theory, and Hurwitz theory.
In this talk I will introduce an analogous formula of intersection numbers on the moduli spaces of abelian differentials that computes the Masur-Veech volumes.