Geometric identities on moduli spaces and their applications

Geometric identities on moduli spaces and their applications

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Andrew Yarmola, Princeton University
Fine Hall 110

We will discuss the Bridgeman-Kahn and Mirzakhani-McShane identities on moduli spaces of bordered Riemann surfaces. As applications, we will look at Bridgeman’s proof of the classical Abel identity and Mirzakhani’s work on Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces.