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Home » Geometry: The Gauss-Bonnet theorem for cone manifolds and volumes of moduli spaces

Seminar

Geometry: The Gauss-Bonnet theorem for cone manifolds and volumes of moduli spaces February 24, 2016 (11:00 AM PST - 12:00 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Curtis McMullen (Harvard University)
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The moduli space of n points on a sphere carries many natural complex hyperbolic metrics, whose completions are sometimes orbifolds and always cone manifolds (Picard, Deligne—Mostow, Thurston). We will discuss a generalization of the Gauss-Bonnet formula to this setting, use it to calculate the volumes, and relate the results to non-arithmetic lattices in SU(1,n).

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