Top weight cohomology of M_g

Abstract: I will discuss an approach to studying the top-graded piece of the weight filtration on open moduli spaces with suitable toroidal compactifications, inspired by tropical and non-archimedean analytic geometry. One application of this approach is the recent proof, joint with Chan and Galatius, that the dimension of H^{4g-6}(M_g, Q) grows exponentially with g. This growth was unexpected and disproves conjectures of Church-Farb-Putman and Kontsevich.

algebraic geometrydifferential geometryquantum algebrasymplectic geometry

Audience: researchers in the topic

Boston University Geometry/Physics Seminar

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