Top Weight Cohomology of M_g

Explore a lecture on the top-graded piece of the weight filtration on open moduli spaces with suitable toroidal compactifications. Delve into an approach inspired by tropical and nonarchimedean analytic geometry, presented by Sam Payne from the University of Texas. Discover the recent proof, developed in collaboration with Chan and Galatius, demonstrating that the dimension of H^{4g-6}(M_g, Q) grows exponentially with g. Learn about this unexpected growth and its implications, including the disproval of conjectures by Church-Farb-Putman and Kontsevich. Gain insights into cutting-edge research in algebraic geometry and topology during this 1-hour and 6-minute talk from the University of Miami.