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4:00 pm Tuesday, November 19, 2013 Algebraic Geometry Seminar: The distribution of S-integral points on SL_2-orbit closures of binary formsby Sho Tanimoto (Rice) in HB 227- We study the distribution of S-integral points of bounded height on SL_2-orbit closures of binary forms by using the method of mixing, a tool from ergodic theory. Main ingredients are the method of mixing developed by Eskin-McMullen and Benoist-Oh, Chambert-Loir and Tschinkel's study of asymptotic volume of height balls, and Hassett-Tschinkel's description of log resolutions of SL_2-orbit closures of binary forms in terms of moduli spaces of stable maps. This is joint work with James Tanis.
Submitted by btl1@rice.edu |