Arithmetic Intersection and a conjecture of Lauter

  • Tonghai Yang | University of Wisconsin at Madison

Motivated by her joint work with H. Cohn on genus two curve crypotosystem, Lauter gave a very inspiring conjecture on the CM value of Igusa invariants. They need to compute these values to construct `good’ genus two curves. This conjecture led to study of arithmetic intersection on an arithmetic 3-fold (Hilbert modular surface). Recently, I proved an arithmetic intersection formula, which leads to proof of Lauter’s conjecture. The formula also leads to the first non-abelian generalization of the celebrated Chowla-Selberg formula.

Speaker Details

Dr. Tonghai Yang is a professor of mathematics at the University of Wisconsin at Madison. He graduated in 1995 from the University of Maryland and had his postdoc experience at the Institute for Advanced Study at Princeton in 1995-96, and at the University of Michigan as an Hildebrandt research assistant professor in 1996-98. He became a tenure-track assistant professor at SUNY at Stony Brook in 1998 and was awarded an American Mathematical Society Centenial Fellowship in 1999 to visit Harvard University. He moved to the University of Wisconsin at Madison in 2000 and stayed there ever since. He published about 30 research papers and one joint research book with S. Kudla and M. Rapoport at the prestigious `Annals of Mathematics Studies’ series.Dr. Yang is an editor of the` Quarterly Journal of Pure and Applied Mathematics’ and is on the advisory board of `Abhandlungen aus dem mathematischen Seminar der Universitaet Hamburg.Dr. Yang is the founder of the public charity Hometown Education Foundation.

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