Diophantine problems in thin orbits


Alex Kontorovich


Harvard University

Thursday, February 21, 2013


Talk at 4:30 p.m. in Science Center A

Tea at 4:00 p.m. in the Math Lounge


Abstract: We will discuss several naturally arising problems in arithmetic, including the local-global conjecture for integral Apollonian gaskets and Zaremba's conjecture. While the questions emerge in completely unrelated ways, they boil down to the same issue of determining a Hasse-type principle in a thin orbit. A key role is played by the recent explosion in spectral gap technology in the thin setting.


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Posted: January 30, 2013    URL: