|Diophantine problems in thin orbits|
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.
|Web page: Alexandru I. Suciu||Comments to: email@example.com|
|Posted: January 30, 2013||URL: http://www.math.neu.edu/bhmn/kontorovich13.html|