Overview
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Explore advanced research in number theory through this mathematical seminar presentation examining two significant problems concerning indefinite integral ternary quadratic forms. Delve into the distribution of the ternary Markoff spectrum associated with minima of forms, a problem highlighted by Margulis in 1990, and investigate the asymptotic growth of the number of isotropic forms of bounded height, initiated by Serre in 1990. Learn about innovative mathematical tools developed to overcome difficulties involving high ramification, which prove useful for other distribution problems in the field. Discover collaborative research findings that advance understanding of quadratic forms through work conducted with Alexander Gamburd, Amit Ghosh, and Peter Sarnak. Gain insights into cutting-edge mathematical research presented by a scholar affiliated with both Seoul National University and Princeton University at this joint seminar between the Institute for Advanced Study and Princeton University's Groups and Dynamics program.
Syllabus
pm|Simonyi 101
Taught by
Institute for Advanced Study