NTSGrad Fall 2020/Abstracts
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This page contains the titles and abstracts for talks scheduled in the Fall 2020 semester. To go back to the main GNTS page, click here.
Sep 15
| Qiao He |
| Local Arithmetic Siegel-Weil Formula at Ramified Prime |
In this talk, I will describe a local arithmetic Siegel-Weil formula which relates certain intersection number on U(1,1) Rapoport-Zink space with local density. Via p-adic uniformization, this can be used to establish a global Siegel-Weil formula. The main novelty of this work is that we consider the ramified case. This is a joint work with Yousheng Shi and Tonghai Yang. |
Sep 22
| Johnny Han |
| Bounding Numbers Fields up to Discriminant |
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For those interested in arithmetic statistics, I'll present a quick proof of Schmidt's bound on numbers fields of given degree and bounded discriminant, as well as giving a quick overview of recent improvements on this bound by Ellenberg and Venkatesh. |
Sep 29
| Brandon Boggess |
| Dial M_{1,1} for moduli |
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We'll try to give a brief introduction to moduli problems, with an eye towards moduli of elliptic curves. |