NTSGrad Fall 2020/Abstracts: Difference between revisions
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| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Eiki Norizuki''' | | bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Eiki Norizuki''' | ||
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| bgcolor="#BCD2EE" align="center" | '' | | bgcolor="#BCD2EE" align="center" | ''Character Ratio of the Transvection in GL_n(F_q)'' | ||
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This will be a prep talk for Wednesday's NTS talk by Shamgar Gurevich. We will talk about the character ratio of the transvection in GL_n(F_q) and results concerning this quantity. | This will be a prep talk for Wednesday's NTS talk by Shamgar Gurevich. We will talk about the character ratio of the transvection in GL_n(F_q) and results concerning this quantity. | ||
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== Oct 13 == | |||
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| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Eiki Norizuki''' | |||
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| bgcolor="#BCD2EE" align="center" | ''Recent applications of geometry of numbers.'' | |||
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I will review geometry of numbers and then discuss its applications to bounds of 2-torsion in class groups of number fields (2017) in detail. If time permits, I will also discuss its application to counting number fields with bounded discriminant (2019) briefly. | |||
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Revision as of 03:06, 13 October 2020
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. |
Oct 6
| Eiki Norizuki |
| Character Ratio of the Transvection in GL_n(F_q) |
|
This will be a prep talk for Wednesday's NTS talk by Shamgar Gurevich. We will talk about the character ratio of the transvection in GL_n(F_q) and results concerning this quantity. |
Oct 13
| Eiki Norizuki |
| Recent applications of geometry of numbers. |
|
I will review geometry of numbers and then discuss its applications to bounds of 2-torsion in class groups of number fields (2017) in detail. If time permits, I will also discuss its application to counting number fields with bounded discriminant (2019) briefly. |