NTSGrad Fall 2019/Abstracts: Difference between revisions
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Theta functions, Eisenstein series, and Adeles, Oh my! | Theta functions, Eisenstein series, and Adeles, Oh my! | ||
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== Sept 24 == | |||
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| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Dionel Jamie''' | |||
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| bgcolor="#BCD2EE" align="center" | ''On The Discrete Fuglede Conjecture'' | |||
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It's well known that the set of functions from a finite abelian group to the complex numbers forms an inner product space and that any such function can be written as a unique linear combination of characters which are orthogonal with respect to this inner product. We will look specifically at copies of the integers modulo a fixed prime and I will talk about under what conditions can we take a subset of this group, E, and express a function from E to the complex numbers as a linear combination of characters which are orthogonal with respect to the inner product induced on E. | |||
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Revision as of 03:46, 23 September 2019
This page contains the titles and abstracts for talks scheduled in the Fall 2019 semester. To go back to the main GNTS page, click here.
Sept 10
| Brandon Boggess |
| Law and Orders in Quadratic Imaginary Fields |
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To prepare for Thursday's talk, I will give a gentle introduction to the basic theory of complex multiplication for elliptic curves, beginning with a quick review of elliptic curves over the complex numbers. |
Sept 17
| Solly Parenti |
| The Siegel-Weil Formula |
|
Theta functions, Eisenstein series, and Adeles, Oh my! |
Sept 24
| Dionel Jamie |
| On The Discrete Fuglede Conjecture |
|
It's well known that the set of functions from a finite abelian group to the complex numbers forms an inner product space and that any such function can be written as a unique linear combination of characters which are orthogonal with respect to this inner product. We will look specifically at copies of the integers modulo a fixed prime and I will talk about under what conditions can we take a subset of this group, E, and express a function from E to the complex numbers as a linear combination of characters which are orthogonal with respect to the inner product induced on E. |