NTSGrad Fall 2018/Abstracts: Difference between revisions
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We will talk about Serre's results of the equidistribution of Hecke eigenvalues, wading very slowly through the analysis. | We will talk about Serre's results of the equidistribution of Hecke eigenvalues, wading very slowly through the analysis. | ||
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== Sept 25 == | |||
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| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Asvin Gothandaraman''' | |||
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| bgcolor="#BCD2EE" align="center" | ''Growth of class numbers in <math>\mathbb{Z}_p</math> extensions'' | |||
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I will explain how class numbers grow in a certain increasing sequence of number fields, why one should expect it based on an analogy with the function field case and the broad context in which this result sits. Time permitting, I will sketch a proof. | |||
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Revision as of 01:49, 24 September 2018
This page contains the titles and abstracts for talks scheduled in the Fall 2018 semester. To go back to the main GNTS page, click here.
Sept 11
| Brandon Boggess |
| Praise Genus |
|
We will explore topological constraints on the number of rational solutions to a polynomial equation, giving a sketch of Faltings's proof of the Mordell conjecture. |
Sept 18
| Solly Parenti |
| Asymptotic Equidistribution of Hecke Eigenvalues |
|
We will talk about Serre's results of the equidistribution of Hecke eigenvalues, wading very slowly through the analysis. |
Sept 25
| Asvin Gothandaraman |
| Growth of class numbers in [math]\displaystyle{ \mathbb{Z}_p }[/math] extensions |
|
I will explain how class numbers grow in a certain increasing sequence of number fields, why one should expect it based on an analogy with the function field case and the broad context in which this result sits. Time permitting, I will sketch a proof. |