NTSGrad Fall 2022/Abstracts

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Revision as of 16:13, 19 September 2022 by Hkim832 (talk | contribs) (→‎9/20: Added Title and Abstract for 9/20 talk)
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This page contains the titles and abstracts for talks scheduled in the Spring 2022 semester. To go back to the main GNTS page, click here.


9/13

Ivan Aidun
A Case Study in the Analogy Between Z and F_q[t]
An influential concept in modern number theory is the idea that the integers Z and the ring of polynomials over a finite field F_q[t] share many traits.  In this talk, I will discuss some particular examples of how this analogy can work, focusing on zeta functions and counting problems.  No prior familiarity will be required!


9/20

Jiaqi HOu
Poincare series and Petersson trace formula
I will talk about the Poincare series, which are basic examples of modular forms, and the Petersson trace formula for SL(2,Z). Then I will discuss some applications of Petersson's formula.


9/27

TBA
TBA


10/4

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10/11

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10/11

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10/18

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10/25

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11/1

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11/8

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11/15

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11/22

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11/29

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12/6

TBA
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12/13

TBA
TBA