NTSGrad Fall 2022/Abstracts: Difference between revisions

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| bgcolor="#F0A0A0" align="center" style="font-size:125%" | Eiki Norizuki
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| bgcolor="#BCD2EE"  align="center" | p-adic L-functions
| bgcolor="#BCD2EE"  align="center" | p-adic L-functions

Revision as of 21:08, 3 October 2022

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

No speaker


10/4

Eiki Norizuki
p-adic L-functions
In this talk, I will look at how p-adic L-functions are constructed as first demonstrated by Kubota and Leopoldt. These are p-adic analogues of the Dirichlet L-functions and the main idea of the construction comes from interpolating the negative integer values of the classical L-functions. This talk should be accessible to everyone.


10/11

TBA
TBA


10/11

TBA
TBA


10/18

TBA
TBA


10/25

TBA
TBA


11/1

TBA
TBA


11/8

TBA
TBA


11/15

TBA
TBA


11/22

TBA
TBA


11/29

TBA
TBA


12/6

TBA
TBA


12/13

TBA
TBA