## An Exposition of p-adic Analysis toward Dwork’s Theorem – Alex Song

I will first give an exposition of Dwork’s Theorem about zeta functions on varieties over……

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# Category: Abstracts

## An Exposition of p-adic Analysis toward Dwork’s Theorem – Alex Song

## Probability and Number Theory: Some connections – Jaya Manthripragada

## Some Remarks on Landau-Siegel Zeros – Debmalya Basak

## Modular Forms and Their L-Functions – Cruz Castillo

## Herbrand-Ribet Theorem – Ken Willyard

## Elliptic Curves Over Complex Numbers – Alex Song

## Holomorphic Quantum Unique Ergodicity – Ploy Wattanawanichkul

## Shimura Reciprocity Law and Some Computations of Class Field Invariants – Khaled Albattal

## Cohen-Lenstra Heuristics – Ken Willyard

## Grothendieck’s L-Function Formula – Fengyuan Lin

Graduate Number Theory Seminar

University of Illinois Urbana-Champaign

I will first give an exposition of Dwork’s Theorem about zeta functions on varieties over……

We are going to start by looking at how Probabilistic Number Theory originated, by looking……

In the first part of the talk, I will survey some known results related to……

We will discuss what a Modular form is on the full Modular group and their……

The Herband-Ribet Theorem is an important result in Number Theory that describes a connection between……

I will introduce elliptic curves over and state some results about elliptic curves with complex……

Quantum Unique Ergodicity (QUE) is a phenomenon where the probability density associated to any density……

Shimura reciprocity law was first explicitly used by Shimura in his book “Introduction to the……

The Cohen-Lenstra heuristics provide conjectures on the distribution of Class groups of quadratic number fields…….

Grothendieck’s L-function formula is a significant result in algebraic geometry and number theory, providing a……