BIMSA-YMSC Number Theory Lunch Seminar: The Pila-Zannier Method

BIMSA-YMSC Number Theory Lunch Seminar

This is an in-person seminar at BIMSA over lunch, aimed to promote communications in the Number Theory teams at BIMSA and YMSC. Each talk is 45 minutes long and does not focus on research results. Instead, we encourage each speaker to discuss either (1) a basic notion in Number Theory or related fields or (2) applications or computational aspects of Number Theory. People interested in Number Theory are welcome to attend.

Organizers：

Yong Suk Moon, Koji Shimizu

Speaker：

Roy Zhao

Time：

Thur., 12:00-1:00 pm, Sept. 26, 2024

Venue：

BIMSA A4-1

Title：

The Pila-Zannier Method

Abstract:

In 2011, Pila proposed a new method using o-minimality and mathematical logic to prove the Andre-Oort Conjecture for modular curves. This framework has been used to great success in unlikely intersection problems, culminating in the proof of the full Andre-Oort Conjecture in 2021. We will demonstrate the method in a simple example and give some hints for how this generalizes.