Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Point-Counting and the Zilber-Pink Conjecture - Lecture 4

Institut des Hautes Etudes Scientifiques (IHES) via YouTube

Overview

Explore an in-depth lecture on the Zilber-Pink conjecture and point-counting techniques in diophantine geometry. Delve into this far-reaching generalization of the Mordell-Lang and Andre-Oort conjectures, examining its significance in number theory. Discover the point-counting approach for definable sets in o-minimal structures and its successful application in proving the Andre-Oort conjecture. Investigate the specific case of a curve in a power of the modular curve, while gaining insights into the model-theoretic contexts and essential arithmetic ingredients underlying these conjectures and techniques. Join Jonathan Pila from the University of Oxford as he presents this advanced mathematical topic at the Institut des Hautes Etudes Scientifiques (IHES) in a comprehensive 1 hour and 52 minute session.

Syllabus

Jonathan Pila - 4/4 Point-Counting and the Zilber-Pink Conjecture

Taught by

Institut des Hautes Etudes Scientifiques (IHES)

Reviews

Start your review of Point-Counting and the Zilber-Pink Conjecture - Lecture 4

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.