YoVDO

A Polynomial Bogolyubov-Type Result for the Special Linear Group

Offered By: Hausdorff Center for Mathematics via YouTube

Tags

Linear Algebra Courses Group Theory Courses Vector Spaces Courses Finite Fields Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore a mathematical lecture on a polynomial Bogolyubov-type result for the special linear group. Delve into the analogy between subset properties in finite dimensional vector spaces and the special linear group over a finite field. Learn about the achievement of polynomial density for subgroups in the special linear group, contrasting with the quasi-polynomial density known for vector spaces. Discover the key tool used in this research: a new hyper-contractive estimate for the special linear group, rooted in the study of 2-to-2 games. Gain insights into advanced mathematical concepts and their applications in group theory and finite field analysis during this hour-long presentation from the Hausdorff Center for Mathematics.

Syllabus

Guy Kindler: A polynomial Bogolyubov-type result for the special linear group


Taught by

Hausdorff Center for Mathematics

Related Courses

Introduction à la théorie de Galois
École normale supérieure via Coursera
Combinatorial Mathematics | 组合数学
Tsinghua University via edX
Groupes finis : les mathématiques du Rubik's cube
Université de Strasbourg via France Université Numerique
Chemical Applications Of Symmetry And Group Theory
Indian Institute of Technology Kanpur via Swayam
Introduction to Abstract Group Theory
Chennai Mathematical Institute via Swayam