YoVDO

Pseudo-Reductive Groups by Brian Conrad

Offered By: International Centre for Theoretical Sciences via YouTube

Tags

Lie Groups Courses Geometry Courses Number Theory Courses Zariski-dense subgroups Courses

Course Description

Overview

Explore pseudo-reductive groups in this 56-minute lecture by Brian Conrad from Stanford University. Delve into the intricacies of Zariski-dense subgroups and number-theoretic techniques in Lie groups and geometry. Begin with an introduction to sample situations and key definitions before uncovering the "magic lemma" and its properties. Examine field extensions, construction methods, and important theorems related to pseudo-reductive groups. This talk is part of a special online event organized by the International Centre for Theoretical Sciences, featuring contributions from Professor Gopal Prasad in various areas of mathematics.

Syllabus

Introduction
Sample situations
Definitions
The magic lemma
Properties
Field Extension
Construction
Theorems


Taught by

International Centre for Theoretical Sciences

Related Courses

On the Hasse Principle for Reductive Algebraic Groups Over Finitely Generated
International Centre for Theoretical Sciences via YouTube
Uniform Stability of Higher-rank Lattices - Lecture 2
International Centre for Theoretical Sciences via YouTube
Introduction to Bruhat-Tits Theory - Lecture 1
International Centre for Theoretical Sciences via YouTube
Bounded Generation of Linear Groups and Diophantine Approximation - Lecture 1
International Centre for Theoretical Sciences via YouTube
Arithmetic Groups of Higher Real Rank Are Not Left-orderable
International Centre for Theoretical Sciences via YouTube