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Concept

Discrete group

Related lectures (26)

Proper Actions and Quotients

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Dynamics on Homogeneous Spaces and Number Theory

Covers dynamical systems on homogeneous spaces and their interactions with number theory.

Conformal Field Theory Basics

Covers the basics of Conformal Field Theory, focusing on Large N CFTs and correlation functions.

Local structure of totally disconnected locally compact groups I

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Lattices: Properties and Theta Functions

Explores lattices in Rd, Gram matrices, theta functions, and modular properties.

Quantum Field Theory II: Cross Section & Lifetime

Covers cross section, lifetime, quantum fluid, asymptotic states, discrete symmetries, and normal ordering in quantum field theory.

Open Mapping Theorem

Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.

Image manipulations: Affine transforms and Interpolation

Covers affine transforms, rotation, shear, and bilinear interpolation for image manipulations.

Advanced Numerical Analysis: Space Discretization

Explores advanced space discretization techniques in numerical analysis for solving differential systems efficiently and accurately.

Thermodynamical Formalism and Martin Boundary

Explores SFT, top mixing, Hölder functions, and equilibrium in geodesic flows.

Homotopy Lifting

Explains homotopy lifting, paths, proofs, constant paths, discrete spaces, and monomorphisms.

Dynamical Approaches to Spectral Theory of Operators

Explores dynamical approaches to the spectral theory of operators, focusing on self-adjoint operators and Schrödinger operators with dynamically defined potentials.

Adjunctions and Limits: Exploring Functors and Co-limits

Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.

Local structure of totally disconnected locally compact groups III

Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.

Local structure of totally disconnected locally compact groups II

Explores the local structure of totally disconnected locally compact groups, covering commensurated subgroups, completions, local automorphisms, and the quasi-centre.

Automorphism groups of trees and graphs

Explores automorphisms of graphs, focusing on automorphism groups, Cayley-Abels graphs, and quasi-isometry.

Discrete Symmetries: Introduction

Introduces discrete symmetries in Quantum Field Theory and discusses their implications in nature and interactions.

Spectral Analysis: Hyperbolic Surfaces Log in to Mediaspace to watch this video

Explores the spectral analysis of hyperbolic surfaces through the trace formula and its applications in understanding geometric and spectral properties.

Spectrum of Hyperbolic Surfaces Log in to Mediaspace to watch this video

Explores the spectrum of hyperbolic surfaces, focusing on Fuchsian groups and their actions.

Minkowski's Theorems: Lattices and Volumes Log in to Mediaspace to watch this video

Explores Minkowski's theorems on lattices, volumes, and set comparisons.