Anosov Flows on 3-Manifolds
Dive into Anosov flows on 3-manifolds, exploring their chaotic yet stable nature, classification challenges, and recent advancements in low-dimensional geometric topology.
Models for Dynamical Systems in Dimensions 1 and 2 - Lecture 1
Explore dynamical systems in 1D and 2D, focusing on Milnor-Thurston's theorem and its potential 2D analog for surface diffeomorphisms. Delve into connections with Teichmüller Theory and 3-manifold topology.
Models for Dynamical Systems in Dimensions 1 and 2 - Lecture 3
Explore dynamical systems in 1D and 2D, focusing on Milnor-Thurston's theorem and its potential 2D analogue for surface diffeomorphisms. Delve into connections with Teichmüller Theory and 3-manifold topology.
Models for Dynamical Systems in Dimensions 1 and 2 - Lecture 2
Explore models for dynamical systems in 1D and 2D, focusing on Milnor-Thurston's theorem and its potential 2D analogue for surface diffeomorphisms.
Dynamics to Geometry in Free-by-Cyclic Groups - Lecture 3
Explorez les liens entre dynamique, algèbre et géométrie dans les groupes libres-par-cycliques. Découvrez les résultats récents et les problèmes ouverts dans ce domaine inspiré par les travaux de Thurston.
Dynamics to Geometry in Free-by-Cyclic Groups - Lecture 2
Explore dynamics and geometry in free-by-cyclic groups, focusing on automorphisms, semi-direct products, and their interplay with Thurston's work on surface homeomorphisms and 3-manifolds.
Dynamics to Geometry in Free-by-Cyclic Groups - Part I
Explore the interplay between automorphism dynamics, algebraic properties, and coarse geometry in free-by-cyclic groups, drawing inspiration from Thurston's work on surface homeomorphisms and 3-manifolds.
Algebraization of Low-Dimensional Topology - Part I
Explore algebraic presentations of cobordism categories in low-dimensional topology. Learn about 3- and 4-modular Hopf algebras and their role in classifying TQFTs.
Complex Dynamics in the Tropics - Structures on 2- and 3-Manifolds Coming from Dynamical Systems
Explore complex dynamics in the tropics, focusing on structures in 2- and 3-manifolds derived from dynamical systems. Gain insights into multimodal maps, hyperbolic groups, and related mathematical concepts.
From Turaev to Rokhlin via VOA Characters and Curve Counting
Explore q-series invariants of 3-manifolds, their properties, and connections to topology, vertex algebras, and enumerative problems. Gain insights into Spin-C structures and related mathematical concepts.
Bounds on Morse-Novikov Numbers of 3-Manifolds
Explore bounds on Morse-Novikov numbers of 3-manifolds, examining circle-valued Morse functions and their critical points, with applications to knot theory and topology.
From Turaev to Rokhlin via VOA Characters and Curve Counting
Explore q-series invariants of 3-manifolds, their properties, and connections to topology, vertex algebras, and enumerative problems. Gain insights into recent developments in this mathematical field.
From Knots to Number Theory II
Explore connections between quantum knot invariants and number theory, covering topics like hyperbolic topology, Kashaev invariant, and quantum modularity. No prior knowledge required.
Slope Detection in 3-Manifolds
Explore key concepts in 3-manifold topology, including slope detection, Lagrangian theory, and foliations. Learn about conjectures, theorems, and algorithms in this advanced mathematical field.
Instantons, Suspension, and Surgery - Part 1
Explore Dehn surgery number in 3-manifolds, using mod 2 instanton homology and Froyshov's q_3 invariant to prove existence of integer homology 3-spheres with arbitrarily large surgery numbers.
Braidings and Braid Equivalences
Explore braiding algorithms and braid equivalences for various knot types, including classical, virtual, and singular, with a focus on knotoids and braidoids.
Jacob Rasmussen - Floer Homology of 3-Manifolds with Torus Boundary
Explore advanced concepts in Floer homology, focusing on 3-manifolds with torus boundary. Gain insights into cutting-edge mathematical research and its applications in topology.
From Knots to Number Theory I
Explore connections between quantum knot invariants and number theory, covering hyperbolic topology, Kashaev invariant, and quantum modularity. No prior knowledge required.
Stable Maps and Branched Shadows of 3-Manifolds
Explore stable maps and branched shadows in 3-manifolds, delving into advanced concepts in quantum topology and geometric structures.
Ph. Korablev - Skein-Invariants of 3-Manifolds
Explore skein-invariants of 3-manifolds in this advanced topology lecture, delving into complex mathematical concepts and their applications in quantum topology.
Calculation of Casson Invariant for 3-Manifolds
Explore the calculation methods for Casson invariant in 3-manifolds, a crucial topological invariant in low-dimensional topology and knot theory.