Mapping Class Group Courses and Certifications

NCCR SwissMAP

Extensions of 1-Cocycles of the Mapping Class Group to the Ptolemy Groupoid

Explore extensions of 1-cocycles from mapping class groups to Ptolemy groupoids, delving into algebraic topology and Grothendieck-Teichmüller theory.

• YouTube
• 51 minutes
• On-Demand
• Free Video

IMSA

On the Nielsen Realization Problem and Cohomology of Mapping Class Groups of Non-orientable Surfaces

Exploración del problema de realización de Nielsen y cohomología de grupos de clases de mapeo en superficies no orientables, con aplicaciones en topología y teoría de grupos.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Joint Mathematics Meetings

Mixing Surfaces, Algebra, and Geometry

Explore the interplay of surfaces, algebra, and geometry through Mirzakhani's theorem, taffy pullers, and mapping class groups in this engaging mathematical journey.

• YouTube
• 51 minutes
• On-Demand
• Conference Talk

Hausdorff Center for Mathematics

TQFTs from Non-Semisimple Modular Categories and Modified Traces - Marco de Renzi

Explore non-semisimple TQFTs and modified traces in topology, focusing on construction methods, invariants, and mapping class group representations derived from modular categories.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

TQFTs from Non-Semisimple Modular Categories and Modified Traces - Lecture I

Explore advanced topological quantum field theories, focusing on non-semisimple constructions and modified traces for powerful invariants and mapping class group representations.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

IMSA

On Mapping Class Groups of Non-Orientable Surfaces

Exploración de grupos de clases de mapeo en superficies no orientables, abordando el problema de realización de Nielsen y la periodicidad p, con aplicaciones en cohomología de Farrell.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Fields Institute

Yang-Baxter Elements and a New Proof of Homological Stability for the Mapping Class Group of Surfaces

Explores Yang-Baxter elements in monoidal categories, introducing a novel approach to prove homological stability for surface mapping class groups using semi-simplicial sets and bimarked surfaces.

• YouTube
• 50 minutes
• On-Demand
• Free Video

IMSA

On Mapping Class Groups of Non-Orientable Surfaces

Exploración de la estructura y cohomología de grupos de clases de mapeo en superficies no orientables, incluyendo resultados recientes sobre el plano proyectivo y la botella de Klein.

• YouTube
• 54 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Mapping Classes and Moduli Spaces of K3 Manifolds

Explores mapping classes of K3 manifolds using moduli spaces, focusing on unipotent actions on cohomology and K3 surfaces fibered into genus one curves.

• YouTube
• 59 minutes
• On-Demand
• Free Video

NCCR SwissMAP

Top Weight Cohomology of M_{g,n} and the Handlebody Group

Explore top weight cohomology of M_{g,n} and its connection to the handlebody group in this advanced mathematical lecture on algebraic topology and Grothendieck-Teichmüller theory.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

A Skein Theoretic Approach to CFT Correlators - Part 1 of 3

Explore complex CFT, vertex algebras, and algebraic structures in this comprehensive lecture on skein theoretic approaches to correlators in conformal field theory.

• YouTube
• 1 hour 53 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

On the Geometry of Extensions of Free Groups

Explore geometric group theory's advancements, focusing on free group extensions. Gain insights from experts through minicourses and collaborative research in this intensive workshop.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Ricci Curvature, Fundamental Group and the Milnor Conjecture - Part 2

Explore advanced geometric topology concepts, focusing on counterexamples to the Milnor conjecture, topological constructions, and asymptotic cones in relation to known restrictions.

• YouTube
• 57 minutes
• On-Demand
• Free Video