Topological Quantum Field Theory Courses and Certifications

BIMSA

Alterfold Theory for TQFT and Topological Orders in All Dimensions

Alterfold理论：从平面代数到高维TQFT和拓扑序的统一框架。探讨2+1维理论,引入Dn代数,构造任意维度TQFT,为研究高维拓扑序提供数学基础。

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

BIMSA

Higher Condensation Theory in Topological Orders

统一的高维缺陷凝聚理论探讨:基于高阶范畴、高阶代数和高阶表示,解释拓扑序中各维度缺陷凝聚的数学理论,推广已知的2+1维anyons凝聚理论。

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

BIMSA

Topological Defect Lines and TQFTs

Exploración de líneas de defectos topológicos y teorías cuánticas de campos topológicas, con énfasis en aplicaciones en teoría de cuerdas y física teórica.

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

BIMSA

Gauge Fields and Categorification of Quantum Group Invariants of 3-Manifolds

Новые инварианты зацеплений и 3-многообразий, связанные с модулями Вермы U_q(sl_N). Обсуждение категорификации и построения гомологий 3-многообразий.

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

BIMSA

P-Form Symmetries in Functorial Quantum Field Theory

Implementación de simetrías p-forma en teoría cuántica de campos topológica mediante cohomología en variedades con borde, permitiendo corte y pegado consistente.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

BIMSA

Alterfold Topological Quantum Field Theory

探讨拓扑量子场论与拓扑序的发展，阐述注入式基态与TQFT的关系，建立TQFT与构造性量子场论的概念联系。

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

International Centre for Theoretical Sciences

Introduction to Contact Geometry by Dheeraj Kulkarni

Explore contact geometry fundamentals, including Frobenius theorem, contactomorphisms, and Gray stability theorem. Learn about symplectic structures and their relation to contact manifolds.

• YouTube
• 1 hour 27 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Quantization, Gauge Theory, and the Analytic Approach to Geometric by Edward Witten

Explore quantization, gauge theory, and geometric analysis with renowned physicist Edward Witten in this advanced lecture on the intersection of quantum field theory and geometric representation theory.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

IMSA

BPS States and 3d TQFTs

Explore the connection between BPS state counting in string theory and new 3-manifold invariants, examining recent progress and relationships with familiar topological quantum field theories.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

QuantumTopology

Re Normalized TQFTs

Explore re-normalized Topological Quantum Field Theories with Nathan Geer, delving into advanced concepts in quantum topology and mathematical physics.

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

QuantumTopology

The Basics of TQFT

Explore the fundamental principles of Topological Quantum Field Theory (TQFT) in this comprehensive lecture, covering key concepts and applications in quantum topology.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Monica Vazirani- Representations of the Affine BMW Category

Explore Walker's TQFT-motivated construction of affine BMW category representations, their combinatorial description, and implications for affine BMW algebra representations in this advanced mathematics lecture.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

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

Explore advanced TQFTs, non-semisimple modular categories, and modified traces in topology. Learn about cutting-edge techniques for studying 3-manifolds and mapping class group representations.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

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