Torus Courses and Certifications

Let's Code Physics

Gravity Torus - Simulating Orbits Around a Doughnut-Shaped Planet

Explore the unique gravitational effects of a doughnut-shaped planet through simulation, uncovering fascinating orbital dynamics and challenging conventional understanding of planetary physics.

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

Insights into Mathematics

The Two-Holed Torus and 3-Crosscaps Surface - Algebraic Topology - NJ Wildberger

Explore hyperbolic geometric structures of two-holed torus and 3-crosscaps surface through tessellations, hexagons, and the Beltrami Poincare model in this advanced algebraic topology lecture.

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

QuantumTopology

V. Tarkaev - The Complexity of an Infinite Series of Knots in the Thickened Torus

Explore the intricacies of knot theory as V. Tarkaev delves into the complexity of infinite knot series within a thickened torus, offering insights into advanced topological concepts.

• YouTube
• 1 hour 26 minutes
• On-Demand
• Free Video

QuantumTopology

Khovanov Homology for Knots in Thickened Torus

Explore Khovanov homology for knots in thickened torus, delving into advanced topological concepts and their applications in quantum topology.

• YouTube
• 1 hour 35 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Martina Lanini- Attractive Forests and Torus Actions

Explore quiver representations, torus actions on quiver Grassmannians, and their applications in algebraic geometry, focusing on attractive forests and nilpotent representations of equioriented cycles.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

International Mathematical Union

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.

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

QuantumTopology

Connections of Knotoids and Knots in Thickened Torus

Explore connections between knotoids and knots in thickened torus, delving into advanced concepts in quantum topology and geometric knot theory.

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

IMSA

Maximal Torus Actions, Equivariant Principal Bundles and Transverse Equivalence

Explore maximal torus actions, complex manifolds, and irrational fans, delving into their correspondence and connections to canonical foliations in this advanced mathematical lecture.

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

IMSA

Enumerative Geometry and the Quantum Torus

Explore enumerative geometry through tropical curves, pseudotropical curves, and their connection to Lie algebras and quantum torus. Discover innovative approaches to classical counting problems in algebraic geometry.

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

Centre de recherches mathématiques - CRM

Spectral Multiplicity and Nodal Domains of Torus-Invariant Metrics

Explore spectral multiplicity and nodal domains of torus-invariant metrics, examining Uhlenbeck's theorem, symmetry impacts, and unique nodal set properties for non-invariant eigenfunctions.

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

Centre de recherches mathématiques - CRM

Non-standard Orders on Torus Bundles with One Boundary

Explore non-standard bi-orderings of fundamental groups in torus bundles with one boundary, extending Perron-Rolfsen's work on standard orderings and Alexander polynomials.

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

Galileo Galilei Institute

T-duality for Torus Actions with Fixed Points

Explore T-duality in torus actions with fixed points, examining mathematical concepts and their applications in theoretical physics and geometry.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Institut Henri Poincaré

Legendrian Torus and Cable Links

Explore Legendrian torus and cable links, their classification, restrictions, and symmetries using convex surface theory applications.

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

Fields Institute

Torus Orbit Closures in Flag Varieties

Explore torus orbit closures in flag varieties with Eunjeong Lee, delving into advanced mathematical concepts and their applications in toric topology and geometry.

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

Fields Institute

Classification of Locally Standard Torus Actions

Explore the classification of locally standard torus actions in this advanced mathematical talk, delving into complex topological concepts and their applications.

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