Torus Actions Courses and Certifications

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

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

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

Fields Institute

Lifting Torus Actions to Integrable Systems

Explore the mathematical concept of lifting torus actions to integrable systems, delving into advanced topics in Hamiltonian geometry and dynamical systems.

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

NCCR SwissMAP

Lifting Hamiltonian Torus Actions to Integrable Systems

Explore finite dimensional integrability in mathematical physics, focusing on lifting Hamiltonian torus actions to integrable systems.

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

Centre International de Rencontres Mathématiques

Resolution of Foliated Varieties by Torus Actions - A Desingularization Approach

Delve into advanced mathematical concepts of resolving singular foliations through torus actions, focusing on principalization of ideals and desingularization of Darboux totally integrable foliations.

• YouTube
• 53 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

T-Duality With Fixed Points

Explore T-duality's mathematical framework, focusing on symmetries between quantum field theories and its application to torus actions with fixed points using elliptic tangent bundles.

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

IMSA

Deformation Theory for Finite Cluster Complexes

Explore geometric relationships between cluster varieties and complexes, focusing on finite cluster types with universal coefficients and their connection to Hilbert schemes via torus actions.

• YouTube
• 59 minutes
• 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

Isaac Newton Institute for Mathematical Sciences

Moduli Problems and Abelianization in Algebraic and Differential Geometry

Explore moduli spaces in algebraic and differential geometry, focusing on abelianization processes for parametrizing structures with internal symmetries. Gain insights into classical moduli problems.

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

Fields Institute

Symplectic Geometry and Quantization - Blitz Session

Explore advanced topics in symplectic geometry and quantization through four concise talks on stratified quantization, complex Lagrangian Grassmannians, integral Chang-Skjelbred computations, and symplectic circle actions.

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

Fields Institute

The Equivariant Cohomology of Hamiltonian T-Spaces of Complexity One

Explore equivariant cohomology in Hamiltonian T-spaces, focusing on complexity one systems and their geometric properties in this advanced mathematical lecture.

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

M-Seminar, Kansas State University

Hyperbolic Localization in Donaldson-Thomas Theory - Part 1 of 3

Explore hyperbolic localization functors in Donaldson-Thomas theory, connecting Białynicki-Birula decompositions with vanishing cycles on Calabi-Yau threefold moduli spaces.

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

Institute for Advanced Study

Log-concavity of Polynomials Arising from Equivariant Cohomology

Explore the log-concavity properties of polynomials in equivariant cohomology, focusing on torus-equivariant subvarieties of matrix spaces and their connection to Aluffi's covolume polynomials.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video