Grassmannians Courses and Certifications

Centre International de Rencontres Mathématiques

Integration on Grassmannians and Deformed Monotone Hurwitz Numbers

Explore integration on Grassmannians and deformed monotone Hurwitz numbers in this advanced mathematical lecture by Norman Do, delving into complex geometric and probabilistic concepts.

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

Fields Institute

Moduli Spaces of Weighted Pointed Stable Curves and Grassmannians G_n,2

Explore moduli spaces of weighted pointed stable curves and their connections to Grassmannians G_n,2 in this advanced mathematics talk by Svjetlana Terzic from the University of Montenegro.

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

HyperComplex Seminar

Full Set of Invariants Characterizing Sp(n)-Orbits in Real Grassmannians GR(k, 4n)

Explore invariants characterizing Sp(n)-orbits in real Grassmannians GR(k, 4n), focusing on Hermitian quaternionic structures, isoclinic subspaces, and canonical I-decomposition.

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

IMSA

Mather Classes for Cominuscule Grassmannians

Delve into advanced mathematical concepts exploring Mather classes for cominuscule Grassmannians, featuring desingularization of conormal space and Schubert varieties calculations.

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

International Mathematical Union

Evgeny Feigin - PBW Degenerations, Quiver Grassmannians, and Toric Varieties

Explore connections between Lie theory, quiver Grassmannians, and flag variety degenerations, focusing on PBW filtration in highest weight representations and its impact on degenerate flag varieties.

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

Institute for Advanced Study

Baker-Bowler Theory for Lagrangian Grassmannians

Delve into advanced mathematical concepts exploring Baker-Bowler theory's extension to Lagrangian Grassmannians, covering matroid theory, symplectic vector spaces, and cryptomorphic definitions.

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

Fields Institute

Spectral R-matrices from Equivariant Affine Grassmannians

Delve into advanced mathematical concepts exploring spectral R-matrices and their relationship with equivariant affine Grassmannians in quantum field theory and algebraic geometry.

• YouTube
• 1 hour 56 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Augmented Nonlinear Grassmannians as Coadjoint Orbits of Classical Diffeomorphism Groups

Explore advanced mathematical concepts of nonlinear Grassmannians and their relationship to coadjoint orbits, focusing on geometric structures and smooth manifolds in diffeomorphism groups.

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

M-Seminar, Kansas State University

Quantum Algebras and Spectral R-matrices from Equivariant Affine Grassmannians - Part 1

Delve into quantum algebras and spectral R-matrices through equivariant affine Grassmannian geometry, exploring connections to holomorphic-topological twist of 4D N=2 gauge theories.

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

M-Seminar, Kansas State University

Quantum Algebras, Spectral R-matrices from Equivariant Affine Grassmannians - Part 2

Delve into quantum algebras and spectral R-matrices through equivariant affine Grassmannians, exploring Niu's work on quantizations of Yang's r-matrix and their connections to 4D N=2 gauge theories.

• YouTube
• 1 hour 36 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Grassmannians and Discrete KP Flows

Explore Grassmannians and discrete KP flows, clarifying their relationship and integration with continuous hierarchies. Gain insights into recent developments in this mathematical field.

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

International Mathematical Union

Allen Knutson- Schubert Calculus and Quiver Varieties

Explore Schubert calculus, quiver varieties, and their connections through puzzle rules, Yang-Baxter equations, and representation theory in this advanced mathematics lecture.

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

Harvard CMSA

Amplituhedra, Cluster Algebras, and Positive Geometry

Explore cutting-edge connections between amplituhedra, cluster algebras, and positive geometry in quantum field theory through expert lectures and collaborative discussions.

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

BIMSA

The Amplituhedron - Connecting Scattering Amplitudes and Quantum Field Theory

Explore the connection between scattering amplitudes and the Amplituhedron, a novel mathematical concept generalizing convex polytopes into Grassmannians.

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

Centre de recherches mathématiques - CRM

T-Shift on Reduced Plabic Graphs and Legendrian Weaves

Explorez les T-shifts sur les graphes plabiques réduits et les tissages légendrien pour interpréter topologiquement la structure de cluster des strates positroïdes du grassmannien.

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