Grassmannians Courses and Certifications

Centre de recherches mathématiques - CRM

Newton-Okounkov Bodies and Minimal Models for Cluster Varieties

Explore Newton-Okounkov bodies construction for line bundles on cluster variety minimal models, with applications to Grassmannians and flag varieties. Examine connections to representation theory polytopes.

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

Centre de recherches mathématiques - CRM

The Deep Locus of Cluster Varieties

Explore the deep locus of cluster varieties, focusing on finite types with full rank and specific infinite types. Gain insights into applications for homological mirror symmetry of Grassmannians.

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

Institute for Pure & Applied Mathematics (IPAM)

The Nil-Brauer Category - Categorification and Applications

Exploration of the nil-Brauer category, its relation to quantum groups, and applications in categorification and Soergel bimodules, presented by Jonathan Brundan at IPAM's workshop.

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

Hausdorff Center for Mathematics

Moduli of Bundles in Low Genus, Coble Hypersurfaces and Degeneracy Loci

Explore the geometry of moduli spaces for semistable bundles, focusing on Coble hypersurfaces and their connections to Abelian varieties, K3 surfaces, and cubic fourfolds.

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

Galileo Galilei Institute

Topology of the 2-Loop Amplituhedron

Explore the intricate topology of the 2-loop amplituhedron, delving into advanced concepts in theoretical physics and mathematical structures.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

The Amplituhedron from Fibrations of Fibrations

Explore the intricate mathematical concept of the Amplituhedron through advanced fibration techniques in this theoretical physics lecture.

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

Institut des Hautes Etudes Scientifiques (IHES)

Canonical Grothendieck Polynomials with Free Fermions

Explore canonical Grothendieck polynomials using free fermions, generalizing Schur functions and deriving identities through matrix elements and Wick's theorem.

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

Fields Institute

On Integral Cohomology of Weighted Grassmann Orbifolds

Explore integral cohomology of weighted Grassmann orbifolds in this advanced mathematics talk, delving into complex topological structures and their properties.

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

Centre International de Rencontres Mathématiques

Cluster Algebras and the Amplituhedron - Definition - Lecture 1

Explore cluster algebras and the amplituhedron definition with Lauren K. Williams in this advanced mathematics conference talk from CIRM's Audiovisual Mathematics Library.

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

Institute for Advanced Study

Gröbner Objects in Schubert Calculus

Explore Gröbner objects and their applications in Schubert calculus, delving into advanced algebraic geometry concepts.

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

Institute for Advanced Study

Scattering Amplitudes, Multi-variate Residues and Valuated Matroids

Delve into scattering amplitudes, exploring multi-variate residues on Grassmannians and moduli spaces. Uncover connections between physical problems and geometric combinatorics.

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

BunG Seminar

Non-Abelian Poincaré Duality - Talk 33

Delve into non-abelian Poincaré duality, exploring its relationship between l-adic homology of BunG and Beilinson-Drinfeld Grassmannian, featuring Drinfeld's simplified proof approach.

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

Institut des Hautes Etudes Scientifiques (IHES)

Cluster Structures on Kinematic Spaces - Particle Scattering and Flag Varieties

Delve into advanced particle physics concepts, exploring cluster structures in kinematic spaces through spinor helicity formalism and momentum twistor coordinates for modeling massless particle scattering.

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

Institute for Advanced Study

Standard Monomials for Positroid Varieties

Delve into advanced mathematical concepts of positroid varieties, exploring Hodge's approach, Gröbner bases, and their applications in studying Grassmannian subvarieties through combinatorial descriptions and symmetry patterns.

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

Institute for Advanced Study

Singular Points on Positroid Varieties and Physics Applications

Delve into positroid varieties, their singularity criteria, and connections to physics through affine pipe dreams and plabic diagrams, with applications to BCFW bridge decomposition.

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