Combinatorial Geometry Courses and Certifications

Harvard CMSA

Spacetime, Quantum Mechanics, and Combinatorial Geometries at Infinity

Delve into advanced theoretical physics concepts as renowned physicist Nima Arkani-Hamed explores the intersection of spacetime, quantum mechanics, and geometric principles at infinity.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Lefschetz, Hodge and Combinatorics - An Account of a Fruitful Cross-Pollination

Explore the profound connections between Lefschetz theory, Hodge theory, and combinatorics through advanced mathematical insights and cross-disciplinary applications.

• YouTube
• 10 hours 41 minutes
• Self-Paced
• Free Video

The Szemeredi-Trotter Theorem - Lecture 8

Explore the Szemeredi-Trotter theorem's sharp solution to discrete projection problems in the plane using topology-based proofs that differ from traditional approaches.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Category Weight Estimates of Minimal Triangulations

Explore LS-category methods for estimating minimal triangulations of manifolds and polyhedra, focusing on lower bounds for vertex counts in space triangulations.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

International Mathematical Union

Isabella Novik - Face Numbers - The Upper Bound Side of the Story

Explore face numbers in simplicial polytopes and sphere triangulations, examining upper bounds, maximizers, and central symmetry implications. Recent developments and open problems are discussed.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Paul G. Allen School

Theory Seminar - Face Numbers, Isabella Novik

Face numbers in centrally symmetric polytopes and spheres: exploring upper bounds, recent developments, and open problems in combinatorial geometry. Insights into maximum face counts and structural properties.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

SAIConference

Exploring the Creative Union of Artificial Intelligence and Pure Mathematics

Explore the fusion of AI and pure mathematics, uncovering how machine learning can predict complex mathematical structures and potentially revolutionize theorem proving and scientific discovery.

• YouTube
• 34 minutes
• Self-Paced
• Free Video

Fields Institute

Toric Varieties Arising from Polygon Dissections

Explore toric varieties derived from polygon dissections, examining their geometric properties and applications in algebraic geometry and combinatorics.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Fields Institute

On the Moment-Angle Manifolds Over Bier Spheres

Explore moment-angle manifolds over Bier spheres in this mathematical talk, delving into advanced concepts in toric topology and polyhedral products.

• YouTube
• 44 minutes
• Self-Paced
• Free Video

Fields Institute

Seeds with Maximal Buchstaber Number

Explore maximal Buchstaber numbers in seeds, delving into advanced concepts in toric topology and polyhedral products during this specialized mathematical presentation.

• YouTube
• 16 minutes
• Self-Paced
• Free Video

BIMSA

From Combinatorics to Real World Scattering - ICBS 2024

Explore combinatorial geometries in QFT and string theory, focusing on a new formulation for scattering of colored scalars, pions, and gluons.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

Commanding Subgroups in Graph Covers and Quasi-Isometric Rigidity - Lecture

Explore finite covers of graphs of spaces/groups, focusing on commanding subgroups in virtually special cubulated groups. Apply concepts to quasi-isometric rigidity.

• YouTube
• 41 minutes
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

CAT(0) Cube Complexes - Lecture 3

Explore CAT(0) cube complexes, their properties, and applications in geometric group theory through an introductory minicourse.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

Notions of Nonpositive Curvature and Groups - Lecture 3

Explore combinatorial and geometric methods in group theory, focusing on small cancellation theory, systolic complexes, and quadric complexes. Discover applications to study groups and unify nonpositively curved spaces.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

CAT(0) Cube Complexes - Lecture 4

Explore advanced concepts in CAT(0) cube complexes, delving into geometric and combinatorial properties of these mathematical structures.

• YouTube
• 58 minutes
• Self-Paced
• Free Video