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#Combinatorial Geometry

Showing: 37 courses
Stanford University

Stanford Lecture - Don Knuth - "A Conjecture That Had To Be True"

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Donald Knuth explores a fascinating problem in combinatorial geometry, presenting an intriguing formula and its unexpected universal application, showcasing the beauty of mathematical discovery.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
BIMSA

Degeneration of Singular Circle Patterns

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Explore singular Euclidean circle patterns, cone-angle maps, and degeneration schemes. Analyze the structure of cone-angle polytopes and their relationship to admissible partial edge orientations.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

The Isomorphism Problem for Artin Groups

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Explorez le problème d'isomorphisme pour les groupes d'Artin, en particulier pour les groupes de "grand type". Découvrez les défis, les conjectures et les résultats partiels dans ce domaine mathématique complexe.
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1 Lesons
58 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Graphs with Convex Balls: Characterization and Applications - Workshop Lecture

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Explorez la caractérisation et les propriétés des graphes à boules convexes, leur lien avec les complexes contractiles et les groupes biautomatiques dans cette présentation mathématique approfondie.
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12 Lesons
55 minutes
On-Demand
Free-Video
Paul G. Allen School

Theory Seminar - Face Numbers, Isabella Novik

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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.
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9 Lesons
55 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Category Weight Estimates of Minimal Triangulations

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Explore LS-category methods for estimating minimal triangulations of manifolds and polyhedra, focusing on lower bounds for vertex counts in space triangulations.
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10 Lesons
50 minutes
On-Demand
Free-Video
International Mathematical Union

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

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Explore face numbers in simplicial polytopes and sphere triangulations, examining upper bounds, maximizers, and central symmetry implications. Recent developments and open problems are discussed.
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18 Lesons
47 minutes
On-Demand
Free-Video
International Mathematical Union

The Geometry of Geometries - Matroid Theory, Old and New

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Explore matroid theory's origins, connections, and recent geometric advances in combinatorial mathematics, highlighting matroid polytope, Bergman fan, and conormal fan models.
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1 Lesons
46 minutes
On-Demand
Free-Video
IMSA

Combinatorial Geometry Workshop - Lecture by Dasha Poliakova

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Explore combinatorial geometry in this workshop, delving into advanced concepts and techniques with expert guidance from Dasha Poliakova of SDU Denmark.
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1 Lesons
44 minutes
On-Demand
Free-Video
IMSA

Combinatorial Geometry Workshop - Lecture by Paul Bressel

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Explore combinatorial geometry concepts in this workshop led by Paul Bressel. Gain insights into advanced mathematical techniques and their applications in geometric problem-solving.
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1 Lesons
58 minutes
On-Demand
Free-Video
IMSA

Learning Short Proofs for Counting Planar Lattice Triangulations

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Explore innovative techniques for generating concise proofs in counting planar lattice triangulations, blending mathematical theory with machine learning approaches.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Fields Institute

Seeds with Maximal Buchstaber Number

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Explore maximal Buchstaber numbers in seeds, delving into advanced concepts in toric topology and polyhedral products during this specialized mathematical presentation.
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1 Lesons
16 minutes
On-Demand
Free-Video
Fields Institute

Toric Varieties Arising from Polygon Dissections

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Explore toric varieties derived from polygon dissections, examining their geometric properties and applications in algebraic geometry and combinatorics.
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1 Lesons
46 minutes
On-Demand
Free-Video
Fields Institute

On the Moment-Angle Manifolds Over Bier Spheres

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Explore moment-angle manifolds over Bier spheres in this mathematical talk, delving into advanced concepts in toric topology and polyhedral products.
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1 Lesons
44 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Realization Spaces of Polytopes and Oriented Matroids

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Explore realization spaces of polytopes and oriented matroids in this advanced mathematical lecture by Arnau Padrol at CIRM's thematic meeting.
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1 Lesons
59 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Notions of Nonpositive Curvature and Groups - Lecture 1

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Explorez les notions de courbure non positive et leur application à la théorie des groupes, en mettant l'accent sur les méthodes combinatoires et géométriques classiques.
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1 Lesons
43 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Geometric Approaches to Artin Groups

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Explore geometric approaches to Artin groups, focusing on constructing group actions on spaces with CAT(0), hyperbolic, or systolic geometries. Gain insights into recent progress and parabolic subgroups.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

From Braid Groups to Artin Groups - Lecture 1

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Explore Artin groups, including braid groups and free groups. Discover algebraic and geometric characterizations, current knowledge, and new approaches to challenging problems in this field.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
BIMSA

Old and New Developments on the Erdos-Szekeres Convex Polygon Problem

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Explore old and new developments in the Erdos-Szekeres convex polygon problem, gaining insights into this fascinating mathematical challenge.
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1 Lesons
46 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Coxeter Groups are Biautomatic - Workshop on Cube Complexes and Combinatorial Geometry

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Explore the biautomaticity of Coxeter groups and its implications for uniform lattices in building isometry groups. Gain insights from recent mathematical research.
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1 Lesons
1 hour
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

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

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Explore finite covers of graphs of spaces/groups, focusing on commanding subgroups in virtually special cubulated groups. Apply concepts to quasi-isometric rigidity.
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1 Lesons
41 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

CAT(0) Cube Complexes - Lecture 3

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Explore CAT(0) cube complexes, their properties, and applications in geometric group theory through an introductory minicourse.
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8 Lesons
55 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Notions of Nonpositive Curvature and Groups - Lecture 3

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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.
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1 Lesons
54 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

CAT(0) Cube Complexes - Lecture 4

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Explore advanced concepts in CAT(0) cube complexes, delving into geometric and combinatorial properties of these mathematical structures.
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1 Lesons
58 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Notions of Nonpositive Curvature and Groups - Lecture 4

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Explore advanced concepts in nonpositive curvature and group theory, focusing on combinatorial and geometric methods, small cancellation theory, and applications to systolic and quadric complexes.
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1 Lesons
48 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Hyperbolicity from Walls - Group Actions on Hyperbolic Spaces

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Explore hyperbolicity in group theory through actions on hyperbolic spaces. Learn about Sageev's construction and its applications in mathematical research.
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9 Lesons
45 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Finitely Generated Normal Subgroups of RAAGs

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Explore finitely generated normal subgroups of Right-Angled Artin Groups (RAAGs) in this mathematical deep dive into CAT(0) cube complexes.
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1 Lesons
43 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Effective Rank-Rigidity in CAT(0) Cube Complexes

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Explore CAT(0) cube complexes and rank-rigidity, examining uniform flipping and skewering techniques to determine group actions and geometric properties.
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1 Lesons
1 hour
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

An Invitation to the Lifting Decomposition in CAT(0) Cube Complexes

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Explorez la décomposition de levage dans les complexes cubiques CAT(0), ses applications et connexions avec diverses frontières, offrant de nouvelles perspectives en géométrie combinatoire.
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1 Lesons
49 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

A Combinatorial Characterization of Geometric 3-Manifolds - Lecture

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Explore geometric 3-manifolds through combinatorial characterization, focusing on Thurston geometries and their local combinatorial definitions. Learn about new algorithms for geometric decomposition.
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1 Lesons
52 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Notions of Nonpositive Curvature and Groups - Lecture 2

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Explorez les théories de petite simplification et leurs liens avec les complexes systoliques et quadriques. Découvrez comment ces espaces combinatoires à courbure non positive s'appliquent à l'étude des groupes.
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1 Lesons
50 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

CAT(0) Cube Complexes - Lecture 2

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Explore advanced concepts of CAT(0) cube complexes, building on fundamental principles to deepen understanding of geometric and combinatorial properties.
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1 Lesons
55 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

CAT(0) Cube Complexes - Lecture 1

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Explore CAT(0) cube complexes in this introductory minicourse, delving into fundamental concepts and applications in geometric group theory.
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1 Lesons
55 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Architectural Constraints on Recurrent Network Dynamics

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Explore how network architecture influences and constrains dynamics in recurrent neural networks, focusing on threshold-linear models and their implications for understanding connectomes in neural computation.
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1 Lesons
58 minutes
On-Demand
Free-Video
BIMSA

From Combinatorics to Real World Scattering - ICBS 2024

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Explore combinatorial geometries in QFT and string theory, focusing on a new formulation for scattering of colored scalars, pions, and gluons.
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1 Lesons
54 minutes
On-Demand
Free-Video
SAIConference

Exploring the Creative Union of Artificial Intelligence and Pure Mathematics

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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.
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14 Lesons
34 minutes
On-Demand
Free-Video
Institute for Advanced Study

Twisted (Co)homology of Matroids and Hyperplane Arrangement Complements

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Delve into advanced mathematical concepts exploring twisted (co)homology, hyperplane arrangements, and matroidal pairings, with applications to scattering amplitudes in physics.
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1 Lesons
1 hour 51 minutes
On-Demand
Free-Video