Stanford Lecture - Don Knuth - "A Conjecture That Had To Be True"
Donald Knuth explores a fascinating problem in combinatorial geometry, presenting an intriguing formula and its unexpected universal application, showcasing the beauty of mathematical discovery.
Degeneration of Singular Circle Patterns
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.
The Isomorphism Problem for Artin Groups
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.
Graphs with Convex Balls: Characterization and Applications - Workshop Lecture
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.
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.
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.
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.
The Geometry of Geometries - Matroid Theory, Old and New
Explore matroid theory's origins, connections, and recent geometric advances in combinatorial mathematics, highlighting matroid polytope, Bergman fan, and conormal fan models.
Combinatorial Geometry Workshop - Lecture by Dasha Poliakova
Explore combinatorial geometry in this workshop, delving into advanced concepts and techniques with expert guidance from Dasha Poliakova of SDU Denmark.
Combinatorial Geometry Workshop - Lecture by Paul Bressel
Explore combinatorial geometry concepts in this workshop led by Paul Bressel. Gain insights into advanced mathematical techniques and their applications in geometric problem-solving.
Learning Short Proofs for Counting Planar Lattice Triangulations
Explore innovative techniques for generating concise proofs in counting planar lattice triangulations, blending mathematical theory with machine learning approaches.
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.
Toric Varieties Arising from Polygon Dissections
Explore toric varieties derived from polygon dissections, examining their geometric properties and applications in algebraic geometry and combinatorics.
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.
Realization Spaces of Polytopes and Oriented Matroids
Explore realization spaces of polytopes and oriented matroids in this advanced mathematical lecture by Arnau Padrol at CIRM's thematic meeting.
Notions of Nonpositive Curvature and Groups - Lecture 1
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.
Geometric Approaches to Artin Groups
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.
From Braid Groups to Artin Groups - Lecture 1
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.
Old and New Developments on the Erdos-Szekeres Convex Polygon Problem
Explore old and new developments in the Erdos-Szekeres convex polygon problem, gaining insights into this fascinating mathematical challenge.
Coxeter Groups are Biautomatic - Workshop on Cube Complexes and Combinatorial Geometry
Explore the biautomaticity of Coxeter groups and its implications for uniform lattices in building isometry groups. Gain insights from recent mathematical research.
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.