Discrete geometry. Abstracts from the workshop held January 21--26, 2024

DOI10.4171/OWR/2024/3zbMATH Open1546.00042MaRDI QIDQ6613406

Author name not available (Why is that?)

Publication date: 2 October 2024

Published in: Oberwolfach Reports (Search for Journal in Brave)

Mathematics Subject Classification ID

Discrete geometry (52Cxx) Proceedings of conferences of miscellaneous specific interest (00B25) Collections of abstracts of lectures (00B05) Proceedings, conferences, collections, etc. pertaining to convex and discrete geometry (52-06) Polytopes and polyhedra (52Bxx)

Cites Work

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• The Extremal Number of Surfaces
• A Note on Universal Point Sets for Planar Graphs
• COMBINATORIAL APPLICATIONS OF THE HODGE–RIEMANN RELATIONS
• Shellability is NP-complete
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• A Generalization of Radon's Theorem
• Pushing squares around
• Convex Bodies The Brunn-MinkowskiTheory
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• Lower Bounds for Approximation by Nonlinear Manifolds
• Subfunction Structure
• Planar point sets with a small number of empty convex polygons
• Simple Homotopy Types
• On a Problem of Heilbronn
• Monotonic Subsequences
• A Theorem on General Measure
• Integral distances
• Integral distances
• Covering a Three-Dimensional set with Sets of Smaller Diameter
• Simplicial homeomorphs and trace-bounded hypergraphs
• On Universal Point Sets for Planar Graphs
• On a theorem of Erdős and Szekeres
• An exponential bound for simultaneous embeddings of planar graphs
• Enclosing depth and other depth measures
• The extremals of the Alexandrov-Fenchel inequality for convex polytopes
• On a colorful problem by Dol'nikov concerning translates of convex bodies
• The extremals of Stanley's inequalities for partially ordered sets
• A solution to Ringel's circle problem
• Shellability is hard even for balls
• Convex hulls of random order types
• On higher-dimensional point sets in general position
• On some unsolved problems in elementary geometry
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• Improved enumeration of simple topological graphs
• On high-dimensional acyclic tournaments
• \(k\)-fold Sidon sets
• An upper bound on the number of high-dimensional permutations
• Hypergraph containers
• Ball polytopes and the Vázsonyi problem
• Tverberg-type theorems for intersecting by rays
• Projective center point and Tverberg theorems
• A generalization of Hadwiger's transversal theorem to intersecting sets
• Necessary and sufficient conditions for hyperplane transversals
• Monotonicity
• On simultaneous planar graph embeddings
• How many ways can one draw a graph?
• No-three-in-line-in-3D
• There are integral heptagons, no three points on a line, no four on a circle
• A new proof of Vázsonyi's conjecture
• Convex subdivisions with low stabbing numbers
• Filling Riemannian manifolds
• The complexity of cutting complexes
• Two combinatorial applications of the Aleksandrov-Fenchel inequalities
• Problems, problems, problems
• Piercing convex sets and the Hadwiger-Debrunner \((p,q)\)-problem
• Some advances in the no-three-in-line problem
• Combinatorial problems on the existence of large submatrices. I
• Every planar map is four colorable. I: Discharging
• Every planar map is four colorable. II: Reducibility
• Finite three-dimensional partial orders which are not sphere orders
• Depth in an arrangement of hyperplanes
• Progress in the no-three-in-line problem. II
• Shelling polyhedral 3-balls and 4-polytopes
• Note on integral distances
• Zur Grundlegung der kombinatorischen Topologie.
• Über die durch reguläre Polyeder nicht stützbaren Körper.
• Vraagstuk XXVIII.
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• Volumen und Oberfläche.
• Neighborly cubical polytopes
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• A discrete version of Koldobsky's slicing inequality
• Meissner polyhedra
• The Borsuk partition problem: the seventieth anniversary
• Lexicographic Ramsey theory
• Enumerating order types for small point sets with applications
• Almost disjoint triangles in 3-space
• Transversal numbers for hypergraphs arising in geometry
• On counting point-hyperplane incidences
• On depth and deep points: A calculus.
• Regression depth and center points.
• On the multiple Borsuk numbers of sets
• Radon numbers and the fractional Helly theorem
• A note on the Erdős-Szekeres theorem in two dimensions
• An almost constant lower bound of the isoperimetric coefficient in the KLS conjecture
• Shellings from relative shellings, with an application to NP-completeness
• A universal exponent for homeomorphs
• Bounds on the lattice point enumerator via slices and projections
• Filling metric spaces
• The extremals of Minkowski's quadratic inequality
• Arcs in \(\mathbb{F}_q^2\)
• Further consequences of the colorful Helly hypothesis
• The right acute angles problem?
• The graphs behind reuleaux polyhedra
• The dimension growth conjecture, polynomial in the degree and without logarithmic factors
• Lorentzian polynomials
• On weak \(\epsilon\)-nets and the Radon number
• Large cliques in hypergraphs with forbidden substructures
• Triangle-free geometric intersection graphs with no large independent sets
• A superlinear lower bound on the number of 5-holes
• Moser's shadow problem
• On a problem by Dol'nikov
• Slicing inequalities for measures of convex bodies
• Homomorphieeigenschaften und mittlere Kantendichte von Graphen
• On the existence of triangulated spheres in 3-graphs, and related problems
• Zur Theorie der gemischten Volumina von konvexen Körpern. II: Neue Ungleichungen zwischen den gemischten Volumina und ihre Anwendungen.
• Kontaktprobleme der konformen Abbildung.
• A combinatorial problem in geometry.
• Drei Sätze über die \(n\)-dimensionale euklidische Sphäre.
• The number of integral points on arcs and ovals
• Beweis einer Vermutung von H. Minkowski
• A multidimensional generalization of the Erdős-Szekeres lemma on monotone subsequences.
• Volumes of balls in Riemannian manifolds and Uryson width
• Animal Testing
• Some old and new problems in combinatorial geometry I: around Borsuk's problem
• The Area of a Nonparametric Surface
• On a Coloring Problem.
• Colorings of Circles
• The Mathematical Coloring Book
• No l Grid-Points in Spaces of Small Dimension
• A short proof of Gromov's filling inequality
• The complexity of temporal constraint satisfaction problems
• Dual theorems on central points and their generalizations

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