Convex Sunflower Theorems and Neural Codes
Explore convex sunflower theorems and neural codes, connecting neuroscience with discrete geometry to understand place cell encoding and cognitive mapping in rat hippocampus.
The Discrete Charm of Geometry by Alexander Bobenko
Explore the fascinating world of discrete geometry and its applications in architecture, computer graphics, and physics. Discover structure-preserving discretizations through simple examples and stunning visuals.
Topological Methods in Discrete Geometry - New Developments
Explores recent advancements in topological methods for discrete geometry, focusing on configuration spaces in cooperative game theory and their connections to embedding problems in Euclidean spaces.
Rips Complexes, Projective Codes, and Zeros of Odd Maps
Explore connections between Rips complexes, projective codes, and odd map zeros, bridging discrete geometry and topology. New insights into sphere Rips complexes' challenging nature.
Discrete Minimizers of Energy Integrals
Explore the intriguing phenomenon of discrete minimizers in energy integral optimization, its counterintuitive nature, and applications in various fields of mathematics and signal processing.
Challenges in Discrete Geometry - Part I- Convex Polytopes
Explore convex polytopes, from Euler's formula to modern combinatorial results. Discover connections to other mathematical areas and intriguing open problems in discrete geometry.
Structure of Communication - Richard M. Karp Distinguished Lecture
Explore communication complexity, its applications, and structural conjectures in theoretical computer science with Shachar Lovett. Gain insights into efficient communication and its connections to various mathematical domains.
Topological Methods in Discrete Geometry
Explore topological applications in discrete geometry, focusing on mass partitions and Helly-type theorems. Learn about classical results and recent generalizations in these areas.
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.
Dimers and M-curves: Limit Shapes from Riemann Surfaces
Explore dimer models, M-curves, and limit shapes through algebraic geometry, integrating Riemann surfaces and Schottky uniformization. Gain insights into statistical mechanics and discrete geometry.
Incidences and Dimers in Projective Geometry - Statistical Mechanics and Discrete Geometry
Explore the connection between linear incidence theorems in projective geometry and bipartite graphs on surfaces, incorporating dimer model dynamics to derive dynamic linear incidence theorems.
Random Matrix Statistics in the Uniform Spanning Tree
Explore random matrix statistics in uniform spanning trees, focusing on branch behavior, scaling limits, and connections to Dyson Brownian motion and Loewner evolution.
Superport Networks: Generalizing Kirchhoff's Matrix-Tree Theorem
Exploration of multiport networks, generalizing Kirchhoff's theorem with novel mathematical approaches. Insights into electrical engineering applications and superport network theory.
Geometric Objects Associated to Planar Bipartite Graphs
Explore topological and geometric data associated with planar bipartite graphs, including knots, cluster varieties, and critical varieties, and their interconnections.
Planar Site Percolation via Tree Embeddings
Explore planar site percolation and tree embeddings in infinite graphs. Discover novel proofs for Bernoulli percolation and confirm a 1996 conjecture by Benjamini and Schramm.
Orthogonal Ring Patterns and Discrete Surfaces
Explore orthogonal ring patterns and discrete surfaces in integrable systems, focusing on applications in condensed matter physics and quantum field theory.
Two Geometric Applications of the Linear Algebra Method
Explore geometric applications of linear algebra with János Pach, covering discrete geometry, convexity, and combinatorics in this research seminar.
S-embeddings and Discrete Maximal Lorentz Surfaces
Explore s-embeddings and discrete maximal Lorentz surfaces in this advanced mathematics talk, focusing on isothermic surfaces, mean curvature, and associated families in discrete geometry.
Dimers on a Riemann Surface and Compactified Free Field
Explore dimer models on Riemann surfaces, height function convergence, and connections to compactified free fields. Gain insights into probabilistic methods and discrete complex analysis in statistical mechanics.
On Pfaffians in Spin Models
Explore Pfaffian relations in spin models, focusing on Ising models on planar graphs and their correlation functions. Discover insights into ferromagnetic spin models and graph simplifications.
Bulk Scaling Limits in Free Boundary Schur Process
Exploring correlation functions and bulk scaling limits in free boundary Schur process, with insights on new deformations of universal distributions in statistical mechanics.