On the Erdös-Ginzburg-Ziv Problem in Large Dimension
Explore the Erdös-Ginzburg-Ziv Problem in high dimensions with Professor Lisa Sauermann, delving into advanced combinatorics and number theory concepts.
A Random Hall-Paige Conjecture
Explore extremal combinatorics, focusing on Ramsey theory, Latin squares, and positional games. Delve into problems bridging combinatorics and algebra with an expert in the field.
A Solution to Erdős and Hajnal's Odd Cycle Problem
Explore a solution to Erdős and Hajnal's odd cycle problem in extremal and probabilistic combinatorics with Associate Professor Richard Montgomery.
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.
Hypertrees in Combinatorics and Graph Theory
Explore hypertrees with Professor Nati Linial, delving into combinatorics, algorithms, and their applications in computer science and mathematics.
New Ramsey Multiplicity Bounds and Search Heuristics
Explore new Ramsey multiplicity bounds and search heuristics in combinatorics and graph theory with Professor Tibor Szabó's insightful lecture.
Decomposing Cubic Graphs into Isomorphic Linear Forests
Explore cubic graph decomposition into isomorphic linear forests with Shoham Letzter, delving into extremal and probabilistic combinatorics.
Isoresidual Fibration: At the Crossroads of Complex Analysis, Flat Geometry and Combinatorics
Explore the intersection of complex analysis, flat geometry, and combinatorics through isoresidual fibration. Gain insights into moduli spaces and geometric structures on surfaces.
Exponentially Many Graphs Are Determined by Their Spectrum
Explore discrete analogues of Kac's question on "hearing the shape of a drum" and learn about graphs determined by their spectrum in this mathematical seminar.
Mean Estimation: Median of Means Tournaments - Lecture 2
Explore mean estimation techniques using median of means tournaments in this advanced statistical lecture by Gabor Lugosi from Pompeu Fabra University.
Hausdorff Dimension of Three-Dimensional Kakeya Sets
Explore groundbreaking research on Kakeya sets in R^3, uncovering a new lower bound for Hausdorff dimension and its implications in geometric measure theory.
A Proof of the Erdos-Faber-Lovasz Conjecture
Explore the recent proof of the Erdos-Faber-Lovasz conjecture and its generalization, delving into linear hypergraphs and chromatic index concepts.
Hypergraph Bipartite Turan Problems
Explore recent findings on hypergraph bipartite Turan problems, including solutions to challenges posed by prominent researchers in the field.
Recent Progress in Ramsey Theory
Explore recent advancements in Ramsey Theory, focusing on new techniques and proofs related to Ramsey numbers and graph coloring. Gain insights into geometric, algebraic, probabilistic, and combinatorial methods.
Hypergraph Bipartite Turan Problems
Explore recent findings on hypergraph bipartite Turan problems, including solutions to challenges posed by prominent researchers in the field.
The Combinatorics of Finite Simple Groups - ICBS 2024
Explore the interplay between finite simple groups, combinatorics, and group theory, examining recent developments and introducing algebraic tools for geometric structures.
Toward a Density Corradi-Hajnal Theorem for Degenerate Hypergraphs - ICBS 2024
Explore density Corrádi-Hajnal theorem for degenerate hypergraphs, examining extremal constructions across intervals and characterizing them for graphs and specific nondegenerate hypergraphs.
Points, Lines, and Subdivisions in Polyhedra - ICBS 2024
Explore polyhedra's role in mathematics, from PL topology to arithmetic, and discover new insights in combinatorics and related fields.
Equiangular Lines and Eigenvalue Multiplicity - ICBS 2024
Explore equiangular lines in high dimensions, solving a longstanding problem using spectral graph theory and discussing future research directions.
Properties of the Unit Distance Graph of the Plane
Explore properties of the unit distance graph of the plane, including the Hadwiger-Nelson problem, Erdos' conjecture, and fractional chromatic number.
Progression-Free Sets in Arithmetic Sequences
Explore lower and upper bounds for progression-free sets in $\mathbb{Z}_m^n$, examining the polynomial method's application to $r_k(\mathbb{Z}_m^n)$ and related problems.