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ICTP Mathematics
Counting Techniques - Lecture 1

Explore fundamental counting principles and techniques in combinatorics, laying the groundwork for solving complex enumeration problems in mathematics.
- YouTube
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Fields Institute
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.
- YouTube
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Simons Institute
Improved Bounds for the Sunflower Lemma

Explore recent progress on the sunflower conjecture, examining structure vs pseudo-randomness and connections to DNF simplification under random restrictions.
- YouTube
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Tom Rocks Maths
AMC 12 Cube Colouring Question

Explore a challenging cube coloring problem and learn how to solve it using mathematical reasoning and combinatorial analysis.
- YouTube
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Fields Institute
Combinatorial Atlas for Log-Concave Inequalities

Explore log-concave inequalities in combinatorics, focusing on matroids, Mason's Conjecture, and hyperbolic inequalities. Learn about refinement techniques and equality conditions.
- YouTube
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International Centre for Theoretical Sciences
Additive Number Theory - Extremal Problems and the Combinatorics of Sumsets by M. Nathanson

Explore extremal problems and combinatorics of sumsets in additive number theory, covering density, lower bounds, Cauchy-Davenport theorem, and Erdos-Turan conjecture.
- YouTube
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Fields Institute
Schlichting's Theorem for Approximate Subgroups

Explore Schlichting's Theorem and its applications to approximate subgroups, including generalizations, structure, and proof techniques in group theory.
- YouTube
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Michael Penn
Catalan Numbers - Generating Function and Closed Form

Explore generating functions and closed forms for Catalan numbers, building on recursion concepts to derive a comprehensive understanding of this important mathematical sequence.
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Explore limits related to arithmetic and geometric means of binomial coefficients, with strategies for solving complex mathematical problems in this advanced mathematics lecture.
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International Mathematical Union
Restricted Extremal Problems in Hypergraphs

Exploration of extremal problems in 3-uniform hypergraphs, focusing on restricted variants motivated by quasirandom hypergraphs. Discusses recent progress and a unifying framework for these challenging mathematical problems.
- YouTube
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Paul G. Allen School
Coding for Sunflowers - Theory Seminar

Explore recent advancements in the sunflower conjecture, simplifying proofs and discussing set theory implications in this mathematical theory seminar by Anup Rao.
- YouTube
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Insights into Mathematics
Four Basic Combinatorial Counting Problems in Data Structures - Math Foundations 162

Explores four fundamental combinatorial counting problems for lists, ordered sets, sets, and multisets, providing insights into mathematical data structures and their enumeration.
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A Subfactorial Limit - Exploring Derangement Probabilities

Explore the fascinating world of subfactorial limits through examples, cases, and recursion, uncovering mathematical insights and problem-solving techniques.
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MindYourDecisions
The Famous Batteries and Flashlight Logic Puzzle - Optimal Testing Strategy

Solve a famous logic puzzle: determine the minimum tests needed to find 2 good batteries out of 4 good and 4 bad ones to power a flashlight. Explores strategies and provides proof.
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IMSA
Combinatorial Conjectures and Algebraic Tools - January 30, 2024

Explore combinatorial conjectures like Grünbaum and g-conjectures, and their connections to deeper algebraic properties in this insightful overview.
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