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#Additive Combinatorics

Showing: 17 courses
Institute for Advanced Study

Associativity Testing - Ben Green

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Explore associativity testing in discrete mathematics, covering key concepts, theorems, and applications in group theory and additive combinatorics.
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11 Lesons
58 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Mathematics of Signal Design for Communication Systems and Szemerédi’s and Green-Tao’s Theorems

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Explore signal design for communication systems, focusing on orthogonal transmission schemes and their dynamics. Delve into mathematical connections with functional analysis and additive combinatorics.
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23 Lesons
1 hour 8 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Basic Lower Bounds and Kneser's Theorem by David Grynkiewicz

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Explore set addition, basic lower bounds, and Kneser's Theorem in additive combinatorics. Learn key proofs, including Cauchy-Davenport theorem, and applications to field extensions.
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15 Lesons
54 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Selberg Sieve and Large Sieve - Lecture 1

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Explore the Selberg Sieve and Large Sieve in number theory, covering linear algebra, duality principles, and applications like the Bombieri-Vinogradov theorem in this advanced mathematics lecture.
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16 Lesons
1 hour 2 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Selberg Sieve - Lecture 1

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Explore the Selberg sieve method in number theory, covering heuristics, probability, and applications to twin primes. Learn about sieve techniques for detecting primes in sequences.
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14 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Simons Institute

Strong Bounds for 3-Progressions

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Explore advanced additive combinatorics, focusing on 3-term arithmetic progressions in integer sets. Learn about recent breakthroughs and their implications for number theory.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Simons Institute

Structure of Communication - Richard M. Karp Distinguished Lecture

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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.
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1 Lesons
1 hour
On-Demand
Free-Video
BIMSA

New Frontiers in Structure vs Randomness with Applications to Combinatorics, Complexity, and Algorithms

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Explore new frontiers in structure vs randomness, delving into applications in combinatorics, complexity, and algorithms. Gain insights on Erdos-Turan problem and recent advancements in additive combinatorics.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
BIMSA

Resolution of the Quadratic Littlewood-Offord Problem

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Explore the resolution of the Quadratic Littlewood-Offord problem with expert Mathew Kwan, delving into combinatorics and its probabilistic connections.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
BIMSA

On the Erdös-Ginzburg-Ziv Problem in Large Dimension

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Explore the Erdös-Ginzburg-Ziv Problem in high dimensions with Professor Lisa Sauermann, delving into advanced combinatorics and number theory concepts.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
BIMSA

Quantitative Bounds in the Polynomial Szemerédi Theorem and Related Results

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Explore quantitative bounds in polynomial Szemerédi theorem and related problems in additive combinatorics, harmonic analysis, and ergodic theory.
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1 Lesons
51 minutes
On-Demand
Free-Video
BIMSA

Applications of Additive Combinatorics to Problems in Fractal Geometry

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Explore applications of additive combinatorics in fractal geometry, focusing on self-similar sets with overlaps and recent advancements in the field.
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1 Lesons
59 minutes
On-Demand
Free-Video
Simons Institute

Structures in Random Graphs - New Connections

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Exploring structures in random graphs, including cliques and independence numbers in Cayley graphs, thresholds for monotone properties, and edge-colorings of bipartite graphs.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Ryan O'Donnell

Analysis of Boolean Functions at CMU - Additive Combinatorics

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Explore additive combinatorics in Boolean functions, covering subspaces, cosets, Hamming balls, and the Fryman region conjecture. Gain insights into advanced theoretical concepts.
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8 Lesons
1 hour 22 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Discreteness of Asymptotic Tensor Ranks

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Explores discreteness in asymptotic tensor parameters, proving general theorems and new lower bounds for asymptotic subrank of tensors, with applications in algebraic complexity and quantum information.
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1 Lesons
40 minutes
On-Demand
Free-Video
Institute for Advanced Study

Linear Stability of the Brunn-Minkowski Inequality

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Delve into advanced mathematical concepts exploring the linear stability of Brunn-Minkowski inequality, examining volume control in convex geometry and its connections to additive combinatorics.
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1 Lesons
1 hour 58 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

A Reverse Minkowski Theorem in Lattice Theory and Geometry

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Explore the groundbreaking reverse Minkowski theorem and its applications in complexity theory, cryptography, and algorithms, building on fundamental concepts in geometry of numbers.
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1 Lesons
57 minutes
On-Demand
Free-Video