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#High Dimensional Expanders

Showing: 22 courses
Institute for Advanced Study

Introduction to High Dimensional Expanders - Irit Dinur

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Explore high dimensional expanders with Irit Dinur, covering random walks, spectral expansion, and hypergraphs. Gain insights into this advanced topic in discrete mathematics and computer science.
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8 Lesons
1 hour 51 minutes
On-Demand
Free-Video
Ryan O'Donnell

High-Dimensional Expanders - How I Learned to Stop Worrying and Love Group-Theoretic Constructions

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Explore high-dimensional expanders, focusing on 2-dimensional cases, graphs of constant link, and group-theoretic constructions. Gain insights into advanced mathematical concepts and recent research developments.
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10 Lesons
47 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Cynthia Vinzant - Log Concave Polynomials and Matroids

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Explore strong log concavity in polynomials, its applications to matroids, and connections to combinatorics and geometry. Learn about recent developments and their implications.
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8 Lesons
58 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Stability, Non-approximate Groups and High Dimensional Expanders by Alex Lubotzky

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Explore stability, non-approximate groups, and high-dimensional expanders in this advanced mathematics lecture. Gain insights into residually finite and sophic groups, with a focus on recent breakthroughs and proofs.
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11 Lesons
50 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

High Dimensional Expanders

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Explore high-dimensional expanders, their mathematical properties, and applications in theoretical computer science. Learn about coboundary and spectral expansion, and their implications for complex structures.
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19 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Simons Institute

High Dimensional Expanders - Introduction and Motivation

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Explore high-dimensional expanders, their applications in error-correcting codes, and the motivations behind this emerging field of mathematics and computer science.
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1 Lesons
1 hour 35 minutes
On-Demand
Free-Video
Simons Institute

High-Dimensional Expanders - Lecture 1

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Explore high-dimensional expanders with Irit Dinur, delving into advanced concepts in analysis and theoretical computer science.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Simons Institute

High-Dimensional Expanders - Lecture 4

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Explore advanced concepts in high-dimensional expanders, focusing on analysis techniques and applications in theoretical computer science.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Simons Institute

High-Dimensional Expanders - Lecture 3

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Explore advanced concepts in high-dimensional expanders, focusing on analysis techniques and applications in theoretical computer science.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Simons Institute

Reverse Hypercontractivity and Improved Sampling in High Dimensional Expanders

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Explore reverse hypercontractivity in high-dimensional expanders, its connection to mixing and sampling, and discover new Chernoff-like bounds in these mathematical structures.
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1 Lesons
58 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

High Dimensional Expanders - HDXs

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Explore high-dimensional expanders, their mathematical foundations, and recent applications in computer science, including property testing, coding theory, and approximate counting.
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1 Lesons
1 hour 20 minutes
On-Demand
Free-Video
MUNI Seminar Series

Expanders in Higher Dimensions: From Local to Global Properties and Applications

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Explore high-dimensional expanders, their local-to-global properties, and applications in coding theory, networking, and computational complexity.
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18 Lesons
39 minutes
On-Demand
Free-Video
Simons Institute

High-Dimensional Expanders - Lecture 2

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Explore high-dimensional expanders with Irit Dinur, delving into advanced concepts and applications in analysis and theoretical computer science.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Simons Institute

Pseudorandomness

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Explorations in pseudorandomness: SoS lower bounds, block rigidity, unbounded-width permutation branching programs, computational entropies, and random projections in circuit complexity.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

High-Dimensional Sipser-Spielman Codes - IPAM at UCLA

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Exploration of high-dimensional Sipser-Spielman codes, extending expander codes to cell complexes and cellular sheaves, with applications in quantum error correction and coding theory.
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1 Lesons
51 minutes
On-Demand
Free-Video
IEEE

Approximating Constraint Satisfaction Problems on High Dimensional Expanders

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Explore high-dimensional expanders and their role in approximating constraint satisfaction problems, with insights on natural collections and general expanders.
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12 Lesons
18 minutes
On-Demand
Free-Video
IEEE

Spectral Independence in High-Dimensional Expanders and Applications to the Hardcore Model

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Explore spectral independence in high-dimensional expanders and its application to the hardcore model, focusing on Glauber dynamics, complexity phase transitions, and future research directions.
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10 Lesons
26 minutes
On-Demand
Free-Video
IEEE

Decodable Quantum LDPC Codes Beyond the Square Root Distance Barrier Using High Dimensional Expander

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Explore quantum LDPC codes using high dimensional expanders, surpassing distance barriers. Learn about CSS codes, geometric complexes, and LSV constructions for improved quantum error correction.
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14 Lesons
29 minutes
On-Demand
Free-Video
Institute for Advanced Study

Quasi-Linear Size PCPs with Small Soundness from High-Dimensional Expanders

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Delve into probabilistically checkable proofs (PCPs), exploring their encoding, verification, and applications in computer science, with focus on achieving small soundness using high-dimensional expanders.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Institute for Advanced Study

Fault Tolerant Routing Protocols on High-Dimensional Expanders

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Delve into fault-tolerant routing protocols on high-dimensional expanders, exploring efficient message transmission systems that maintain reliability even with corrupted network edges and enable advanced distributed computing applications.
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1 Lesons
1 hour 44 minutes
On-Demand
Free-Video
Institute for Advanced Study

Concentration on HDX: Derandomization Beyond Chernoff - Lecture

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Explore advanced derandomization techniques beyond Chernoff's bound, focusing on high-dimensional expanders and their applications in theoretical computer science and complexity theory.
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1 Lesons
2 hours 8 minutes
On-Demand
Free-Video
Institute for Advanced Study

Local-to-Global Theorems on High Dimensional Expanders

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Explore high dimensional expansion theory, from graph fundamentals to complex applications in error-correcting codes and PCPs, focusing on how local properties influence global behaviors in mathematical structures.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video