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Computer Science
Complexity Theory

Free Online

Complexity Theory Courses and Certifications

Explore the foundations of computational complexity, including lower bounds, communication complexity, and algorithmic efficiency. Learn from leading researchers on YouTube and Udemy as you analyze running time, circuit design, and the limits of computation in real-world and theoretical contexts.

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Simons Institute
Dancing Around SAT

Explore the intricacies of SAT complexity theory with Valentine Kabanets, delving into theoretical aspects and practical implications of satisfiability in computer science.
- YouTube
- 21 minutes
- On-Demand
- Free Video
Society for Industrial and Applied Mathematics
Optimization, Complexity and Math - Can We Prove P!=NP by Gradient Descent?

Explore optimization, complexity, and mathematics with Avi Wigderson. Delve into perfect matchings, symbolic matrices, and operator scaling, connecting diverse areas of mathematics and computer science.
- YouTube
- 55 minutes
- On-Demand
- Free Video
Alan Turing Institute
Alan Turing and the Other Theory of Computing and Can a Machine Be Conscious?

Explore Turing's lesser-known 1948 paper on numerical computation and its impact on complexity theory. Discover how it unifies two major traditions in computational theory.
- YouTube
- 50 minutes
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- Free Video
Association for Computing Machinery (ACM)
Complexity I

Explore multiplicity theorem, programsized complexity, and algorithmic questions in this deep dive into computational complexity theory and its applications.
- YouTube
- 42 minutes
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- Free Video
Association for Computing Machinery (ACM)
Unexpected Hardness Results for Kolmogorov Complexity Under Uniform Reductions

Explore unexpected findings on Kolmogorov complexity, including hardness results, limits, conjectures, and implications for pseudorandom generators and computational complexity.
- YouTube
- 22 minutes
- On-Demand
- Free Video
Simons Institute
Min-Max Optimization - Part III

Explore advanced min-max optimization concepts, applications, and theoretical foundations with MIT expert Constantinos Daskalakis in this comprehensive lecture.
- YouTube
- 1 hour 1 minute
- On-Demand
- Free Video
Centre de recherches mathématiques - CRM
Finding Barriers for Lower Bounds on Tensor Rank

Explore challenges in proving lower bounds on tensor rank, including barriers to "rank methods" and potential improvements using varieties with specific properties.
- YouTube
- 46 minutes
- On-Demand
- Free Video
ACM SIGPLAN
Positive Almost-Sure Termination: Complexity and Proof Rules

Explore complexity and proof rules for Positive Almost-Sure Termination in probabilistic programming, including recursion-theoretic analysis and novel proof techniques using transfinite ordinals.
- YouTube
- 19 minutes
- On-Demand
- Free Video
ACM SIGPLAN
The Complex(ity) Landscape of Checking Infinite Descent

Explore the complexity of checking Infinite Descent in cyclic proof systems, examining various criteria and their parameterized time complexities to improve automatic verification techniques.
- YouTube
- 18 minutes
- On-Demand
- Free Video
Simons Institute
The Long Path to Square Root of d Monotonicity Testers

Explore directed isoperimetry and its application to monotonicity testing, analyzing directed random walks on product domains for optimal testers in Boolean functions on hypergrids.
- YouTube
- 56 minutes
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Centre International de Rencontres Mathématiques
Pseudodeterministic Constructions and rK^t - Tutorial 3

Explore pseudodeterministic constructions and rK^t in this advanced mathematics tutorial by Igor Carboni Oliveira, delving into randomness, information, and complexity theory.
- YouTube
- 1 hour 7 minutes
- On-Demand
- Free Video
Centre International de Rencontres Mathématiques
Randomness and Complexity - Lecture 1

Explore the intersection of randomness and complexity in mathematics, delving into key concepts and their applications in discrete mathematics and computer science.
- YouTube
- 1 hour 36 minutes
- On-Demand
- Free Video
Centre International de Rencontres Mathématiques
Complexity and the Hat

Explore complexity through mathematical concepts, focusing on unique perspectives and innovative approaches in discrete mathematics and computer science.
- YouTube
- 1 hour
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- Free Video
Kolmogorov-Seminar
Different Complexity Notions in Physical Context - From Pattern Recognition to Quantum Systems

Explore complexity theories in condensed matter physics, examining pattern complexity definitions and Boolean function analysis in quantum magnetic systems through physical and mathematical perspectives.
- YouTube
- 1 hour 49 minutes
- On-Demand
- Free Video
Simons Institute
A Streaming Quantum PCP from a New Quantum Gap Amplification Procedure

Discover a novel quantum gap amplification technique using expander graphs to derandomize Hamiltonian tensor products, leading to a streaming quantum PCP theorem with simple measurable terms.
- YouTube
- 55 minutes
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