MIT 18.156 Projection Theory, Spring 2025
4.0
(1)
20 learners
What you'll learn
This course includes
- 31.5 hours of video
- Certificate of completion
- Access on mobile and TV
Course content
1 modules • 24 lessons • 31.5 hours of video
MIT 18.156 Projection Theory, Spring 2025
24 lessons
• 31.5 hours
MIT 18.156 Projection Theory, Spring 2025
24 lessons
• 31.5 hours
- Lecture 01: Introduction to Projection Theory01:18:26
- Lecture 02: Fundamental Methods of Projection Theory01:19:59
- Lecture 03: Projection Theory in Euclidean Space01:19:57
- Lecture 04: The Fourier Method in Euclidean Space01:19:52
- Lecture 05: The Large Sieve01:18:30
- Lecture 06: Projections and Smoothing01:17:36
- Lecture 07: Applications of the Large Sieve to Number Theory01:20:06
- Lecture 08: The Szemeredi-Trotter Theorem01:20:20
- Lecture 09: Reflections on the Szemeredi-Trotter Theorem01:16:57
- Lecture 10: Sum-Product Theory01:17:10
- Lecture 11: Contagious Structure in Projection Theory01:17:17
- Lecture 12: The Bourgain-Katz-Tao Projection Theorem01:17:49
- Lecture 13: The Balog-Szemeredi-Gowers Theorem01:14:45
- Lecture 14: The Bourgain Projection Theorem Part 1 (over the Real Numbers)01:20:31
- Lecture 15: The Bourgain Projection Theorem, Part 201:17:27
- Lecture 16: The Bourgain Projection Theorem, Part 301:19:46
- Lecture 17: Random Walks on Finite Groups, Part 101:18:06
- Lecture 18: Random Walks on Finite Groups, Part 201:16:55
- Lecture 19: Random Walks on Finite Groups, Part 301:23:12
- Lecture 20: Homogeneous Dynamics, Part 101:20:41
- Lecture 21: Homogeneous Dynamics, Part 201:19:37
- Lecture 22: Sharp Projection Theorems, Part 1: Introduction and Beck's Theorem.01:18:25
- Lecture 23: Sharp Projection Theorems, Part 2: AD Regular Case01:21:27
- Lecture 24: Sharp Projection Theorems, Part 3: Combining Different Scales01:17:25
