Learn · Projection Theory

Lecture 24 of 24Lecture Videos

Lecture 24: Sharp Projection Theorems, Part 3: Combining Different Scales

Prof. Lawrence D Guth · Massachusetts Institute of Technology

At MIT OpenCourseWare Transcript

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Projection Theory, Massachusetts Institute of Technology (at MIT OpenCourseWare)
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CC BY-NC-SA 4.0, as MIT OpenCourseWare states it. Non-commercial use only.
Attribution
Prof. Lawrence D Guth. Projection Theory. Spring 2025. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu/. License: Creative Commons BY-NC-SA.
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All the lectures

  1. Lecture 01: Introduction to Projection Theory Video
  2. Lecture 02: Fundamental Methods of Projection Theory Video
  3. Lecture 03: Projection Theory in Euclidean Space Video
  4. Lecture 04: The Fourier Method in Euclidean Space Video
  5. Lecture 05: The Large Sieve Video
  6. Lecture 06: Projections and Smoothing Video
  7. Lecture 07: Applications of the Large Sieve to Number Theory Video
  8. Lecture 08: The Szemeredi-Trotter Theorem Video
  9. Lecture 09: Reflections on the Szemeredi-Trotter Theorem Video
  10. Lecture 10: Sum-Product Theory Video
  11. Lecture 11: Contagious Structure in Projection Theory Video
  12. Lecture 12: The Bourgain-Katz-Tao Projection Theorem Video
  13. Lecture 13: The Balog-Szemeredi-Gowers Theorem Video
  14. Lecture 14: The Bourgain Projection Theorem Part 1 (over the Real Numbers) Video
  15. Lecture 15: The Bourgain Projection Theorem, Part 2 Video
  16. Lecture 16: The Bourgain Projection Theorem, Part 3 Video
  17. Lecture 17: Random Walks on Finite Groups, Part 1 Video
  18. Lecture 18: Random Walks on Finite Groups, Part 2 Video
  19. Lecture 19: Random Walks on Finite Groups, Part 3 Video
  20. Lecture 20: Homogeneous Dynamics, Part 1 Video
  21. Lecture 21: Homogeneous Dynamics, Part 2 Video
  22. Lecture 22: Sharp Projection Theorems, Part 1: Introduction and Beck's Theorem. Video
  23. Lecture 23: Sharp Projection Theorems, Part 2: AD Regular Case Video
  24. Lecture 24: Sharp Projection Theorems, Part 3: Combining Different Scales Video