Learning Seminar in Analysis & PDEs
Organizers: Ioakeim Ampatzoglou, Dan Ginsberg, Weilin Li, Vincent Martinez, and Azita Mayeli
Time: Friday, 10:00am-11:30am EST
Location (in-person only): GC 9116
Please note that the hybrid version of the learning seminar is no longer available.
Upcoming Schedule (Fall 2025)
August 29
(First Week of classes) Organizational meeting!
September 5
Organizational meeting, part 2!
September 12
Chapter 1 of Stein and Shakarchi
September 19
Chapter 2 of Stein and Shakarchi
September 26
October 3
October 10
October 17
October 24
(Monday Schedule) No Seminar
October 31
November 7
November 14
November 21
November 28
(Thanksgiving Break) No Seminar
December 5
December 12
Past Schedule
January 31
(First day of the semester) No meeting
February 7: Organizational meeting
February 14: Basics of Lp spaces
Chapter 1.1.1 and 1.1.2
February 21: Fourier transform on Euclidean space, part I
Chapter 1.2.1 and 1.2.2
February 28: Fourier transform on Euclidean space, part II
Chapter 1.2.2 and 1.2.3
March 7: Sobolev Spaces
Chapter 1.3
March 14: Sobolev Embedding
Chapter 1.2
March 21 Littlewood-Paley theory
Chapter 2.1
March 28 Littlewood-Paley theory
Chapter 2.1
April 4 Littlewood-Paley theory
Chapter 2.1
April 11 Applications of Littlewood-Paley theory
Chapter 2 of Alinhac-Gerard
April 18
(Spring Break)
April 25
Besov spaces 2.3-2.4
May 2
May 9
September 6: Orientation
September 20: Metric spaces and Measures
October 18: 1) The Borel-Cantelli lemma; 2) Approximation by simple functions
October 25: Cauchy-Schwarz/Holder/Minkowski/Jensen
November 8: van der Corput's lemma/Riemann-Lebesgue lemma/stationary phase
November 15: Sobolev spaces/the L infinity Sobolev inequality
November 22: Convergence of Fourier Series in "nice" spaces
December 6: the Lax-Milgram theorem
December 13: Haar measures, existence and uniqueness