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Colloquia & Seminars


No current seminar
  1. MSRI Evans Talk: Dynamics and Integer Points on the Sphere

    Location: 60 Evans Hall
    Speakers: Elon Lindenstrauss (Hebrew University)
    A theorem of Gauss and Legendre states that every integer n that is not congruent to 0,4 or 7 mod 8 can be presented as a sum of three relatively prime squares. In fact, we know (ineffectively) that under these conditions there are n^{1/2+o(1)} such representations of n.
     
    Rescaling the points to the unit sphere, we get as n increases more and more points on this sphere, and some 50 years ago Linnik, in a book with the intriguing name "Ergodic properties of number fields", used ergodic theory to study the distribution of these points, at least for sequences of n satisfying an auxiliary congruence condition --- for instance if n is in addition assumed to be congruent to 2 (mod 3). 
     
    An alternative route, using bounds on Fourier coefficients of certain automorphic forms, was given by Duke and Iwaniec. This alternative route has several advantages, e.g. does not need a congruence condition and gives much more quantitative information. But the highly original work of Linnik on the subject is still very relevant, and had motivated much recent work.
     
    I will explain why and how ergodic theory --- more specifically, homogeneous dynamics --- can be used to study integer points on the sphere, and time permitting present some recent work in this direction.
     
     
    Updated on Jan 23, 2015 10:38 AM PST
  2. GAAHD Research Seminar

    Location: MSRI: Simons Auditorium
    Created on Jan 23, 2015 02:49 PM PST
  3. DMS Research Seminar

    Location: MSRI: Simons Auditorium
    Speakers: Marc Burger (ETH Zurich), Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
    Created on Jan 23, 2015 02:09 PM PST
  4. GAAHD Research Seminar

    Location: MSRI: Simons Auditorium
    Created on Jan 23, 2015 02:50 PM PST
  5. DMS Research Seminar

    Location: MSRI: Simons Auditorium
    Speakers: Marc Burger (ETH Zurich), Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
    Created on Jan 23, 2015 02:11 PM PST
  6. GAAHD Research Seminar

    Location: Space Science Lab
    Created on Jan 23, 2015 02:51 PM PST
  7. DMS Research Seminar

    Location: MSRI: Simons Auditorium
    Speakers: Marc Burger (ETH Zurich), Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
    Created on Jan 23, 2015 02:14 PM PST
  8. MSRI Evans Talk

    Location: 60 Evans Hall
    Speakers: William Goldman (University of Maryland)
    Updated on Jan 15, 2015 09:40 AM PST
  9. GAAHD Research Seminar

    Location: MSRI: Simons Auditorium
    Created on Jan 23, 2015 02:53 PM PST
  10. DMS Research Seminar

    Location: MSRI: Simons Auditorium
    Speakers: Marc Burger (ETH Zurich), Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
    Created on Jan 23, 2015 02:15 PM PST
  11. GAAHD Research Seminar

    Location: MSRI: Simons Auditorium
    Created on Jan 23, 2015 02:55 PM PST
  12. DMS Research Seminar

    Location: MSRI: Simons Auditorium
    Speakers: Marc Burger (ETH Zurich), Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
    Created on Jan 23, 2015 02:17 PM PST
  13. GAAHD Research Seminar

    Location: MSRI: Simons Auditorium
    Created on Jan 23, 2015 02:56 PM PST
  14. DMS Research Seminar

    Location: MSRI: Simons Auditorium
    Speakers: Marc Burger (ETH Zurich), Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
    Created on Jan 23, 2015 02:21 PM PST
  15. GAAHD Research Seminar

    Location: MSRI: Simons Auditorium
    Created on Jan 23, 2015 02:57 PM PST
  16. DMS Research Seminar

    Location: MSRI: Simons Auditorium
    Speakers: Marc Burger (ETH Zurich), Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
    Created on Jan 23, 2015 02:22 PM PST
  17. GAAHD Research Seminar

    Location: MSRI: Simons Auditorium
    Created on Jan 23, 2015 03:00 PM PST
  18. DMS Research Seminar

    Location: MSRI: Simons Auditorium
    Speakers: Marc Burger (ETH Zurich), Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
    Created on Jan 23, 2015 02:24 PM PST
  19. MSRI Evans Talk

    Location: 60 Evans Hall
    Speakers: Maryam Mirzakhani (Stanford University)
    Updated on Jan 15, 2015 09:40 AM PST
  20. GAAHD Research Seminar

    Location: MSRI: Simons Auditorium
    Created on Jan 23, 2015 03:02 PM PST
  21. DMS Research Seminar

    Location: MSRI: Simons Auditorium
    Speakers: Marc Burger (ETH Zurich), Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
    Created on Jan 23, 2015 02:25 PM PST
  22. GAAHD Research Seminar

    Location: MSRI: Simons Auditorium
    Created on Jan 23, 2015 03:10 PM PST
  23. DMS Research Seminar

    Location: MSRI: Simons Auditorium
    Speakers: Marc Burger (ETH Zurich), Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
    Created on Jan 23, 2015 02:26 PM PST
  24. GAAHD Research Seminar

    Location: MSRI: Simons Auditorium
    Updated on Jan 23, 2015 03:13 PM PST
  25. DMS Research Seminar

    Location: MSRI: Simons Auditorium
    Speakers: Marc Burger (ETH Zurich), Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
    Created on Jan 23, 2015 02:28 PM PST
  26. MSRI Evans Talk

    Location: 60 Evans Hall
    Speakers: Hee Oh (Yale University)
    Updated on Jan 15, 2015 09:42 AM PST
  27. GAAHD Research Seminar

    Location: MSRI: Simons Auditorium
    Created on Jan 23, 2015 03:15 PM PST
  28. DMS Research Seminar

    Location: MSRI: Simons Auditorium
    Speakers: Marc Burger (ETH Zurich), Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
    Created on Jan 23, 2015 02:30 PM PST
  29. GAAHD Research Seminar

    Location: MSRI: Simons Auditorium
    Created on Jan 23, 2015 03:18 PM PST
  30. DMS Research Seminar

    Location: MSRI: Simons Auditorium
    Speakers: Marc Burger (ETH Zurich), Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
    Created on Jan 23, 2015 02:32 PM PST
  31. GAAHD Research Seminar

    Location: MSRI: Simons Auditorium
    Created on Jan 23, 2015 03:52 PM PST
  32. DMS Research Seminar

    Location: MSRI: Simons Auditorium
    Speakers: Marc Burger (ETH Zurich), Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
    Created on Jan 23, 2015 02:33 PM PST
  33. GAAHD Research Seminar

    Location: MSRI: Simons Auditorium
    Created on Jan 23, 2015 03:56 PM PST
  34. DMS Research Seminar

    Location: MSRI: Simons Auditorium
    Speakers: Marc Burger (ETH Zurich), Fanny Kassel (Université de Lille I (Sciences et Techniques de Lille Flandres Artois))
    Created on Jan 23, 2015 02:34 PM PST
  35. GAAHD Research Seminar

    Location: MSRI: Simons Auditorium
    Created on Jan 23, 2015 03:55 PM PST

Past Seminars

seminar
  1. Seminar GRT Pizza Seminar

    Updated on Sep 03, 2014 04:22 PM PDT
  2. Seminar GRT Research Seminar

    Created on Sep 03, 2014 12:39 PM PDT
  3. Seminar Number Theory Seminar

    Created on Sep 12, 2014 01:29 PM PDT
  4. Seminar GRT Research Seminar

    Created on Sep 03, 2014 12:26 PM PDT
There are more then 30 past seminars. Please go to Past seminars to see all past seminars.