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All Colloquia & Seminars

Current Seminars

  1. Analytic Number Theory Seminar: Levels of distribution for prehomogeneous vector spaces

    Location: MSRI: Simons Auditorium
    Speakers: Frank Thorne (University of South Carolina)
    A "level of distribution" is, in essence, a bound on the cumulative error terms made in counting subsequences of some arithmetic sequence of interest. These are often an important tool in analytic number theory arguments, and I will begin with an overview of some interesting applications (due mostly to people other than me!) involving prehomogeneous vector spaces and their parametrizations.

    I will then outline our* program to prove level of distribution statements which are as quantitatively strong as possible, and in as much generality as possible. The first part is an evaluation of some associated exponential sums over finite fields, where we observe better than square root cancellation. The second part relies on the geometry and orbit structure of our vector spaces to put these exponential sum estimates to good use.

    *: Joint work with Takashi Taniguchi
    Updated on Feb 17, 2017 09:33 AM PST

Upcoming Seminars

  1. Informal Talk: General Bilinear Forms Bounds for Trace Functions

    Location: MSRI: Baker Board Room
    Speakers: Will Sawin (ETH Zürich)

    We explain how to bound general bilinear forms of the form sum_{x,y in F_p} a(x) b(y) K(x,y) where K is a specified trace function and a and b are arbitrary in terms of the L^2 norms of a and b. The bounds we give are essentially sharp and they arise by an iterative argument involving some, but not very many, properties of l-adic sheaves.

    Updated on Feb 16, 2017 01:16 PM PST
  2. ANT&HA Graduate Student Seminar

    Location: MSRI: Baker Board Room

    ``On the 14th Feb and 21st Feb there be 2*20 minute talks in ANT and the same in HA. The idea is to give a 20 minute overview of some aspect of a few students research, ensuring that as much as possible is comprehensible and of interest to people in the opposite camp. This will also give us the opportunity to meet graduate students across the two camps."

    Analytic Number Theory:

    Joni Teräväinen: Transference principle and the Goldbach problem

    Sarah Peluse: TBA

    Harmonic Analysis:

    Kamilia Dahmani: Sharp weighted estimates of the Riesz vector on manifolds

    Joris Roos: Maximal operators related to curves in the plane​

     
    Updated on Feb 16, 2017 01:16 PM PST
  3. Harmonic Analysis Seminar: Products of simplices in sets of positive upper density of R^d

    Location: MSRI: Simons Auditorium
    Speakers: Akos Magyar (University of Georgia)

    A problem of geometric Ramsey theory is to find an isometric copy of all large dilates of a given finite point configuration in sets of positive upper density.  A result of this type was obtained by Katznelson and Weiss, namely that sets of positive upper density of R^d  contain all large distances. This was generalised by Bourgain to show that such sets contain isometric copies of all large dilates of a given simplex. We extend these results to show that above phenomena holds for k-dimensional rectangles and more generally for direct products of simplices. 

    The main tool is an adaptation to of the so-called regularity lemma (and its extension to hypergraphs) to the continuous settings with respect to certain norms controlling such configurations.

    Updated on Feb 10, 2017 01:56 PM PST
  4. HA Postdoc Seminar: A Spherical Maximal Function along the Primes

    Location: MSRI: Simons Auditorium
    Speakers: Theresa Anderson (University of Wisconsin-Madison)

    Note: This talk will have similar content, given in a broader Colloquium-style, as the talk that I will give in the Joint Seminar (HA and ANT) on Friday, March 10. 

    Abstract: Stein and Bourgain famously proved L^p bounds for the continuous spherical maximal function.  Magyar-Stein-Wainger considered the natural discrete variant, but the l^p(Z^n) bounds are different for this operator.  Motivated by questions related to distributions of prime points on surfaces, we consider a discrete spherical maximal function along the primes.  How does it compare to the integer case, and what does it tell us?  Come and find out.  This is joint work with B. Cook, A. Kumchev, and K. Hughes. 

    Updated on Feb 17, 2017 09:36 AM PST
  5. ANT Postdoc Seminar: From points to lines and beyond: Higher-dimensional objects contained in hypersurfaces

    Location: MSRI: Simons Auditorium
    Speakers: Julia Brandes (University of Göteborg)

    There is a host of methods available in order to count rational points on hypersurfaces. I will show how some of these strategies can be adapted for the purpose of counting higher-dimensional objects contained in hypersurfaces and address some of the most important results in the field as well as some of the main challenges.

    Updated on Feb 17, 2017 09:34 AM PST
  6. HA Postdoc Seminar: An Application of $\ell^2$ Decoupling

    Location: MSRI: Simons Auditorium
    Speakers: Bobby Wilson (Massachusetts Institute of Technology)

    (Colloquium-Style Talk)

    In this talk, we will discuss work concerning the improvement of Strichartz estimates for the cubic nonlinear Schr\"odinger equation on the irrational torus.  A surprisingly crucial aspect of the original problem, for the rational torus, is that we can reduce our estimates to counting lattice points contained in convex bodies.  However, there is a sharp contrast,  in which techniques are applicable, between the case of the irrational torus and the rational torus.  We will discuss how $\ell^2$-decoupling allows us to bridge the gap between the two cases.  (Joint with G. Staffilani, C. Fan, H. Wang)

    Updated on Feb 17, 2017 09:37 AM PST
  7. Joint ANT & HA Seminar: The Erdos discrepancy problem

    Location: MSRI: Simons Auditorium
    Speakers: Terence Tao (University of California, Los Angeles)
    The discrepancy of a sequence f(1), f(2), ... of numbers is defined to be the largest value of |f(d) + f(2d) + ... + f(nd)| as n,d range over the natural numbers. In the 1930s, Erdos posed the question of whether any sequence consisting only of +1 and -1 could have bounded discrepancy. In 2010, the collaborative Polymath5 project showed (among other things) that the problem could be effectively reduced to a problem involving completely multiplicative sequences. Finally, using recent breakthroughs in the asymptotics of completely multiplicative sequences by Matomaki and Radziwill, as well as a surprising application of the Shannon entropy inequalities, the Erdos discrepancy problem was solved in 2015. In this talk I will discuss this solution and its connection to the Chowla and Elliott conjectures in number theory.
     
    Updated on Feb 17, 2017 01:18 PM PST
  8. Harmonic Analysis Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 10:48 AM PST
  9. Analytic Number Theory Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:27 PM PST
  10. Harmonic Analysis Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 10:48 AM PST
  11. HA Postdoc Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 03, 2017 01:06 PM PST
  12. MSRI/Pseudorandomness seminar

    Location: MSRI: Simons Auditorium
    Updated on Feb 16, 2017 02:35 PM PST
  13. ANT Postdoc Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:03 PM PST
  14. HA Postdoc Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:05 PM PST
  15. Joint ANT & HA Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:01 PM PST
  16. Harmonic Analysis Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 10:48 AM PST
  17. Harmonic Analysis Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 10:48 AM PST
  18. ANT Postdoc Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:03 PM PST
  19. HA Postdoc Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:05 PM PST
  20. Joint ANT & HA Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:01 PM PST
  21. Harmonic Analysis Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 10:48 AM PST
  22. HA Postdoc Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 13, 2017 12:30 PM PST
  23. Harmonic Analysis Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 10:48 AM PST
  24. MSRI/Pseudorandomness seminar

    Location: MSRI: Simons Auditorium
    Updated on Feb 16, 2017 02:36 PM PST
  25. ANT Postdoc Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:03 PM PST
  26. HA Postdoc Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:05 PM PST
  27. Joint ANT & HA Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:01 PM PST
  28. Harmonic Analysis Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 10:48 AM PST
  29. Harmonic Analysis Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 10:48 AM PST
  30. ANT Postdoc Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:03 PM PST
  31. HA Postdoc Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:05 PM PST
  32. Joint ANT & HA Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:01 PM PST
  33. Harmonic Analysis Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 10:49 AM PST
  34. HA Postdoc Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 13, 2017 12:31 PM PST
  35. Harmonic Analysis Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 10:49 AM PST
  36. MSRI/Pseudorandomness seminar

    Location: MSRI: Simons Auditorium
    Updated on Feb 16, 2017 02:36 PM PST
  37. ANT Postdoc Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:03 PM PST
  38. HA Postdoc Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:05 PM PST
  39. Joint ANT & HA Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:01 PM PST
  40. Harmonic Analysis Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 10:49 AM PST
  41. Harmonic Analysis Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 10:49 AM PST
  42. Logic and Literature: The Magic of Charles S. Peirce

    Location: MSRI: Simons Auditorium
    Speakers: Persi Diaconis (Stanford University)

    C. S. Peirce was one of the founders of American philosophy (along with John Dewey, William James, and Oliver Wendell Holmes, Jr.), a gadfly, polymath, and close to impossible to understand.  It turns out that he also invented (bad) magic tricks---these _do_ have some brilliant original things in them.  I'll try to use this insight to give a  fresh look at this amazing mind.

    Updated on Feb 15, 2017 09:32 AM PST
  43. ANT Postdoc Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:03 PM PST
  44. HA Postdoc Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:05 PM PST
  45. Joint ANT & HA Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:01 PM PST
  46. Harmonic Analysis Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 10:49 AM PST
  47. Harmonic Analysis Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 10:49 AM PST
  48. MSRI/Pseudorandomness seminar

    Location: MSRI: Simons Auditorium
    Updated on Feb 16, 2017 02:37 PM PST
  49. ANT Postdoc Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:03 PM PST
  50. HA Postdoc Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:05 PM PST
  51. Joint ANT & HA Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:01 PM PST
  52. Harmonic Analysis Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 10:49 AM PST
  53. Harmonic Analysis Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 10:49 AM PST
  54. ANT Postdoc Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:03 PM PST
  55. HA Postdoc Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:05 PM PST
  56. Joint ANT & HA Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:01 PM PST
  57. Harmonic Analysis Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 10:49 AM PST
  58. Harmonic Analysis Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 10:49 AM PST
  59. MSRI/Pseudorandomness seminar

    Location: MSRI: Simons Auditorium
    Updated on Feb 16, 2017 02:37 PM PST
  60. ANT Postdoc Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:03 PM PST
  61. HA Postdoc Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:05 PM PST
  62. Joint ANT & HA Seminar

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:01 PM PST

Past Seminars

seminar
  1. Seminar Five-Minute Talk Series

    Created on Feb 07, 2017 10:22 AM PST
  2. Seminar Five-Minute Talk Series

    Created on Feb 07, 2017 10:22 AM PST
  3. Seminar Five-Minute Talk Series

    Updated on Feb 07, 2017 10:22 AM PST
  4. Seminar Common Lunch

    Created on Dec 09, 2016 01:17 PM PST
There are more then 30 past seminars. Please go to Past seminars to see all past seminars.