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Colloquia & Seminars


Current Seminars

  1. Harmonic Analysis Seminar: Regularity of the free boundary of almost minimizers for the Alt-Caffareli-Friedman functional

    Location: MSRI: Simons Auditorium
    Speakers: Guy David (Université de Paris XI)

    This is joint work with Max Engelstein and Tatiana Toro.
    We consider the same free boundary functional $J$ as Alt, Caffareli, and Friedman, but consider only almost minimizers $u$, and prove some regularity results for $u$ and the free boundary $\partial \{ u(x) > 0 \}$. The best results (local $C^1$
    free boundary neat a flat point) concern the functional with only one phase. Recall that $J$ looks like this locally:
    $$ J(u) = \int |nabla u(x)|^2 + q_+(x) 1_{\{ u(x) > 0 \} } + q_-(x) 1_{\{ u(x) > 0 \} }$$ for some fixed bounded functions $q_\pm$ that are often assumed bounded from below.

    Updated on Feb 23, 2017 08:38 AM PST

Upcoming Seminars

  1. Analytic Number Theory Seminar: New bounds for the Chebotarev density theorem

    Location: MSRI: Simons Auditorium
    Speakers: Jesse Thorner (Stanford University)

    The Chebotarev density theorem describes the distribution of prime ideals of a number field K with a given ``splitting condition'' in a Galois extension.  This result subsumes many classical results in analytic number theory, including the distribution of primes, quadratic residues, primes in arithmetic progressions, and primes that split completely in a Galois extension.  Lagarias and Odlyzko made this distribution effective, but the effective dependence on the Galois extension is prohibitive in many applications.
    I will discuss new upper and lower bounds for the Chebotarev prime counting function that result from an effective and explicit log-free zero density estimate for Hecke L-functions.  One application is a new explicit bound for the least prime ideal in the Chebotarev density theorem which is commensurate with Linnik's bound on the least prime in an arithmetic progression.  Another application is an altogether new upper bound for the Chebotarev prime counting function which is commensurate with the Brun-Titchmarsh theorem.  We will describe applications to the study of elliptic curves, modular forms, and binary quadratic forms. This is joint work with Asif Zaman.

    Updated on Feb 24, 2017 11:16 AM PST
  2. Analytic Number Theory Graduate Student Seminar

    Location: MSRI: Baker Board Room
    Speakers: Aled Walker (University of Oxford), Alexander Walker (Brown University)
    4.00pm: Aled Walker
    Title: Gowers norms control Diophantine inequalities
    Abstract: The Generalised von Neumann Theorem of Green and Tao is a central tool in the study of systems of linear equations with integer coefficients. In this talk we will discuss how this theorem may be adapted to tackle Diophantine inequalities (namely systems of linear inequalities with irrational coefficients), showing that Gowers norms control the number of solutions. Time permitting, we will consider the case of inequalities with prime variables. 
     
    4.30pm: Alex Walker
    Title: Sums of Fourier Coefficients of Modular Forms
    Abstract: Several arithmetic problems can be encoded into questions about the growth of Fourier coefficients of modular forms.  The Gauss Circle Problem, for example, concerns bounding the error in partial sums of coefficients attached to powers of the theta function.  In this talk I will explain how these partial sums can be understood via Dirichlet series, an atypical approach in a field dominated by exponential sum methods.
    Created on Feb 23, 2017 03:52 PM PST
  3. Harmonic Analysis Graduate Student Seminar

    Location: MSRI: Baker Board Room
    Speakers: Bruno Poggi (University of Minnesota Twin Cities), Zihui Zhao (University of Washington)

    1) Bruno Poggi:

     "On the Exponential Decay of Fundamental Solutions to Certain Schrödinger Operators"

    2)  Zihui Zhao​:
    "Harmonic measure: what you do and don't expect". 
    Updated on Feb 23, 2017 03:35 PM PST
  4. Harmonic Analysis Seminar: Convex body domination and theory of A_p matrix weights revisited

    Location: MSRI: Simons Auditorium
    Speakers: Sergei Treil (Brown University)

    After describing some motivations for  weighted estimates of singular integral operators with matrix weights, I'll discuss the method of estimating vector-valued singular integral operators by the so called sparse operators. In the scalar case the sparse domination is a recently introduced powerful tool of harmonic analysis, and generalizing it to the vector valued case helps in many problems. 
    Of course, trivial generalization does not work: the target space of our sparse operator is the set of convex-body-valued functions. It looks complicated, but the weighted estimated of such operators is an easy task. As an application we get a new easy proof of the weighted estimates of the vector Calderon-Zygmund operators with matrix Muckenhoupt weights. 
    Some intriguing open problems will also be discussed. 
    The talk is partially based on a joint work with F. Nazarov, S. Petermichl and A. Volberg.

    Updated on Feb 23, 2017 11:26 AM PST
  5. HA Postdoc Seminar: Behavior of the Brascamp--Lieb constant and applications

    Location: MSRI: Simons Auditorium
    Speakers: Taryn Flock (University of Birmingham)

    Brascamp-Lieb inequality generalizes many inequalities in analysis, including the Hölder, Loomis-Whitney, and Young convolution inequalities.  Sharp constants for such inequalities have a long history and have only been determined in a few cases. We investigate the stability and regularity of the sharp constant as a function of the implicit parameters. The focus of the talk will be a continuity result with several applications including generalizations with connections to PDEs and Bourgain and Demeter's decoupling method.  The talk will be accessible to members of the Analytic number theory program, and maybe of interest, as the connection to Vinogradov's mean value theorem will be discussed. (joint with Jonathan Bennett, Neal Bez, Michael Cowling and Sanghyuk Lee.)

    Updated on Feb 23, 2017 04:18 PM PST
  6. Harmonic Analysis Seminar: Square functions and geometry of measures

    Location: MSRI: Simons Auditorium
    Speakers: Matthew Badger (University of Connecticut)

    One goal of geometric measure theory is to understand a measure on a space through its interaction with canonical subsets in the space. A basic illustration of this is the dichotomy between atomic measures and atomless measures: the former "live on" countably many points, while the later give measure zero to any singleton. In joint work with Raanan Schul, we have solved an analogous problem of identifying the 1-rectifiable part of a Radon measure in Euclidean space, which "lives on" countably many rectifiable curves, and the purely 1-unrectifiable part of the measure, which gives measure zero to any rectifiable curve. A new tool that we introduce is a "non-homogeneous" or "anisotropic" square function, which allows us to analyze non-doubling Radon measures. In this talk, I will describe the design of the square function, illustrate how it leads to a solution of the underlying geometric measure theory problem, and connect these results with related advances by Azzam-Tolsa and Naber-Valtorta.

    Updated on Feb 24, 2017 09:06 AM PST
  7. Harmonic Analysis Seminar

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

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

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:05 PM PST
  10. Joint ANT & HA Seminar: Spherical Maximal Functions along the Primes

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

    Stein and Bourgain famously proved L^p bounds for the continuous spherical maximal function.  Magyar-Stein-Wainger considered the natural discrete variant, but the sharp l^p(Z^n) bounds are different for this operator.  Motivated by an ergodic version of the Waring-Goldbach problem, we prove l^p(Z^n) bounds for a discrete spherical maximal function along the primes. This is joint work with B. Cook, K. Hughes, and A. Kumchev. 

    Updated on Feb 27, 2017 03:17 PM PST
  11. Harmonic Analysis Seminar

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

    Location: MSRI: Simons Auditorium
    Created on Feb 13, 2017 12:30 PM PST
  13. Harmonic Analysis Seminar: Harmonic measure and harmonic analysis

    Location: MSRI: Simons Auditorium
    Speakers: Alexander Volberg (Michigan State University)

    The talk concerns with several recent results in the theory of harmonic measure: the one, two and three phase problem for harmonic measure. These problems were formulated by Chris Bishop in the early 90's. Along with interesting potential theory ingredients their solutions are based on recent achievements of a non-homogeneous theory of Calder\on--Zygmund operators, on a non-homogeneous T1 theorem, and on a solution of David--Semmes problem that asked to relate the boundedness of singular Riesz transform operator with the wrectifiability of the underlying surface measure.

    Updated on Feb 23, 2017 08:48 AM PST
  14. Harmonic Analysis Seminar

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

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

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

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

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

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

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

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

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

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

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

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

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

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 10:49 AM PST
  28. 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
  29. ANT Postdoc Seminar

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

    Location: MSRI: Simons Auditorium
    Created on Feb 02, 2017 12:05 PM PST
  48. 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
There are more then 30 past seminars. Please go to Past seminars to see all past seminars.