Difference between revisions of "Colloquia"

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= Mathematics Colloquium =
 
= Mathematics Colloquium =
  
 
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.
 
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.
  
<!-- ==[[Tentative Colloquia|Tentative schedule for next semester]] == -->
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== Spring 2018 ==
 
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==Fall 2017==
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{| cellpadding="8"
 
{| cellpadding="8"
!align="left" | Date    
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!align="left" | date    
!align="left" | Speaker
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!align="left" | speaker
!align="left" | Title
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!align="left" | title
!align="left" | Host(s)
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!align="left" | host(s)
 
|-
 
|-
|September 8
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|January 30
| [https://sites.google.com/a/wisc.edu/theresa-c-anderson/home/ Tess Anderson] (Madison)
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| [http://www.math.columbia.edu/~chaoli/ Li Chao] (Columbia)
|[[#September 8: Tess Anderson (Madison) |  A Spherical Maximal Function along the Primes  ]]
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| Yang
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|
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|-
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|September 15
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|
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|[[#|  ]]
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|
+
|
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|
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|-
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|September 22, '''9th floor'''
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| Jaeyoung Byeon (KAIST)
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|[[#September 22: Jaeyoung Byeon (KAIST) |  Patterns formation for elliptic systems with large interaction forces  ]]
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| Rabinowitz & Kim
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|
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|-
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|September 29
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|
+
 
|[[# TBA|  TBA  ]]
 
|[[# TBA|  TBA  ]]
|
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| Jordan Ellenberg
 
|
 
|
 
|-
 
|-
|October 6,  '''9th floor'''
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|February 2
| [http://www3.nd.edu/~jhauenst/ Jonathan Hauenstein] (Notre Dame)
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| [https://scholar.harvard.edu/tfai/home Thomas Fai] (Harvard)
|[[#October 6: Jonathan Hauenstein (Notre Dame) |  Real solutions of polynomial equations ]]
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| Boston
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|
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|-
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|October 13, '''9th floor'''
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| [http://www.tomokokitagawa.com/ Tomoko L. Kitagawa] (Berkeley)
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|[[#October 13: Tomoko Kitagawa (Berkeley) |  A Global History of Mathematics from 1650 to 2017 ]]
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| Max
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|
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|-
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|October 20
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|  [http://cims.nyu.edu/~pgermain/ Pierre Germain] (Courant, NYU)
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|[[#October 13: Pierre Germain (Courant, NYU) |  Stability of the Couette flow in the Euler and Navier-Stokes equations ]]
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|  Minh-Binh Tran
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|
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|-
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|October 27
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|Stefanie Petermichl (Toulouse)
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|[[#October 27: Stefanie Petermichl (Toulouse)  |  Higher order Journé commutators  ]]
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| Stovall, Seeger
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|
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|-
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|We, November 1, B239
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|[http://pages.iu.edu/~shaoguo/  Shaoming Guo] (Indiana)
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|[[#November 1: Shaoming Guo (Indiana)|  Parsell-Vinogradov systems in higher dimensions  ]]
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|Seeger
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|
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|-
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|November 3
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|[[# TBA|  TBA  ]]
 
|[[# TBA|  TBA  ]]
 +
| Spagnolie, Smith
 
|
 
|
|
 
|-
 
|November 10
 
| Reserved for possible job talks
 
|[[# TBA|  TBA  ]]
 
|
 
|
 
|-
 
|November 17
 
| Reserved for possible job talks
 
|[[# TBA|  TBA  ]]
 
|
 
|
 
|-
 
|November 24
 
|'''Thanksgiving break'''
 
|[[# TBA|  TBA  ]]
 
|
 
|
 
|-
 
|December 1
 
| Reserved for possible job talks
 
|[[# TBA|  TBA  ]]
 
|
 
|
 
|-
 
|December 8
 
| Reserved for possible job talks
 
|[[# TBA|  TBA  ]]
 
|
 
|
 
|-
 
|December 11
 
| Connor Mooney (ETH Zurich)
 
|[[#December 11: Connor Mooney|  Finite time blowup for parabolic systems in the plane]]
 
|
 
|
 
|-
 
 
|}
 
 
== Fall Abstracts ==
 
=== September 8: Tess Anderson (Madison) ===
 
Title: A Spherical Maximal Function along the Primes
 
 
Abstract: Many problems at the interface of analysis and number theory involve showing that the primes, though deterministic, exhibit random behavior.  The Green-Tao theorem stating that the primes contain infinitely long arithmetic progressions is one such example.  In this talk, we show that prime vectors equidistribute on the sphere in the same manner as a random set of integer vectors would be expected to.  We further quantify this with explicit bounds for naturally occurring maximal functions, which connects classical tools from harmonic analysis with analytic number theory.  This is joint work with Cook, Hughes, and Kumchev.
 
 
 
=== September 22: Jaeyoung Byeon (KAIST) ===
 
Title: Patterns formation for elliptic systems with large interaction forces
 
 
Abstract: Nonlinear elliptic systems arising from nonlinear Schroedinger systems have simple looking reaction terms. The corresponding energy for the reaction terms can be expressed as quadratic forms in terms of density functions.  The i, j-th entry of the matrix for the quadratic form represents the interaction force between the components i and j of the system. If the sign of an entry is positive, the force between the two components is attractive; on the other hand, if it is negative, it is repulsive. When the interaction forces between different components are large, the network structure of attraction and repulsion between components might produce several interesting patterns for solutions. As a starting point to study the general pattern formation structure for systems with a large number of components, I will first discuss the simple case of 2-component systems, and then the much more complex case of 3-component systems.
 
 
===October 6: Jonathan Hauenstein (Notre Dame) ===
 
Title: Real solutions of polynomial equations
 
 
Abstract: Systems of nonlinear polynomial equations arise frequently in applications with the set of real solutions typically corresponding to physically meaningful solutions.  Efficient algorithms for computing real solutions are designed by exploiting structure arising from the application.  This talk will highlight some of these algorithms for various applications such as solving steady-state problems of hyperbolic conservation laws, solving semidefinite programs, and computing all steady-state solutions of the Kuramoto model.
 
 
===October 13: Tomoko Kitagawa (Berkeley) ===
 
Title: A Global History of Mathematics from 1650 to 2017
 
 
Abstract: This is a talk on the global history of mathematics. We will first focus on France by revisiting some of the conversations between Blaise Pascal (1623–1662) and Pierre de Fermat (1607–1665). These two “mathematicians” discussed ways of calculating the possibility of winning a gamble and exchanged their opinions on geometry. However, what about the rest of the world? We will embark on a long oceanic voyage to get to East Asia and uncover the unexpected consequences of blending foreign mathematical knowledge into domestic intelligence, which was occurring concurrently in Beijing and Kyoto. How did mathematicians and scientists contribute to the expansion of knowledge? What lessons do we learn from their experiences?
 
 
 
 
===October 20: Pierre Germain (Courant, NYU) ===
 
Title: Stability of the Couette flow in the Euler and Navier-Stokes equations
 
 
Abstract: I will discuss the question of the (asymptotic) stability of the Couette flow in Euler and Navier-Stokes. The Couette flow is the simplest nontrivial stationary flow, and the first one for which this question can be fully answered. The answer involves the mathematical understanding of important physical phenomena such as inviscid damping and enhanced dissipation. I will present recent results in dimension 2 (Bedrossian-Masmoudi) and dimension 3 (Bedrossian-Germain-Masmoudi).
 
 
===October 27: Stefanie Petermichl (Toulouse)===
 
Title: Higher order Journé commutators
 
 
Abstract: We consider questions that stem from operator theory via Hankel and
 
Toeplitz forms and target (weak) factorisation of Hardy spaces. In
 
more basic terms, let us consider a function on the unit circle in its
 
Fourier representation. Let P_+ denote the projection onto
 
non-negative and P_- onto negative frequencies. Let b denote
 
multiplication by the symbol function b. It is a classical theorem by
 
Nehari that the composed operator P_+ b P_- is bounded on L^2 if and
 
only if b is in an appropriate space of functions of bounded mean
 
oscillation. The necessity makes use of a classical factorisation
 
theorem of complex function theory on the disk. This type of question
 
can be reformulated in terms of commutators [b,H]=bH-Hb with the
 
Hilbert transform H=P_+ - P_- . Whenever factorisation is absent, such
 
as in the real variable setting, in the multi-parameter setting or
 
other, these classifications can be very difficult.
 
 
Such lines were begun by Coifman, Rochberg, Weiss (real variables) and
 
by Cotlar, Ferguson, Sadosky (multi-parameter) of characterisation of
 
spaces of bounded mean oscillation via L^p boundedness of commutators.
 
We present here an endpoint to this theory, bringing all such
 
characterisation results under one roof.
 
 
The tools used go deep into modern advances in dyadic harmonic
 
analysis, while preserving the Ansatz from classical operator theory.
 
 
===November 1: Shaoming Guo (Indiana) ===
 
Title: Parsell-Vinogradov systems in higher dimensions
 
 
Abstract:
 
I will present a few results on counting the numbers of integer solutions of Parsell-Vinogradov systems in higher dimensions.
 
Applications to Waring’s problem and to the problem of counting rational linear subspaces lying on certain hyper-surface will be discussed.
 
Joint works with Jean Bourgain, Ciprian Demeter and Ruixiang Zhang.
 
 
===December 11: Connor Mooney (ETH Zurich)===
 
Title: Finite time blowup for parabolic systems in the plane
 
 
Abstract:
 
Hilbert's 19th problem asks about the smoothness of solutions to nonlinear elliptic PDE that arise in the calculus of variations. This problem leads naturally to the question of continuity for solutions to linear elliptic and parabolic systems with measurable coefficients. We will first discuss some classical results on this topic, including Morrey's result that solutions to linear elliptic systems in two dimensions are continuous. We will then discuss surprising recent examples of finite time blowup from smooth data for linear parabolic systems in two dimensions, and important open problems.
 
 
== Spring 2018 ==
 
 
{| cellpadding="8"
 
!align="left" | date 
 
!align="left" | speaker
 
!align="left" | title
 
!align="left" | host(s)
 
 
|-
 
|-
 
| March 16
 
| March 16
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|}
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== Spring Abstracts ==
 
== Spring Abstracts ==
  
=== <DATE>: <PERSON> (INSTITUTION) ===
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<DATE>: <PERSON> (INSTITUTION)
 
Title: <TITLE>
 
Title: <TITLE>
  
 
Abstract: <ABSTRACT>
 
Abstract: <ABSTRACT>
 
  
 
== Past Colloquia ==
 
== Past Colloquia ==
  
 
[[Colloquia/Blank|Blank Colloquia]]
 
[[Colloquia/Blank|Blank Colloquia]]
 +
 +
[[Colloquia/Fall2017|Fall 2017]]
  
 
[[Colloquia/Spring2017|Spring 2017]]
 
[[Colloquia/Spring2017|Spring 2017]]

Latest revision as of 09:53, 8 January 2018

Mathematics Colloquium

All colloquia are on Fridays at 4:00 pm in Van Vleck B239, unless otherwise indicated.

Spring 2018

date speaker title host(s)
January 30 Li Chao (Columbia) TBA Jordan Ellenberg
February 2 Thomas Fai (Harvard) TBA Spagnolie, Smith
March 16 Anne Gelb (Dartmouth) TBA WIMAW
April 4 (Wednesday) John Baez (UC Riverside) TBA Craciun
April 6 Reserved TBA Melanie
April 13 Jill Pipher (Brown) TBA WIMAW
April 25 (Wednesday) Hitoshi Ishii (Waseda University) Wasow lecture TBA Tran
date person (institution) TBA hosting faculty
date person (institution) TBA hosting faculty
date person (institution) TBA hosting faculty
date person (institution) TBA hosting faculty
date person (institution) TBA hosting faculty
date person (institution) TBA hosting faculty
date person (institution) TBA hosting faculty
date person (institution) TBA hosting faculty
date person (institution) TBA hosting faculty


Spring Abstracts

<DATE>: <PERSON> (INSTITUTION) Title: <TITLE>

Abstract: <ABSTRACT>

Past Colloquia

Blank Colloquia

Fall 2017

Spring 2017

Fall 2016

Spring 2016

Fall 2015

Spring 2015

Fall 2014

Spring 2014

Fall 2013

Spring 2013

Fall 2012