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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'''. The calendar for spring 2019 can be found [[Colloquia/Spring2019|here]].
 +
 
 +
== Fall 2018 ==
  
==[[Tentative Colloquia|Tentative schedule for next semester]] ==
 
  
== Spring 2016  ==
 
 
 
 
{| cellpadding="8"
 
{| cellpadding="8"
!align="left" | date
+
!align="left" | date  
 
!align="left" | speaker
 
!align="left" | speaker
 
!align="left" | title
 
!align="left" | title
 
!align="left" | host(s)
 
!align="left" | host(s)
 
|-
 
|-
| '''January 22'''
+
|Sep 12, 14
|<!--[https://web.math.princeton.edu/~caraiani/ Ana Caraiani] (Princeton)-->
+
| [https://sites.math.washington.edu/~gunther/ Gunther Uhlmann] (Univ. of Washington) Distinguished Lecture series
| <!-- [[Colloquia#September 11:  Speaker (University) | title]] -->
+
|[[# TBA| TBA  ]]
| <!--Host-->
+
| Li
 +
|
 
|-
 
|-
| '''January 28 (Th 4pm VV901)'''
+
|Sep 21
| [https://web.math.princeton.edu/~ssivek/ Steven Sivek] (Princeton)
+
| Andrew Stuart (Caltech) LAA lecture
|     [[Colloquia#September 11: Speaker (University) | The augmentation category of a Legendrian knot]]
+
|[[# TBA|  TBA ]]
| Ellenberg
+
| Jin
 +
|
 
|-
 
|-
| '''January 29'''
+
|Sep 28
|[https://web.math.princeton.edu/~caraiani/ Ana Caraiani] (Princeton)
+
| Gautam Iyer (CMU)
| [[Colloquia#September 11: Ana Caraiani (Princeton) | Locally symmetric spaces, torsion classes, and the geometry of period domains]]
+
|[[# TBA|  TBA ]]
| Ellenberg
+
| Thiffeault
 +
|
 
|-
 
|-
| '''February 5'''
+
|Oct 5
|[http://math.uchicago.edu/~souganidis/ Takis Souganidis] (University of Chicago)
+
| Eyal Subag (Penn State)
| [[Colloquia#September 11: Takis Souganidis (University of Chicago) | Scalar Conservation Laws with Rough Dependence]]
+
|[[# TBA|  TBA ]]
| Lin
+
| Gurevich
 +
|
 
|-
 
|-
| '''February 12'''
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|Oct 12
|[http://www.math.cmu.edu/~gautam/sj/index.html Gautam Iyer] (CMU)  
+
| Arie Levit (Yale)
| [[Colloquia#February 12: Gautam Iyer (CMU)| Homogenization and Anomalous Diffusion]]
+
|[[# TBA|  TBA ]]
| Jean-Luc
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| Gurevich
 +
|
 
|-
 
|-
| '''February 19'''
+
|Oct 19
[https://people.math.osu.edu/lafont.1/ Jean-François Lafont] (Ohio State)  
+
Jeremy Teitelbaum (U Connecticut)
| [[Colloquia#February 19: Jean-François Lafont (Ohio State) | Rigidity and flexibility of almost-isometries]]
+
|[[# TBA|  TBA ]]
| Dymarz
+
| Boston
 +
|
 
|-
 
|-
| '''February 26'''
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|Oct 26
|Hiroyoshi Mitake (Hiroshima university)    
+
| Douglas Ulmer (Arizona)
| [[Colloquia#February 26: Hiroyoshi Mitake (Hiroshima university) | On asymptotic speed of the crystal growth]]
+
|[[# TBA| TBA ]]
| Tran
+
| Yang
 +
|
 
|-
 
|-
| '''March 4'''
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|Nov 2
| [http://www.columbia.edu/~gb2030/ Guillaume Bal] (Columbia University)
+
| Reserved for job talk
| [[Colloquia#September 11:  Guillaume Bal (Columbia University) | Inverse and Control Transport Problems]]
+
|[[# TBA| TBA  ]]
| Li, Jin
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| hosting faculty
 +
|
 
|-
 
|-
| '''March 11'''
+
|Nov 9
| [http://math.umn.edu/~luskin Mitchell Luskin] (University of Minnesota)
+
| Reserved for job talk
| [[Colloquia#March 11:  Mitchell Luskin (UMN) | Mathematical Modeling of Incommensurate 2D Materials]]
+
|[[# TBA| TBA  ]]
| Li
+
| hosting faculty
 +
|
 
|-
 
|-
| '''March 18'''
+
|Nov 16
| [http://www.math.lsa.umich.edu/~spatzier/ Ralf Spatzier] (University of Michigan)   
+
| Reserved for job talk
| CANCELED
+
|[[# TBA|  TBA  ]]
| Dymarz
+
| hosting faculty
 +
|
 
|-
 
|-
| '''March 25'''
+
|Nov 30
| Spring Break<!-- [webpage Speaker Name] (University) -->   
+
| Reserved for job talk
| <!-- [[Colloquia#September 11:  Speaker (University) | title]] -->
+
|[[# TBA| TBA  ]]
| <!-- host -->
+
| hosting faculty
 +
|
 
|-
 
|-
| '''April 1'''
+
|Dec 7
|  
+
| Reserved for job talk
|   CANCELED
+
|[[# TBA|  TBA  ]]
 +
| hosting faculty
 
|
 
|
|-
 
| '''April 8'''
 
| [https://web.math.princeton.edu/~aionescu/ Alexandru Ionescu] (Princeton) 
 
| [[Colloquia#April 8:  Alexandru Ionescu (Princeton) | On long-term existence of solutions of water wave models]]
 
| Wainger/Seeger
 
|-
 
| '''April 15'''
 
| [https://www.kcl.ac.uk/nms/depts/mathematics/people/atoz/wigmani.aspx Igor Wigman] (King's College - London)
 
| [[Colloquia#September 11:  Speaker (University) |Nodal Domains of Eigenfunctions]]
 
| Gurevich/Marshall
 
|-
 
| '''April 22'''
 
| [http://www.cims.nyu.edu/~bourgade/ Paul Bourgade] (NYU)
 
| [[Colloquia#April 22:  Paul Bourgade (NYU) | Random matrices beyond mean-field]]
 
| Seppalainen/Valko
 
|-
 
| '''April 29'''
 
| [http://www.physics.upenn.edu/~kamien/kamiengroup/ Randall Kamien] (U Penn) 
 
| [[Colloquia#April 29:  Randall Kamien (U Penn) | Liquid crystals and their (algebraic) topology]]
 
| Spagnolie
 
|-
 
| '''May 4'''
 
| [https://www.math.ias.edu/people/faculty/sarnak Peter Sarnak] (Princeton and IAS) 
 
| [[Colloquia#May 4:  Peter Sarnak (Princeton and IAS) | Strong approximation for Markoff surfaces]] (Note special day; still 4 pm in B239)
 
| Marshall
 
|-
 
| '''May 6'''
 
|
 
 
|}
 
|}
  
 
== Abstracts ==
 
== Abstracts ==
  
 +
=== <DATE>: <PERSON> (INSTITUTION) ===
 +
Title: <TITLE>
  
=== January 28: Steven Sivek (Princeton) ===
+
Abstract: <ABSTRACT>
Title: The augmentation category of a Legendrian knot
+
  
Abstract: A well-known principle in symplectic geometry says that information about the smooth structure on a manifold should be captured by the symplectic geometry of its cotangent bundle.  One prominent example of this is Nadler and Zaslow's microlocalization correspondence, an equivalence between a category of constructible sheaves on a manifold and a symplectic invariant of its cotangent bundle called the Fukaya category.
 
  
The goal of this talk is to describe a model for a relative version of this story in the simplest case, corresponding to Legendrian knots in the standard contact 3-space.  This construction, called the augmentation category, is a powerful invariant which is defined in terms of holomorphic curves but can also be described combinatorially.  I will describe some interesting properties of this category and relate it to a category of sheaves on the plane.  This is joint work with Lenny Ng, Dan Rutherford, Vivek Shende, and Eric Maslow.
 
  
=== January 29: Ana Caraiani (Princeton) ===
+
== Past Colloquia ==
Title:  Locally symmetric spaces, torsion classes, and the geometry of period domains
+
  
Abstract:  The Langlands program is an intricate network of conjectures, which are meant to connect different areas of mathematics, such as number theory, harmonic analysis and representation theory. One striking consequence of the Langlands program is the Ramanujan conjecture, which is a statement purely within harmonic analysis, about the growth rate of Fourier coefficients of modular forms. It turns out to be intimately connected to the Weil conjectures, a statement about the cohomology of projective, smooth varieties defined over finite fields.
+
[[Colloquia/Blank|Blank]]
  
I will explain this connection and then move towards a mod p analogue of these ideas. More precisely, I will explain a strategy for understanding torsion occurring in the cohomology of locally symmetric spaces and how to detect which degrees torsion will contribute to. The main theorem is joint work with Peter Scholze and relies on a p-adic version of Hodge theory and on recent developments in p-adic geometry.
+
[[Colloquia/Spring2018|Spring 2018]]
  
 +
[[Colloquia/Fall2017|Fall 2017]]
  
=== February 5: Takis Souganidis (University of Chicago) ===
+
[[Colloquia/Spring2017|Spring 2017]]
Title:  Scalar Conservation Laws with Rough Dependence
+
  
I will present a recently developed theory for scalar conservation laws with nonlinear multiplicative rough signal dependence. I will describe the difficulties, introduce the notion of pathwise entropy/kinetic solution and its well-posedness. I will also talk about the long time behavior of the solutions as well as some regularization by noise type results.
+
[[Archived Fall 2016 Colloquia|Fall 2016]]
  
=== February 12:  Gautam Iyer (CMU) ===
+
[[Colloquia/Spring2016|Spring 2016]]
 
+
Homogenization and Anomalous Diffusion
+
 
+
Homogenization is a well known technique used to approximate the macroscopic behaviour of a material with microscopic impurities.
+
While this originally arose in the study of composite materials, it has applications to various other fields, and I will focus on a few results
+
motivated by fluid dynamics. One well known result in this direction is by GI Taylor estimating the dispersion rate of a solute in a pipe. The
+
length scales involved in typical pipelines, however, are too short for this result to apply. I will conclude with a few recent "intermediate time" results describing the effective behaviour in scaling regimes outside those of standard homogenization results.
+
 
+
=== February 19: Jean-François Lafont (Ohio State) ===
+
 
+
Rigidity and flexibility of almost-isometries
+
 
+
An almost isometry (AI) is a quasi-isometry (QI) with multiplicative
+
constant =1. Given two metrics on a closed manifold, Milnor-Swarc implies
+
that the lifted metrics on the universal cover are QI to each other. When are
+
they AI to each other? In the rigidity direction, we give various examples
+
where the only time such lifts are AI is when they are isometric (joint with
+
Kar and Schmidt). In the flexible direction, we show that for higher genus
+
surfaces, any two metrics have lifts which, after possibly scaling one of the
+
lifted metrics, are AI to each other (joint with Schmidt and van Limbeek). In
+
the latter examples, one can further show that the AI is usually not equivariant
+
with respect to the group actions.
+
 
+
=== February 26: Hiroyoshi Mitake (Hiroshima University) ===
+
In the talk, I will propose a model equation to study the crystal growth as a prototype, which is described by a level-set mean curvature flow equation with driving and source terms. We establish the well-posedness of solutions, and study the asymptotic speed. Interestingly, a new type of nonlinear phenomena in terms of asymptotic speed of solutions appears because of the double nonlinear effects coming from the surface evolution and the source term, which is sensitive to the shapes of source terms. This is a joint work with Y. Giga (U. Tokyo), and H. V. Tran (U. Wisconsin-Madison).
+
 
+
=== March 11: Mitchell Luskin (UMN) ===
+
Title: Mathematical Modeling of Incommensurate 2D Materials
+
 
+
Abstract: Incommensurate materials are found in crystals, liquid crystals, and quasi-crystals. Stacking a few layers of 2D materials such as graphene and molybdenum disulfide, for example, opens the possibility to tune the elastic, electronic, and optical properties of these materials. One of the main issues encountered in the mathematical modeling of layered 2D materials is that lattice mismatch and rotations between the layers destroys the periodic character of the system. This leads to complex commensurate-incommensurate transitions and pattern formation.
+
 
+
Even basic concepts like the Cauchy-Born strain energy density, the electronic density of states, and the Kubo-Greenwood formulas for transport properties have not been given a rigorous analysis in the incommensurate setting. New approximate approaches will be discussed and the validity and efficiency of these approximations will be examined from mathematical and numerical analysis perspectives.
+
 
+
===March 18: Ralf Spatzier (UMichigan)===
+
 
+
CANCELED: Rigidity in Geometry and Dynamics
+
 
+
I will survey some rigidity phenomena in dynamics and also geometry, with emphasis on the notion of higher rank.
+
This first emerged in Margulis’ celebrated work on superrrigidity but has also been important in more recent work on symmetry in dynamical systems.
+
How special is it for maps commute with each other?  Smale asked this problem fifty years ago, and answers are finally emerging.  Much depends on the differentiability
+
of the maps: it gets harder the more differentiable the map is. Sometimes we can even classify such maps.  I’ll discuss this and
+
related phenomena.
+
 
+
 
+
 
+
=== April 8: Alexandru Ionescu (Princeton) ===
+
 
+
Title:  On long-term existence of solutions of water wave models
+
 
+
I will talk about some recent work on long-term/global regularity of solutions of water wave models in 2 and 3 dimensions. The
+
models we consider describe the evolution of an inviscid perfect fluid in
+
a free boundary domain, under the influence of gravity and/or surface
+
tension. This is joint work with Fabio Pusateri and, in part, with Yu Deng and
+
Benoit Pausader.
+
 
+
 
+
===April 22: Paul Bourgade (NYU)===
+
 
+
Title: Random matrices beyond mean-field
+
 
+
 
+
Random matrix statistics were proposed by Eugene Wigner as a new class of universal statistical laws for highly correlated systems. 
+
We will first review established instances of this conjecture for mean-field matrix models. We will then propose an approach towards the spectral analysis of non mean-field models, which are closer to Wigner's original vision.
+
A key role is played by a new patching of quantum unique ergodicity estimates.
+
 
+
 
+
=== April 29: Randall Kamien (U Penn) ===
+
 
+
Title: Liquid Crystals and their (Algebraic) Topology
+
 
+
Liquid Crystals, the materials in your iPhone, are complex materials with varying degrees of internal order.  I will discuss and demonstrate how algebraic topology can be used to identify and characterize long-lived configurations.  I will also describe how conic sections naturally arise in these structures as intersections of simple polynomials.
+
 
+
=== May 4: Peter Sarnak (Princeton and IAS) ===
+
 
+
Title: Strong approximation for Markoff surfaces
+
 
+
We discuss the transitivity properties of the group of morphisms generated by Vieta involutions on the solutions in congruences to the Markoff equation as well as to other Markoff type affine cubic surfaces. These are dictated in part by the finite orbits of these actions on the algebraic points. The latter can be determined effectively and in special cases is connected to the problem of determining all algebraic Painleve VI's. Applications to forms of strong approximation for integer points and to sieving on such affine surfaces, as well as to Markoff numbers will be given.
+
 
+
Joint work with J.Bourgain and A.Gamburd.
+
===
+
 
+
== Past Colloquia ==
+
  
 
[[Colloquia/Fall2015|Fall 2015]]
 
[[Colloquia/Fall2015|Fall 2015]]

Latest revision as of 10:31, 6 August 2018

Mathematics Colloquium

All colloquia are on Fridays at 4:00 pm in Van Vleck B239, unless otherwise indicated. The calendar for spring 2019 can be found here.

Fall 2018

date speaker title host(s)
Sep 12, 14 Gunther Uhlmann (Univ. of Washington) Distinguished Lecture series TBA Li
Sep 21 Andrew Stuart (Caltech) LAA lecture TBA Jin
Sep 28 Gautam Iyer (CMU) TBA Thiffeault
Oct 5 Eyal Subag (Penn State) TBA Gurevich
Oct 12 Arie Levit (Yale) TBA Gurevich
Oct 19 Jeremy Teitelbaum (U Connecticut) TBA Boston
Oct 26 Douglas Ulmer (Arizona) TBA Yang
Nov 2 Reserved for job talk TBA hosting faculty
Nov 9 Reserved for job talk TBA hosting faculty
Nov 16 Reserved for job talk TBA hosting faculty
Nov 30 Reserved for job talk TBA hosting faculty
Dec 7 Reserved for job talk TBA hosting faculty

Abstracts

<DATE>: <PERSON> (INSTITUTION)

Title: <TITLE>

Abstract: <ABSTRACT>


Past Colloquia

Blank

Spring 2018

Fall 2017

Spring 2017

Fall 2016

Spring 2016

Fall 2015

Spring 2015

Fall 2014

Spring 2014

Fall 2013

Spring 2013

Fall 2012