Difference between revisions of "Colloquia/Fall18"

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= Mathematics Colloquium =
 
= 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 [[Colloquia/Spring2019|here]].
+
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.
  
== Fall 2018 ==
+
The calendar for spring 2019 can be found [[Colloquia/Spring2019|here]].
  
 +
==Spring 2019==
  
 
{| cellpadding="8"
 
{| cellpadding="8"
Line 12: Line 13:
 
!align="left" | host(s)
 
!align="left" | host(s)
 
|-
 
|-
|Sep 12
+
|Jan 25
| [https://sites.math.washington.edu/~gunther/ Gunther Uhlmann] (Univ. of Washington) Distinguished Lecture series
+
| [http://www.users.miamioh.edu/randrib/ Beata Randrianantoanina] (Miami University Ohio) WIMAW
|[[#Sep 12: Gunther Uhlmann (Univ. of Washington)|  Harry Potter's Cloak via Transformation Optics ]]
+
|[[#Beata Randrianantoanina (Miami University Ohio) |  Some nonlinear problems in the geometry of Banach spaces and their applications ]]
| Li
+
| Tullia Dymarz
 
|
 
|
 
|-
 
|-
|Sep 14
+
|Jan 30 '''Wednesday'''
| [https://sites.math.washington.edu/~gunther/ Gunther Uhlmann] (Univ. of Washington) Distinguished Lecture series
+
| [https://services.math.duke.edu/~pierce/ Lillian Pierce] (Duke University)
|[[# Sep 14Journey to the Center of the Earth  ]]
+
|[[#Lillian Pierce (Duke University) Short character sums  ]]
| Li
+
| Boston and Street
 
|
 
|
 
|-
 
|-
|Sep 21
+
|Jan 31 '''Thursday'''
| Andrew Stuart (Caltech) LAA lecture
+
| [http://www.math.tamu.edu/~dbaskin/ Dean Baskin] (Texas A&M)
 +
|[[#Dean Baskin (Texas A&M) | Radiation fields for wave equations  ]]
 +
| Street
 +
|
 +
|-
 +
|Feb 1
 +
| [https://services.math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke University)
 +
|[[# TBA|  TBA  ]]
 +
| Qin
 +
|
 +
|-
 +
|Feb 5 '''Tuesday'''
 +
| [http://www.math.tamu.edu/~alexei.poltoratski/ Alexei Poltoratski] (Texas A&M University)
 
|[[# TBA|  TBA  ]]
 
|[[# TBA|  TBA  ]]
| Jin
+
| Denisov
 +
|
 +
|-
 +
|Feb 8
 +
| [https://sites.math.northwestern.edu/~anaber/ Aaron Naber] (Northwestern)
 +
|[[#Aaron Naber (Northwestern) |  A structure theory for spaces with lower Ricci curvature bounds  ]]
 +
| Street
 
|
 
|
 
|-
 
|-
|Sep 28
+
|Feb 15
| Gautam Iyer (CMU)
+
|  
 
|[[# TBA|  TBA  ]]
 
|[[# TBA|  TBA  ]]
| Thiffeault
+
|  
 
|
 
|
 
|-
 
|-
|Oct 5
+
|Feb 22
| Eyal Subag (Penn State)
+
| [https://people.math.osu.edu/cueto.5/ Angelica Cueto] (Ohio State)
 
|[[# TBA|  TBA  ]]
 
|[[# TBA|  TBA  ]]
| Gurevich
+
| Erman and Corey
 +
|
 +
|-
 +
|March 4
 +
| [http://www-users.math.umn.edu/~sverak/ Vladimir Sverak] (Minnesota) Wasow lecture
 +
|[[# TBA| TBA ]]
 +
| Kim
 
|
 
|
 
|-
 
|-
|Oct 12
+
|March 8
| Arie Levit (Yale)
+
| [https://orion.math.iastate.edu/jmccullo/index.html Jason McCullough] (Iowa State)
 
|[[# TBA|  TBA  ]]
 
|[[# TBA|  TBA  ]]
| Gurevich
+
| Erman
 
|
 
|
 
|-
 
|-
|Oct 19
+
|March 15
| Jeremy Teitelbaum (U Connecticut)
+
| Maksym Radziwill (Caltech)
 
|[[# TBA|  TBA  ]]
 
|[[# TBA|  TBA  ]]
| Boston
+
| Marshall
 
|
 
|
 
|-
 
|-
|Oct 26
+
|March 29
| Douglas Ulmer (Arizona)
+
| Jennifer Park (OSU)
 
|[[# TBA|  TBA  ]]
 
|[[# TBA|  TBA  ]]
| Yang
+
| Marshall
 
|
 
|
 
|-
 
|-
|Nov 2
+
|April 5
| Reserved for job talk
+
| Ju-Lee Kim (MIT)
 
|[[# TBA|  TBA  ]]
 
|[[# TBA|  TBA  ]]
| hosting faculty
+
| Gurevich
 
|
 
|
 
|-
 
|-
|Nov 9
+
|April 12
| Reserved for job talk
+
| Evitar Procaccia (TAMU)
 
|[[# TBA|  TBA  ]]
 
|[[# TBA|  TBA  ]]
| hosting faculty
+
| Gurevich
 
|
 
|
 
|-
 
|-
|Nov 16
+
|April 19
| Reserved for job talk
+
| [http://www.math.rice.edu/~jkn3/ Jo Nelson] (Rice University)
 
|[[# TBA|  TBA  ]]
 
|[[# TBA|  TBA  ]]
| hosting faculty
+
| Jean-Luc
 
|
 
|
 
|-
 
|-
|Nov 30
+
|April 26
| Reserved for job talk
+
| [https://www.brown.edu/academics/applied-mathematics/faculty/kavita-ramanan/home Kavita Ramanan] (Brown University)
 
|[[# TBA|  TBA  ]]
 
|[[# TBA|  TBA  ]]
| hosting faculty
+
| WIMAW
 
|
 
|
 
|-
 
|-
|Dec 7
+
|May 3
| Reserved for job talk
+
| Tomasz Przebinda (Oklahoma)
 
|[[# TBA|  TBA  ]]
 
|[[# TBA|  TBA  ]]
| hosting faculty
+
| Gurevich
 
|
 
|
 
|}
 
|}
Line 93: Line 118:
 
== Abstracts ==
 
== Abstracts ==
  
=== Sep 12: Gunther Uhlmann (Univ. of Washington) ===
+
===Beata Randrianantoanina (Miami University Ohio)===
Title: Harry Potter's Cloak via Transformation Optics
 
  
Abstract: Can we make objects invisible? This has been a subject of human
+
Title: Some nonlinear problems in the geometry of Banach spaces and their applications.
fascination for millennia in Greek mythology, movies, science fiction,
 
etc. including the legend of Perseus versus Medusa and the more recent
 
Star Trek and Harry Potter. In the last fifteen years or so there have been
 
several scientific proposals to achieve invisibility. We will introduce in a non-technical fashion
 
one of them, the so-called "traansformation optics"
 
in a non-technical fashion n the so-called that has received the most attention in the
 
scientific literature.
 
  
 +
Abstract: Nonlinear problems in the geometry of Banach spaces have been studied since the inception of the field. In this talk I will outline some of the history, some of modern applications, and some open directions of research. The talk will be accessible to graduate students of any field of mathematics.
  
=== Sep 14: Gunther Uhlmann (Univ. of Washington) ===
+
===Lillian Pierce (Duke University)===
Title: Journey to the Center of the Earth
 
  
Abstract: We will consider the inverse problem of determining the sound
+
Title: Short character sums
speed or index of refraction of a medium by measuring the travel times of
 
waves going through the medium. This problem arises in global seismology
 
in an attempt to determine the inner structure of the Earth by measuring
 
travel times of earthquakes. It has also several applications in optics
 
and medical imaging among others.
 
  
The problem can be recast as a geometric problem: Can one determine the
+
Abstract: A surprisingly diverse array of problems in analytic number theory have at their heart a problem of bounding (from above) an exponential sum, or its multiplicative cousin, a so-called character sum. For example, both understanding the Riemann zeta function or Dirichlet L-functions inside the critical strip, and also counting solutions to Diophantine equations via the circle method or power sieve methods, involve bounding such sums. In general, the sums of interest fall into one of two main regimes: complete sums or incomplete sums, with this latter regime including in particular “short sums.” Short sums are particularly useful, and particularly resistant to almost all known methods. In this talk, we will see what makes a sum “short,” sketch why it would be incredibly powerful to understand short sums, and discuss a curious proof from the 1950’s which is still the best way we know to bound short sums. We will end by describing new work which extends the ideas of this curious proof to bound short sums in much more general situations.
Riemannian metric of a Riemannian manifold with boundary by measuring
 
the distance function between boundary points? This is the boundary
 
rigidity problem. We will also consider the problem of determining
 
the metric from the scattering relation, the so-called lens rigidity
 
problem. The linearization of these problems involve the integration
 
of a tensor along geodesics, similar to the X-ray transform.
 
  
We will also describe some recent results, join with Plamen Stefanov
+
===Dean Baskin (Texas A&M)===
and Andras Vasy, on the partial data case, where you are making
 
measurements on a subset of the boundary. No previous knowledge of
 
Riemannian geometry will be assumed.
 
  
 +
Title: Radiation fields for wave equations
 +
 +
Abstract: Radiation fields are rescaled limits of solutions of wave equations near "null infinity" and capture the radiation pattern seen by a distant observer. They are intimately connected with the Fourier and Radon transforms and with scattering theory. In this talk, I will define and discuss radiation fields in a few contexts, with an emphasis on spacetimes that look flat near infinity. The main result is a connection between the asymptotic behavior of the radiation field and a family of quantum objects on an associated asymptotically hyperbolic space.
 +
 +
===Aaron Naber (Northwestern)===
 +
 +
Title:  A structure theory for spaces with lower Ricci curvature bounds.
 +
 +
Abstract:  One should view manifolds (M^n,g) with lower Ricci curvature bounds as being those manifolds with a well behaved analysis, a point which can be rigorously stated.  It thus becomes a natural question, how well behaved or badly behaved can such spaces be?  This is a nonlinear analogue to asking how degenerate can a subharmonic or plurisubharmonic function look like.  In this talk we give an essentially sharp answer to this question.  The talk will require little background, and our time will be spent on understanding the basic statements and examples.  The work discussed is joint with Cheeger, Jiang and with Li.
  
  
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[[Colloquia/Blank|Blank]]
 
[[Colloquia/Blank|Blank]]
 +
 +
[[Colloquia/Fall2018|Fall 2018]]
  
 
[[Colloquia/Spring2018|Spring 2018]]
 
[[Colloquia/Spring2018|Spring 2018]]

Latest revision as of 09:43, 24 January 2019

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.

Spring 2019

date speaker title host(s)
Jan 25 Beata Randrianantoanina (Miami University Ohio) WIMAW Some nonlinear problems in the geometry of Banach spaces and their applications Tullia Dymarz
Jan 30 Wednesday Lillian Pierce (Duke University) Short character sums Boston and Street
Jan 31 Thursday Dean Baskin (Texas A&M) Radiation fields for wave equations Street
Feb 1 Jianfeng Lu (Duke University) TBA Qin
Feb 5 Tuesday Alexei Poltoratski (Texas A&M University) TBA Denisov
Feb 8 Aaron Naber (Northwestern) A structure theory for spaces with lower Ricci curvature bounds Street
Feb 15 TBA
Feb 22 Angelica Cueto (Ohio State) TBA Erman and Corey
March 4 Vladimir Sverak (Minnesota) Wasow lecture TBA Kim
March 8 Jason McCullough (Iowa State) TBA Erman
March 15 Maksym Radziwill (Caltech) TBA Marshall
March 29 Jennifer Park (OSU) TBA Marshall
April 5 Ju-Lee Kim (MIT) TBA Gurevich
April 12 Evitar Procaccia (TAMU) TBA Gurevich
April 19 Jo Nelson (Rice University) TBA Jean-Luc
April 26 Kavita Ramanan (Brown University) TBA WIMAW
May 3 Tomasz Przebinda (Oklahoma) TBA Gurevich

Abstracts

Beata Randrianantoanina (Miami University Ohio)

Title: Some nonlinear problems in the geometry of Banach spaces and their applications.

Abstract: Nonlinear problems in the geometry of Banach spaces have been studied since the inception of the field. In this talk I will outline some of the history, some of modern applications, and some open directions of research. The talk will be accessible to graduate students of any field of mathematics.

Lillian Pierce (Duke University)

Title: Short character sums

Abstract: A surprisingly diverse array of problems in analytic number theory have at their heart a problem of bounding (from above) an exponential sum, or its multiplicative cousin, a so-called character sum. For example, both understanding the Riemann zeta function or Dirichlet L-functions inside the critical strip, and also counting solutions to Diophantine equations via the circle method or power sieve methods, involve bounding such sums. In general, the sums of interest fall into one of two main regimes: complete sums or incomplete sums, with this latter regime including in particular “short sums.” Short sums are particularly useful, and particularly resistant to almost all known methods. In this talk, we will see what makes a sum “short,” sketch why it would be incredibly powerful to understand short sums, and discuss a curious proof from the 1950’s which is still the best way we know to bound short sums. We will end by describing new work which extends the ideas of this curious proof to bound short sums in much more general situations.

Dean Baskin (Texas A&M)

Title: Radiation fields for wave equations

Abstract: Radiation fields are rescaled limits of solutions of wave equations near "null infinity" and capture the radiation pattern seen by a distant observer. They are intimately connected with the Fourier and Radon transforms and with scattering theory. In this talk, I will define and discuss radiation fields in a few contexts, with an emphasis on spacetimes that look flat near infinity. The main result is a connection between the asymptotic behavior of the radiation field and a family of quantum objects on an associated asymptotically hyperbolic space.

Aaron Naber (Northwestern)

Title: A structure theory for spaces with lower Ricci curvature bounds.

Abstract: One should view manifolds (M^n,g) with lower Ricci curvature bounds as being those manifolds with a well behaved analysis, a point which can be rigorously stated. It thus becomes a natural question, how well behaved or badly behaved can such spaces be? This is a nonlinear analogue to asking how degenerate can a subharmonic or plurisubharmonic function look like. In this talk we give an essentially sharp answer to this question. The talk will require little background, and our time will be spent on understanding the basic statements and examples. The work discussed is joint with Cheeger, Jiang and with Li.


Past Colloquia

Blank

Fall 2018

Spring 2018

Fall 2017

Spring 2017

Fall 2016

Spring 2016

Fall 2015

Spring 2015

Fall 2014

Spring 2014

Fall 2013

Spring 2013

Fall 2012