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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]] == -->
The calendar for spring 2019 can be found [[Colloquia/Spring2019|here]].
 
== Fall 2018 ==


== Fall 2016  ==
 
{| cellpadding="8"
!align="left" | date 
!align="left" | speaker
!align="left" | title
!align="left" | host(s)
|-
|September 9
|
|[[#  |    ]]
|
|
|-
|September 16
|[http://www.math.cmu.edu/~ploh/ Po-Shen Loh] (CMU)
|TBA
|Ellenberg
|
|-
|September 23
| [http://www.math.wisc.edu/~craciun/ Gheorghe Craciun] (UW-Madison)
|TBA
| Street
|[[#  |    ]]
|-
|September 30
|[http://math.uga.edu/~magyar/ Akos Magyar]  (University of Georgia)
|Geometric Ramsey theory
| Cook
|
|-
|October 7
|  [http://www.math.stonybrook.edu/~mde/ Mark Andrea de Cataldo]  (Stony Brook)
|TBA
| Maxim
|
|-
|October 14
|  [https://www.math.lsu.edu/~llong/ Ling Long] (LSU)
|TBA
| Yang
|
|-
|October 21
|'''No colloquium this week'''
|[[#  |    ]]
|
|
|-
|October 28
|  [http://order.ph.utexas.edu/people/Reichl.htm Linda Reichl] (UT Austin)
|TBA
|Minh-Binh Tran
|
|-
|November 4
| [https://www.math.ucdavis.edu/~shkoller/ Steve Shkoller] (UC Davis)
|TBA
| Feldman
|
|-
|November 11
|  Reserved for possible job talks
|[[# |    ]]
|
|
|-
|November 18
|  Reserved for possible job talks
|[[# |    ]]
|
|
|-
|November 25
|  '''Thanksgiving break'''
|[[# |    ]]
|
|
|-
|December 2
|  Reserved for possible job talks
|[[# |    ]]
|
|
|-
|December 9
|  Reserved for possible job talks
|[[# |    ]]
|
|}


== Spring 2017  ==
 
{| cellpadding="8"
{| cellpadding="8"
!align="left" | date   
!align="left" | date   
Line 109: Line 14:
!align="left" | host(s)
!align="left" | host(s)
|-
|-
|January 20
|Sep 12    '''Room 911'''
|Reserved for possible job talks 
| [https://sites.math.washington.edu/~gunther/ Gunther Uhlmann] (Univ. of Washington) Distinguished Lecture series
|[[#  |    ]]
|[[#Sep 12: Gunther Uhlmann (Univ. of Washington)|  Harry Potter's Cloak via Transformation Optics ]]
|
| Li
|
|
|-
|-
|January 27
|Sep 14    '''Room 911'''
|Reserved for possible job talks
| [https://sites.math.washington.edu/~gunther/ Gunther Uhlmann] (Univ. of Washington) Distinguished Lecture series
|[[# |   ]]
|[[#Sep 14: Gunther Uhlmann (Univ. of Washington) | Journey to the Center of the Earth  ]]
|  
| Li
|
|
|-
|-
|February 3
|Sep 21    '''Room 911'''
| [http://stuart.caltech.edu/ Andrew Stuart] (Caltech) LAA lecture
|[[# |    ]]
|[[#Sep 21: Andrew Stuart (Caltech) The Legacy of Rudolph Kalman  ]]
|
|-
|February 6 (Wasow lecture)
| Benoit Perthame (University of Paris VI)
|[[# TBATBA ]]  
| Jin
| Jin
|-
|February 10
| '''No Colloquium'''
|[[# |  ]]
|
|
|
|-
|-
|February 17
|Sep 28
|
| [https://www.math.cmu.edu/~gautam/sj/index.html Gautam Iyer] (CMU)
|[[#   |     ]]
|[[#Sep 28: Gautam Iyer (CMU)| Stirring and Mixing ]]
|  
| Thiffeault
|
|
|-
|-
|February 24
|Oct 5
|
| [http://www.personal.psu.edu/eus25/ Eyal Subag] (Penn State)
|[[#  |    ]]
|[[#Oct 5: Eyal Subag (Penn State)|  Symmetries of the hydrogen atom and algebraic families ]]
|  
| Gurevich
|
|
|-
|-
|March 3
|Oct 12
| [http://www.math.utah.edu/~bromberg/ Ken Bromberg] (University of Utah)
| Arie Levit (Yale)
|[[# |   ]]
|[[# TBA| TBA  ]]
|Dymarz
| Gurevich
|
|
|-
|-
|Tuesday, March 7, 4PM (Distinguished Lecture)
|Oct 19
| [http://pages.iu.edu/~temam/ Roger Temam] (Indiana University)  
Jeremy Teitelbaum (U Connecticut)
|[[#  |    ]]
|[[# TBA|  TBA ]]
|Smith
| Boston
|
|
|-
|-
|Wednesday, March 8, 2:25PM
|Oct 26
| [http://pages.iu.edu/~temam/  Roger Temam] (Indiana University)  
| Douglas Ulmer (Arizona)
|[[#  |    ]]
|[[# TBA|  TBA ]]
|Smith
| Yang
|
|
|-
|-
|March 10
|Nov 2
| '''No Colloquium'''
| Reserved for job talk
|[[# |   ]]
|[[# TBA| TBA  ]]
|
| hosting faculty
|
|
|-
|-
|March 17
|Nov 9
|  
| Reserved for job talk
|[[#  |    ]]
|[[# TBA|  TBA ]]
|  
| hosting faculty
|
|
|-
|-
|March 24
|Nov 16
| '''Spring Break'''
| Reserved for job talk
|[[# |   ]]
|[[# TBA| TBA  ]]
|
| hosting faculty
|
|
|-
|-
|Wednesday, March 29 (Wasow)
|Nov 30
| [https://math.nyu.edu/faculty/serfaty/ Sylvia Serfaty] (NYU)
| Reserved for job talk
|[[# TBA|   TBA]]
|[[# TBA| TBA ]]
|Tran
| hosting faculty
|
|
|-
|-
|March 31
|Dec 7
| '''No Colloquium'''
| Reserved for job talk
|[[# |    ]]
|[[# TBA| TBA  ]]
|
| hosting faculty
|
|-
|April 7
| [http://www.math.uiuc.edu/~schenck/ Hal Schenck]
|[[# |   ]]
|Erman
|
|
|-
|April 14
|  Wilfrid Gangbo
|[[# |    ]]
|Feldman & Tran
|
|-
|April 21
|[[# |    ]]
|
|
|-
|April 28
| [http://users.cms.caltech.edu/~hou/ Thomas Yizhao Hou] 
|[[# TBA|  TBA  ]]
|Li
|}
|}


== Abstracts ==
== Abstracts ==


=== September 30: Akos Magyar (University of Georgia) ===  
=== Sep 12: Gunther Uhlmann (Univ. of Washington) ===
Title: Geometric Ramsey theory
Harry Potter's Cloak via Transformation Optics


Abstract: Initiated by Erdos, Graham, Montgomery and others in the 1970's, geometric Ramsey theory studies geometric configurations, determined up to translations, rotations and possibly dilations, which cannot be destroyed by finite partitions of Euclidean spaces. Later it was shown by ergodic and Fourier analytic methods that such results are also possible in the context of sets of positive upper density in Euclidean spaces or the integer lattice. We present a new approach, motivated by developments in arithmetic combinatorics, which provide new results as well new proofs of some classical results in this area.
Can we make objects invisible? This has been a subject of human
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.
 
=== Sep 14: Gunther Uhlmann (Univ. of Washington) ===
Journey to the Center of the Earth
 
We will consider the inverse problem of determining the sound
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
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
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.
 
=== Sep 21: Andrew Stuart (Caltech) ===
 
The Legacy of Rudolph Kalman
 
In 1960 Rudolph Kalman published what is arguably the first paper to develop a systematic, principled approach to the use of data to improve the predictive capability of mathematical models. As our ability to gather data grows at an enormous rate, the importance of this work continues to grow too. The lecture will describe this paper, and developments that have stemmed from it, revolutionizing fields such space-craft control, weather prediction, oceanography and oil recovery, and with potential for use in new fields such as medical imaging and artificial intelligence. Some mathematical details will be also provided, but limited to simple concepts such as optimization, and iteration; the talk is designed to be broadly accessible to anyone with an interest in quantitative science.
 
=== Sep 28: Gautam Iyer (CMU) ===
 
Stirring and Mixing
 
Mixing is something one encounters often in everyday life (e.g. stirring cream into coffee). I will talk about two mathematical
aspects of mixing that arise in the context of fluid dynamics:
 
1. How efficiently can stirring "mix"?
 
2. What is the interaction between diffusion and mixing.
 
Both these aspects are rich in open problems whose resolution involves tools from various different areas. I present a brief survey of existing
results, and talk about a few open problems.
 
=== Oct 5: Eyal Subag (Penn State)===
 
Symmetries of the hydrogen atom and algebraic families
 
The hydrogen atom system is one of the most thoroughly studied examples of a quantum mechanical system. It can be fully solved, and the main reason why is its (hidden) symmetry.  In this talk I shall explain how the symmetries of the Schrödinger equation for the hydrogen atom, both visible and hidden, give rise to an example in the recently developed theory of algebraic families of Harish-Chandra modules.  I will show how the algebraic structure of these symmetries completely determines the spectrum of the Schrödinger operator and sheds new light on the quantum nature of the system.  No prior knowledge on quantum mechanics or representation theory will be assumed.


== Past Colloquia ==
== Past Colloquia ==
[[Colloquia/Blank|Blank]]
[[Colloquia/Spring2018|Spring 2018]]
[[Colloquia/Fall2017|Fall 2017]]
[[Colloquia/Spring2017|Spring 2017]]
[[Archived Fall 2016 Colloquia|Fall 2016]]


[[Colloquia/Spring2016|Spring 2016]]
[[Colloquia/Spring2016|Spring 2016]]

Revision as of 10:23, 19 September 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 Room 911 Gunther Uhlmann (Univ. of Washington) Distinguished Lecture series Harry Potter's Cloak via Transformation Optics Li
Sep 14 Room 911 Gunther Uhlmann (Univ. of Washington) Distinguished Lecture series Journey to the Center of the Earth Li
Sep 21 Room 911 Andrew Stuart (Caltech) LAA lecture The Legacy of Rudolph Kalman Jin
Sep 28 Gautam Iyer (CMU) Stirring and Mixing Thiffeault
Oct 5 Eyal Subag (Penn State) Symmetries of the hydrogen atom and algebraic families 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

Sep 12: Gunther Uhlmann (Univ. of Washington)

Harry Potter's Cloak via Transformation Optics

Can we make objects invisible? This has been a subject of human 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.

Sep 14: Gunther Uhlmann (Univ. of Washington)

Journey to the Center of the Earth

We will consider the inverse problem of determining the sound 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 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 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.

Sep 21: Andrew Stuart (Caltech)

The Legacy of Rudolph Kalman

In 1960 Rudolph Kalman published what is arguably the first paper to develop a systematic, principled approach to the use of data to improve the predictive capability of mathematical models. As our ability to gather data grows at an enormous rate, the importance of this work continues to grow too. The lecture will describe this paper, and developments that have stemmed from it, revolutionizing fields such space-craft control, weather prediction, oceanography and oil recovery, and with potential for use in new fields such as medical imaging and artificial intelligence. Some mathematical details will be also provided, but limited to simple concepts such as optimization, and iteration; the talk is designed to be broadly accessible to anyone with an interest in quantitative science.

Sep 28: Gautam Iyer (CMU)

Stirring and Mixing

Mixing is something one encounters often in everyday life (e.g. stirring cream into coffee). I will talk about two mathematical aspects of mixing that arise in the context of fluid dynamics:

1. How efficiently can stirring "mix"?

2. What is the interaction between diffusion and mixing.

Both these aspects are rich in open problems whose resolution involves tools from various different areas. I present a brief survey of existing results, and talk about a few open problems.

Oct 5: Eyal Subag (Penn State)

Symmetries of the hydrogen atom and algebraic families

The hydrogen atom system is one of the most thoroughly studied examples of a quantum mechanical system. It can be fully solved, and the main reason why is its (hidden) symmetry. In this talk I shall explain how the symmetries of the Schrödinger equation for the hydrogen atom, both visible and hidden, give rise to an example in the recently developed theory of algebraic families of Harish-Chandra modules. I will show how the algebraic structure of these symmetries completely determines the spectrum of the Schrödinger operator and sheds new light on the quantum nature of the system. No prior knowledge on quantum mechanics or representation theory will be assumed.

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