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__NOTOC__
= 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 schedule for Spring 2016
The calendar for spring 2019 can be found [[Colloquia/Spring2019|here]].
 
== Fall 2015  ==
 
Go to next semester, [[Colloquia/Spring 2016|Spring 2016]].


==Spring 2019==


{| 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)
|-
|-
| '''September 4'''
|Jan 25
| [http://homepages.math.uic.edu/~isaac/ Isaac Goldbring] (UIC)  
| [http://www.users.miamioh.edu/randrib/ Beata Randrianantoanina] (Miami University Ohio) WIMAW
| <!-- [[Colloquia#September 4:  Isaac Goldbring (UIC) | title]] -->
|[[#Beata Randrianantoanina (Miami University Ohio) | Some nonlinear problems in the geometry of Banach spaces and their applications  ]]
| Andrews/Lempp
| Tullia Dymarz
|
|-
|-
| '''September 11'''  
|Jan 30 '''Wednesday'''
| <!-- [webpage Speaker Name] (University) -->   
| [https://services.math.duke.edu/~pierce/ Lillian Pierce] (Duke University)
| <!-- [[Colloquia#September 11:  Speaker (University) | title]] -->
|[[#Lillian Pierce (Duke University) | Short character sums  ]]
| <!-- host -->
| Boston and Street
|
|-
|-
| '''September 18'''  
|Jan 31 '''Thursday'''
| [https://sites.google.com/site/doronpuder/  Doron Puder] (IAS)
| [http://www.math.tamu.edu/~dbaskin/ Dean Baskin] (Texas A&M)
| <!-- [[Colloquia#September 18:  Doron Puder (IAS) | title]] -->
|[[#Dean Baskin (Texas A&M) | Radiation fields for wave equations  ]]
| Gurevich
| Street
|
|-
|-
| '''September 25'''
|Feb 1
| [https://pantherfile.uwm.edu/ourmazd/www/ Abbas Ourmazd] (UW-Milwaukee)  
| [https://services.math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke University)
| <!-- [[Colloquia#September 25: Abbas Ourmazd (UW-Milwaukee) | TBA]] -->
|[[# TBA| TBA ]]
| Mitchell
| Qin
|
|-
|-
| '''October 2'''  
|Feb 5 '''Tuesday'''
| <!-- [webpage Speaker Name] (University) -->   
| [http://www.math.tamu.edu/~alexei.poltoratski/ Alexei Poltoratski] (Texas A&M University)
| <!-- [[Colloquia#September 11: Speaker (University) | title]] -->
|[[# TBA|  TBA ]]
| <!-- host -->
| Denisov
|
|-
|-
| '''October 9'''
|Feb 8
| <!-- [webpage Speaker Name] (University) -->   
| [https://sites.math.northwestern.edu/~anaber/ Aaron Naber] (Northwestern)
| <!-- [[Colloquia#October 9:  Speaker (University) | title]] -->
|[[#Aaron Naber (Northwestern) |   A structure theory for spaces with lower Ricci curvature bounds  ]]
| <!-- host -->
| Street
|
|-
|-
| '''October 16'''
|Feb 15
| [http://mysite.science.uottawa.ca/hsalmasi/ Hadi Salmasian] (Ottawa) 
|  
| <!-- [[Colloquia#October 23: Speaker (University) | title]] -->
|[[# TBA|  TBA ]]
| Gurevich
|  
|
|-
|-
| '''October 23'''
|Feb 22
| Wisconsin Science Festival. <!-- [webpage Speaker Name] (University) -->   
| [https://people.math.osu.edu/cueto.5/ Angelica Cueto] (Ohio State)
| <!-- [[Colloquia#October16: Speaker (University) | title]] -->
|[[# TBA|  TBA ]]
| <!-- host -->
| Erman and Corey
|
|-
|-
| '''October 30'''
|March 4
|   [http://people.brandeis.edu/~charney/Charney15.html Ruth Charney] (Brandeis)    
| [http://www-users.math.umn.edu/~sverak/ Vladimir Sverak] (Minnesota) Wasow lecture
| <!-- [[Colloquia#October 30:  Ruth Charney (Brandeis) | title]] -->
|[[# TBA| TBA ]]
| Dymarz
| Kim
|
|-
|-
| '''November 6'''
|March 8
| Reserved <!-- Remove if no job talks -->
| [https://orion.math.iastate.edu/jmccullo/index.html Jason McCullough] (Iowa State)
|[[# TBA|  TBA  ]]
| Erman
|
|
|-
|March 15
| Maksym Radziwill (Caltech)
|[[# TBA|  TBA  ]]
| Marshall
|
|
|-
|-
| '''November 13'''
|March 29
| Reserved <!-- Remove if no job talks -->
| Jennifer Park (OSU)
|[[# TBA|  TBA ]]
| Marshall
|
|
|-
|April 5
| Ju-Lee Kim (MIT)
|[[# TBA|  TBA  ]]
| Gurevich
|
|
|-
|-
| '''November 20'''
|April 12
Reserved <!-- Remove if no job talks -->
Evitar Procaccia (TAMU)
|
|[[# TBA|  TBA ]]
| Gurevich
|
|
|-
|-
| '''November 27'''
|April 19
| University Holiday
| [http://www.math.rice.edu/~jkn3/ Jo Nelson] (Rice University)
No Colloquium
|[[# TBATBA  ]]
| Jean-Luc
|
|
|-
|-
| '''December 4'''
|April 26
Reserved <!-- Remove if no job talks -->
| [https://www.brown.edu/academics/applied-mathematics/faculty/kavita-ramanan/home Kavita Ramanan] (Brown University)
|
|[[# TBATBA ]]
| WIMAW
|
|
|-
|-
| '''December 11'''
|May 3
Reserved <!-- Remove if no job talks -->
| Tomasz Przebinda (Oklahoma)
|
|[[# TBATBA ]]
| Gurevich
|
|
|}
|}
Line 96: Line 118:
== Abstracts ==
== Abstracts ==


===September 4: Isaac Goldbring (UIC) ===
===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 ==
== Past Colloquia ==
[[Colloquia/Blank|Blank]]
[[Colloquia/Fall2018|Fall 2018]]
[[Colloquia/Spring2018|Spring 2018]]
[[Colloquia/Fall2017|Fall 2017]]
[[Colloquia/Spring2017|Spring 2017]]
[[Archived Fall 2016 Colloquia|Fall 2016]]
[[Colloquia/Spring2016|Spring 2016]]
[[Colloquia/Fall2015|Fall 2015]]


[[Colloquia/Spring2014|Spring 2015]]
[[Colloquia/Spring2014|Spring 2015]]

Latest revision as of 14:43, 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