Difference between revisions of "Colloquia"

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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]].
 
  
==Spring 2019==
 
  
 +
==Fall 2019==
 
{| cellpadding="8"
 
{| cellpadding="8"
 
!align="left" | date   
 
!align="left" | date   
Line 13: Line 12:
 
!align="left" | host(s)
 
!align="left" | host(s)
 
|-
 
|-
|Jan 25
+
|Sept 6
| [http://www.users.miamioh.edu/randrib/ Beata Randrianantoanina] (Miami University Ohio) WIMAW
+
| Will Sawin (Columbia)
|[[#Beata Randrianantoanina (Miami University Ohio) |  Some nonlinear problems in the geometry of Banach spaces and their applications ]]
+
| [[#Will Sawin (Columbia) | On Chowla's Conjecture over F_q[T] ]]
| Tullia Dymarz
+
| Marshall
 +
|-
 +
|Sept 13
 +
| [https://www.math.ksu.edu/~soibel/ Yan Soibelman] (Kansas State)
 +
|[[#Yan Soibelman (Kansas State)|  Riemann-Hilbert correspondence and Fukaya categories ]]
 +
| Caldararu
 +
|
 +
|-
 +
|Sept 16 '''Monday Room 911'''
 +
| Alicia Dickenstein (Buenos Aires)
 +
|[[# TBA|  TBA ]]
 +
| Craciun
 +
|
 +
|-
 +
|Sept 20
 +
| Jianfeng Lu (Duke)
 +
|[[#TBA | TBA]]
 +
| Qin
 +
|
 +
|-
 +
|Sept 27
 +
|
 +
|
 +
|-
 +
|Oct 4
 +
|
 +
|
 +
|-
 +
|Oct 11
 +
|
 +
|-
 +
|Oct 18
 +
| Thomas Strohmer (UC Davis)
 +
|
 +
|Gurevich
 +
|-
 +
|Oct 25
 +
|
 +
|-
 +
|Nov 1
 +
|Elchanan Mossel (MIT)
 +
|Distinguished Lecture
 +
|Roch
 +
|-
 +
|Nov 8
 +
|Reserved for job talk
 +
|
 +
|-
 +
|Nov 15
 +
|Reserved for job talk
 +
|
 +
|-
 +
|Nov 22
 +
|Reserved for job talk
 +
|
 +
|-
 +
|Nov 29
 +
|Thanksgiving
 +
|
 +
|-
 +
|Dec 6
 +
|Reserved for job talk
 
|
 
|
 
|-
 
|-
|Jan 30 '''Wednesday'''
+
|Dec 11 '''Wednesday'''
| [https://services.math.duke.edu/~pierce/ Lillian Pierce] (Duke University)
+
|Nick Higham (Manchester)
|[[#Lillian Pierce (Duke University) |  Short character sums  ]]
+
|LAA lecture
| Boston and Street
+
|Brualdi
 
|
 
|
 
|-
 
|-
|Jan 31 '''Thursday'''
+
|Dec 13
| [http://www.math.tamu.edu/~dbaskin/ Dean Baskin] (Texas A&M)
+
|Reserved for job talk
|[[#Dean Baskin (Texas A&M) | Radiation fields for wave equations  ]]
+
|
| Street
+
|}
 +
 
 +
==Spring 2020==
 +
 
 +
{| cellpadding="8"
 +
!align="left" | date 
 +
!align="left" | speaker
 +
!align="left" | title
 +
!align="left" | host(s)
 
|
 
|
 
|-
 
|-
|Feb 1
+
|Jan 24
| [https://services.math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke University)
+
|Reserved for job talk
|[[# TBA|  TBA  ]]
 
| Qin
 
 
|
 
|
 
|-
 
|-
|Feb 5 '''Tuesday'''
+
|Jan 31
| [http://www.math.tamu.edu/~alexei.poltoratski/ Alexei Poltoratski] (Texas A&M University)
+
|Reserved for job talk
|[[# TBA|  TBA  ]]
 
| Denisov
 
 
|
 
|
 
|-
 
|-
|Feb 8
+
|Feb 7
| [https://sites.math.northwestern.edu/~anaber/ Aaron Naber] (Northwestern)
+
|Reserved for job talk
|[[#Aaron Naber (Northwestern) |  A structure theory for spaces with lower Ricci curvature bounds  ]]
 
| Street
 
 
|
 
|
 
|-
 
|-
|Feb 15
+
|Feb 14
|
+
|Reserved for job talk
|[[# TBA|  TBA  ]]
 
|  
 
 
|
 
|
 
|-
 
|-
|Feb 22
+
|Feb 21
| [https://people.math.osu.edu/cueto.5/ Angelica Cueto] (Ohio State)
 
|[[# TBA|  TBA  ]]
 
| Erman and Corey
 
 
|
 
|
 
|-
 
|-
|March 4
+
|Feb 28
| [http://www-users.math.umn.edu/~sverak/ Vladimir Sverak] (Minnesota) Wasow lecture
+
|Brett Wick (Washington University, St. Louis)
|[[# TBA| TBA ]]
 
| Kim
 
 
|
 
|
 +
|Seeger
 
|-
 
|-
|March 8
+
|March 6
| [https://orion.math.iastate.edu/jmccullo/index.html Jason McCullough] (Iowa State)
 
|[[# TBA|  TBA  ]]
 
| Erman
 
 
|
 
|
 
|-
 
|-
|March 15
+
|March 13
| Maksym Radziwill (Caltech)
 
|[[# TBA|  TBA  ]]
 
| Marshall
 
 
|
 
|
 
|-
 
|-
|March 29
+
|March 20
| Jennifer Park (OSU)
+
|Spring break
|[[# TBA|  TBA  ]]
 
| Marshall
 
 
|
 
|
 
|-
 
|-
|April 5
+
|March 27
| Ju-Lee Kim (MIT)
+
|(Moduli Spaces Conference)
|[[# TBA|  TBA  ]]
 
| Gurevich
 
 
|
 
|
 +
|Boggess, Sankar
 
|-
 
|-
|April 12
+
|April 3
| Evitar Procaccia (TAMU)
+
|Caroline Turnage-Butterbaugh (Carleton College)
|[[# TBA|  TBA  ]]
 
| Gurevich
 
 
|
 
|
 +
|Marshall
 
|-
 
|-
|April 19
+
|April 10
| [http://www.math.rice.edu/~jkn3/ Jo Nelson] (Rice University)
+
| Sarah Koch (Michigan)
|[[# TBA|  TBA  ]]
 
| Jean-Luc
 
 
|
 
|
 +
| Bruce (WIMAW)
 
|-
 
|-
|April 26
+
|April 17
| [https://www.brown.edu/academics/applied-mathematics/faculty/kavita-ramanan/home Kavita Ramanan] (Brown University)
+
|
|[[# TBA|  TBA  ]]
+
|
| WIMAW
 
 
|
 
|
 
|-
 
|-
|May 3
+
|April 24
| Tomasz Przebinda (Oklahoma)
 
|[[# TBA|  TBA  ]]
 
| Gurevich
 
 
|
 
|
 +
|-
 +
|May 1
 +
|Robert Lazarsfeld (Stony Brook)
 +
|Distinguished lecture
 +
|Erman
 
|}
 
|}
  
 
== Abstracts ==
 
== 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)===
+
===Will Sawin (Columbia)===
  
Title: Radiation fields for wave equations
+
Title: On Chowla's Conjecture over F_q[T]
  
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.
+
Abstract: The Mobius function in number theory is a sequences of 1s,
 +
-1s, and 0s, which is simple to define and closely related to the
 +
prime numbers. Its behavior seems highly random. Chowla's conjecture
 +
is one precise formalization of this randomness, and has seen recent
 +
work by Matomaki, Radziwill, Tao, and Teravainen making progress on
 +
it. In joint work with Mark Shusterman, we modify this conjecture by
 +
replacing the natural numbers parameterizing this sequence with  
 +
polynomials over a finite field. Under mild conditions on the finite
 +
field, we are able to prove a strong form of this conjecture. The  
 +
proof is based on taking a geometric perspective on the problem, and
 +
succeeds because we are able to simplify the geometry using a trick
 +
based on the strange properties of polynomial derivatives over finite
 +
fields.
  
===Aaron Naber (Northwestern)===
 
  
Title:  A structure theory for spaces with lower Ricci curvature bounds.
+
===Yan Soibelman (Kansas State)===
  
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.
+
Title: Riemann-Hilbert correspondence and Fukaya categories
  
 +
Abstract: In this talk I am going to discuss the role of Fukaya categories in the Riemann-Hilbert correspondence
 +
for differential, q-difference and elliptic difference equations in dimension one.
 +
This approach not only gives a unified answer for several versions of the Riemann-Hilbert correspondence but also leads to a natural formulation
 +
of the non-abelian Hodge theory in dimension one. It also explains why periodic monopoles
 +
should appear as harmonic objects in this generalized non-abelian Hodge theory.
 +
All that is a part of the bigger project ``Holomorphic Floer theory",
 +
joint with Maxim Kontsevich.
  
 
== Past Colloquia ==
 
== Past Colloquia ==
  
 
[[Colloquia/Blank|Blank]]
 
[[Colloquia/Blank|Blank]]
 +
 +
[[Colloquia/Spring2019|Spring 2019]]
  
 
[[Colloquia/Fall2018|Fall 2018]]
 
[[Colloquia/Fall2018|Fall 2018]]

Latest revision as of 16:23, 19 August 2019

Mathematics Colloquium

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


Fall 2019

date speaker title host(s)
Sept 6 Will Sawin (Columbia) On Chowla's Conjecture over F_q[T] Marshall
Sept 13 Yan Soibelman (Kansas State) Riemann-Hilbert correspondence and Fukaya categories Caldararu
Sept 16 Monday Room 911 Alicia Dickenstein (Buenos Aires) TBA Craciun
Sept 20 Jianfeng Lu (Duke) TBA Qin
Sept 27
Oct 4
Oct 11
Oct 18 Thomas Strohmer (UC Davis) Gurevich
Oct 25
Nov 1 Elchanan Mossel (MIT) Distinguished Lecture Roch
Nov 8 Reserved for job talk
Nov 15 Reserved for job talk
Nov 22 Reserved for job talk
Nov 29 Thanksgiving
Dec 6 Reserved for job talk
Dec 11 Wednesday Nick Higham (Manchester) LAA lecture Brualdi
Dec 13 Reserved for job talk

Spring 2020

date speaker title host(s)
Jan 24 Reserved for job talk
Jan 31 Reserved for job talk
Feb 7 Reserved for job talk
Feb 14 Reserved for job talk
Feb 21
Feb 28 Brett Wick (Washington University, St. Louis) Seeger
March 6
March 13
March 20 Spring break
March 27 (Moduli Spaces Conference) Boggess, Sankar
April 3 Caroline Turnage-Butterbaugh (Carleton College) Marshall
April 10 Sarah Koch (Michigan) Bruce (WIMAW)
April 17
April 24
May 1 Robert Lazarsfeld (Stony Brook) Distinguished lecture Erman

Abstracts

Will Sawin (Columbia)

Title: On Chowla's Conjecture over F_q[T]

Abstract: The Mobius function in number theory is a sequences of 1s, -1s, and 0s, which is simple to define and closely related to the prime numbers. Its behavior seems highly random. Chowla's conjecture is one precise formalization of this randomness, and has seen recent work by Matomaki, Radziwill, Tao, and Teravainen making progress on it. In joint work with Mark Shusterman, we modify this conjecture by replacing the natural numbers parameterizing this sequence with polynomials over a finite field. Under mild conditions on the finite field, we are able to prove a strong form of this conjecture. The proof is based on taking a geometric perspective on the problem, and succeeds because we are able to simplify the geometry using a trick based on the strange properties of polynomial derivatives over finite fields.


Yan Soibelman (Kansas State)

Title: Riemann-Hilbert correspondence and Fukaya categories

Abstract: In this talk I am going to discuss the role of Fukaya categories in the Riemann-Hilbert correspondence for differential, q-difference and elliptic difference equations in dimension one. This approach not only gives a unified answer for several versions of the Riemann-Hilbert correspondence but also leads to a natural formulation of the non-abelian Hodge theory in dimension one. It also explains why periodic monopoles should appear as harmonic objects in this generalized non-abelian Hodge theory. All that is a part of the bigger project ``Holomorphic Floer theory", joint with Maxim Kontsevich.

Past Colloquia

Blank

Spring 2019

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