Colloquia: Difference between revisions

Latest revision as of 08:42, 27 September 2023

UW Madison mathematics Colloquium is on Fridays at 4:00 pm in Van Vleck B239 unless otherwise noted.

Fall 2023

date	speaker	title	host(s)
Sept 8	Tushar Das (University of Wisconsin-La Crosse)	Playing games on fractals: Dynamical & Diophantine	Stovall
Sept 15	John Schotland (Yale)	Nonlocal PDEs and Quantum Optics	Li
Sept 22	David Dumas(University of Illinois Chicago)	Geometry of surface group homomorphisms	Zimmer
Sept 29	no colloquium (see Monday)
Monday Oct 2 at 4 pm	Edriss Titi (Texas A&M University)	Distinguished lectures: On the Solvability of the Navier-Stokes and Euler Equations, where do we stand?	Smith, Stechmann
Oct 13	Autumn Kent	The 0π Theorem
Oct 20	Sara Maloni (UVA)	TBA	Dymarz, Uyanik, GmMaW
Wednesday Oct 25 at 4 pm	Gigliola Staffilani (MIT)	The Schrödinger equations as inspiration of beautiful mathematics	Ifrim, Smith
Oct 27	Rodrigo Bañuelos (Purdue)	TBA	Stovall
Tuesday Oct 31 at 4 pm	Irit Dinur (The Weizmann Institute of Science)	Distinguished lectures	Gurevich
Wednesday Nov 1 at 4 pm	Irit Dinur (The Weizmann Institute of Science)	Distinguished lectures	Gurevich

Abstracts

Friday, September 8. Tushar Das

Playing games on fractals: Dynamical & Diophantine We will present sketches of a program, developed in collaboration with Lior Fishman, David Simmons, and Mariusz Urbanski, which extends the parametric geometry of numbers (initiated by Wolfgang Schmidt and Leonhard Summerer) to Diophantine approximation for systems of m linear forms in n variables. Our variational principle (arXiv:1901.06602) provides a unified framework to compute Hausdorff and packing dimensions of a variety of sets of number-theoretic interest, as well as their dynamical counterparts via the Dani correspondence. Highlights include the introduction of certain combinatorial objects that we call templates, which arise from a dynamical study of Minkowski’s successive minima in the geometry of numbers; as well as a new variant of Schmidt’s game designed to compute the Hausdorff and packing dimensions of any set in a doubling metric space. The talk will be accessible to students and faculty whose interests contain a convex combination of homogeneous dynamics, Diophantine approximation and fractal geometry.

Friday, September 15. John Schotland

Nonlocal PDEs and Quantum Optics Quantum optics is the quantum theory of the interaction of light and matter. In this talk, I will describe a real-space formulation of quantum electrodynamics with applications to many body problems. The goal is to understand the transport of nonclassical states of light in random media. In this setting, there is a close relation to kinetic equations for nonlocal PDEs with random coefficients.

Friday, September 22. David Dumas

The space of homomorphisms from the fundamental group of a compact surface to a Lie group is a remarkably rich and versatile object, playing a key role in mathematical developments spanning disciplines of algebra, analysis, geometry, and mathematical physics. In this talk I will discuss and weave together two threads of research within this larger story: 1) the study of manifolds that are obtained by taking quotients of symmetric spaces (the "inside view") and 2) those obtained as quotients of domains in flag varieties (the "boundary view"). This discussion will start with classical objects--hyperbolic structures on surfaces---and continue into topics of ongoing research.

Friday, October 13. Autumn Kent

A celebrated theorem of Thurston tells us that among the many ways of filling in cusps of hyperbolic $3$--manfiolds, all but finitely many of them produce hyperbolic manifolds once again. This finiteness may be refined in a number of ways depending on the ``shape’’ of the cusp, and I’ll give a light and breezy discussion of joint work with K. Bromberg and Y. Minsky that allows shapes not covered by any of the previous theorems. This has applications such as answering questions asked in my 2010 job talk here at UW.

Future Colloquia

Spring 2024

Past Colloquia

@@ Line 2: / Line 2: @@
-<b>UW Madison mathematics Colloquium is on Fridays at 4:00 pm. </b>
+<b>UW Madison mathematics Colloquium is on Fridays at 4:00 pm in Van Vleck B239 unless otherwise noted.</b>
+==Fall 2023==
-<!--- in Van Vleck B239, '''unless otherwise indicated'''. --->
+{| cellpadding="8"
+!align="left" | date
+!align="left" | speaker
+!align="left" | title
+!align="left" | host(s)
+|
+|-
+|Sept 8
+|[https://www.uwlax.edu/profile/tdas/ Tushar Das] (University of Wisconsin-La Crosse)
+|Playing games on fractals: Dynamical & Diophantine |  Playing games on fractals: Dynamical & Diophantine
+|Stovall
+|-
+|Sept 15
+|[https://math.yale.edu/people/john-schotland John Schotland] (Yale)
+|Nonlocal PDEs and Quantum Optics
+|Li
+|-
+|Sept 22
+|[https://www.dumas.io/ David Dumas](University of Illinois Chicago)
+|Geometry of surface group homomorphisms
+|Zimmer
+|-
+|Sept 29
+|''no colloquium (see Monday)''
+|
+|
+|-
+|<b>Monday Oct 2 at 4 pm</b>
+|[https://www.math.tamu.edu/~titi/ Edriss Titi]  (Texas A&M University)
+|Distinguished lectures: On the Solvability of the Navier-Stokes and Euler Equations, where do we stand?
+|Smith, Stechmann
+|-
+|Oct 13
+|Autumn Kent
+|The 0π Theorem
+|
+|-
+|Oct 20
+|Sara Maloni (UVA)
+|''TBA''
+|Dymarz, Uyanik, GmMaW
+|-
+|<b>Wednesday Oct 25 at 4 pm</b>
+|[https://math.mit.edu/~gigliola/ Gigliola Staffilani] (MIT)
+|The  Schrödinger equations as inspiration of beautiful mathematics
+|Ifrim, Smith
+|-
+|Oct 27
+|[https://www.math.purdue.edu/people/bio/banuelos/home Rodrigo Bañuelos] (Purdue)
+|''TBA''
+|Stovall
+|-
+|<b>Tuesday Oct 31 at 4 pm</b>
+|[https://www.wisdom.weizmann.ac.il/~dinuri/ Irit Dinur] (The Weizmann Institute of Science)
+|Distinguished lectures
+|Gurevich
+|-
+|<b>Wednesday Nov 1 at 4 pm</b>
+|[https://www.wisdom.weizmann.ac.il/~dinuri/ Irit Dinur] (The Weizmann Institute of Science)
+|Distinguished lectures
+|Gurevich
+|}
+==Abstracts==
-== January 10, 2022, Monday at 4pm in B239 + [http://go.wisc.edu/wuas48 Live stream], [https://www.stat.berkeley.edu/~gheissari/ Reza Gheissari] (UC Berkeley) ==
-(reserved by the hiring committee)
-'''Surface phenomena in the 2D and 3D Ising model'''
+'''Friday, September 8.  Tushar Das'''
-Since its introduction in 1920, the Ising model has been one of the most studied models of phase transitions in statistical physics. In its low-temperature regime, the model has two thermodynamically stable phases, which, when in contact with each other, form an interface: a random curve in 2D and a random surface in 3D. In this talk, I will survey the rich phenomenology of this interface in 2D and 3D, and describe recent progress in understanding its geometry in various parameter regimes where different surface phenomena and universality classes emerge.
+Playing games on fractals: Dynamical & Diophantine
+We will present sketches of a program, developed in collaboration with Lior Fishman, David Simmons, and Mariusz Urbanski, which extends the parametric geometry of numbers (initiated by Wolfgang Schmidt and Leonhard Summerer) to Diophantine approximation for systems of m linear forms in n variables. Our variational principle (arXiv:1901.06602) provides a unified framework to compute Hausdorff and packing dimensions of a variety of sets of number-theoretic interest,  as well as their dynamical counterparts via the Dani correspondence. Highlights include the introduction of certain combinatorial objects that we call templates, which arise from a dynamical study of Minkowski’s successive minima in the geometry of numbers; as well as a new variant of Schmidt’s game designed to compute the Hausdorff and packing dimensions of any set in a doubling metric space. The talk will be accessible to students and faculty whose interests contain a convex combination of homogeneous dynamics, Diophantine approximation and fractal geometry.
-== January 17, 2022, Monday at 4pm in B239 + [http://go.wisc.edu/wuas48 Live stream], [https://sites.google.com/view/lovingmath/home Marissa Loving] (Georgia Tech) ==
-(reserved by the hiring committee)
+'''Friday, September 15. John Schotland'''
-'''Symmetries of surfaces: big and small'''
+Nonlocal PDEs and Quantum Optics
+Quantum optics is the quantum theory of the interaction of light and matter. In this talk, I will describe a real-space formulation of quantum electrodynamics with applications to many body problems. The goal is to understand the transport of nonclassical states of light in random media. In this setting, there is a close relation to kinetic equations for nonlocal PDEs with random coefficients.
-We will introduce both finite and infinite-type surfaces and study their collections of symmetries, known as mapping class groups. The study of the mapping class group of finite-type surfaces has played a central role in low-dimensional topology stretching back a hundred years to work of Max Dehn and Jakob Nielsen, and gaining momentum and significance through the celebrated work of Bill Thurston on the geometry of 3-manifolds. In comparison, the study of the mapping class group of infinite-type surfaces has exploded only within the past few years. Nevertheless, infinite-type surfaces appear quite regularly in the wilds of mathematics with connections to dynamics, the topology of 3-manifolds, and even descriptive set theory -- there is a great deal of rich mathematics to be gained in their study! In this talk, we will discuss the way that the study of surfaces intersects and interacts with geometry, algebra, and number theory, as well as some of my own contributions to this vibrant area of study.
-== January 21, 2022, Friday at 4pm in B239 + [http://go.wisc.edu/wuas48 Live stream] [https://web.math.princeton.edu/~nfm2/ Nicholas Marshall]  (Princeton) ==
+'''Friday, September 22. David Dumas'''
-(reserved by the hiring committee)
+The space of homomorphisms from the fundamental group of a compact surface to a Lie group is a remarkably rich and versatile object, playing a key role in mathematical developments spanning disciplines of algebra, analysis, geometry, and mathematical physics.  In this talk I will discuss and weave together two threads of research within this larger story:  1) the study of manifolds that are obtained by taking quotients of symmetric spaces (the "inside view") and 2) those obtained as quotients of domains in flag varieties (the "boundary view").  This discussion will start with classical objects--hyperbolic structures on surfaces---and continue into topics of ongoing research.
-'''Laplacian quadratic forms, function regularity, graphs, and optimal transport'''
-In this talk, I will discuss two different applications of harmonic analysis to
+'''Friday, October 13. Autumn Kent'''
-problems motivated by data science. Both problems involve using Laplacian
-quadratic forms to measure the regularity of functions. In both cases the key
-idea is to understand how to modify these quadratic forms to achieve a specific
-goal. First, in the graph setting, we suppose that a collection of m graphs
-G_1 = (V,E_1),...,G_m=(V,E_m) on a common set of vertices V is given,
-and consider the problem of finding the 'smoothest' function f : V -> R with
-respect to all graphs simultaneously, where the notion of smoothness is defined
-using graph Laplacian quadratic forms. Second, on the unit square [0,1]^2, we
-consider the problem of efficiently computing linearizations of 2-Wasserstein
-distance; here, the solution involves quadratic forms of a Witten Laplacian.
-== January 24, 2022, Monday at 4pm in B239 + [http://go.wisc.edu/wuas48 Live stream], [https://sites.google.com/view/skippermath Rachel Skipper] (Ohio State) ==
+A celebrated theorem of Thurston tells us that among the many ways of filling in cusps of hyperbolic $3$--manfiolds, all but finitely many of them produce hyperbolic manifolds once again. This finiteness may be refined in a number of ways depending on the ``shape’’ of the cusp, and I’ll give a light and breezy discussion of joint work with K. Bromberg and Y. Minsky that allows shapes not covered by any of the previous theorems. This has applications such as answering questions asked in my 2010 job talk here at UW.
-(reserved by the hiring committee)
+==Future Colloquia==
-'''From simple groups to symmetries of surfaces'''
+[[Colloquia/Spring2024|Spring 2024]]
-We will take a tour through some families of groups of historic importance in geometric group theory, including self-similar groups and Thompson’s groups. We will discuss the rich, continually developing theory of these groups which act as symmetries of the Cantor space, and how they can be used to understand the variety of infinite simple groups. Finally, we will discuss how these groups are serving an important role in the newly developing field of big mapping class groups which are used to describe symmetries of surfaces.
+== Past Colloquia ==
-== February 25, 2022, [https://sites.google.com/view/rohini-ramadas/home Rohini Ramadas] (Warwick) ==
-(WIMAW)
-== March 2 and 4, 2022 (Wednesday and Friday),  [http://www.math.stonybrook.edu/~roblaz/ Robert Lazarsfeld] (Stony Brook) ==
-('''Departmental Distinguished Lecture series''')
-== March 25, 2022, [http://www.math.lsa.umich.edu/~canary/ Richard Canary] (Michigan) ==
-(hosted by Zimmer)
-== April 1, 2022, reserved TBA ==
-(WIMAW)
+[[Colloquia/Spring2023|Spring 2023]]
+[[Colloquia/Fall2022|Fall 2022]]
-== April 8, 2022, [https://math.temple.edu/~tuf27009/index.html Matthew Stover] (Temple University) ==
+[[Spring 2022 Colloquiums|Spring 2022]]
-(hosted by Zimmer)
-== April 15, 2022, RESERVED, (TBA) ==
-(hosted by Gong)
-== April 22, 2022, [https://www.math.uni-kiel.de/analysis/de/mueller Detlef Müller] (Kiel, Germany) ==
-(hosted by Seeger and Stovall)
-== April 25-26-27 (Monday [VV B239], Tuesday [Chamberlin 2241], Wednesday [VV B239]) 4 pm   [https://math.mit.edu/directory/profile.php?pid=1461 Larry Guth] (MIT) ==
-('''Departmental Distinguished Lecture series''')
-== Past Colloquia ==
 [[Colloquia/Fall2021|Fall 2021]]