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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. | 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. | ||
== 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) | |||
'''Symmetries of surfaces: big and small''' | |||
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, [https://web.math.princeton.edu/~nfm2/ Nicholas Marshall] (Princeton) == | == January 21, 2022, [https://web.math.princeton.edu/~nfm2/ Nicholas Marshall] (Princeton) == | ||
Revision as of 03:44, 7 January 2022
UW Madison mathematics Colloquium is on Fridays at 4:00 pm.
January 10, 2022, Monday at 4pm in B239 + Live stream, Reza Gheissari (UC Berkeley)
(reserved by the hiring committee)
Surface phenomena in the 2D and 3D Ising model
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.
January 17, 2022, Monday at 4pm in B239 + Live stream, Marissa Loving (Georgia Tech)
(reserved by the hiring committee)
Symmetries of surfaces: big and small
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, Nicholas Marshall (Princeton)
(reserved by the hiring committee)
January 24, 2022 , Rachel Skipper (Ohio State)
(reserved by the hiring committee)
February 25, 2022, Rohini Ramadas (Warwick)
(WIMAW)
March 1-4, 2022, Robert Lazarsfeld (Stony Brook)
(Departmental Distinguished Lecture series)
April 8, 2022, Matthew Stover (Temple University)
(hosted by Zimmer)
April 22, 2022, Detlef Müller (Kiel, Germany)
(hosted by Seeger and Stovall)
April 25-26-27 (Monday [VV B239], Tuesday [Chamberlin 2241], Wednesday [VV B239]) 4 pm Larry Guth (MIT)
(Departmental Distinguished Lecture series)