Difference between revisions of "Probability Seminar"

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= Fall 2018 =
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= Fall 2019 =
  
 
<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted.  
 
<b>Thursdays in 901 Van Vleck Hall at 2:25 PM</b>, unless otherwise noted.  
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[mailto:join-probsem@lists.wisc.edu join-probsem@lists.wisc.edu]
 
[mailto:join-probsem@lists.wisc.edu join-probsem@lists.wisc.edu]
  
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== September 5, 2019, TBA ==
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== September 12, 2019, TBA ==
  
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== September 19, 2019, TBA ==
  
==<span style="color:red"> Friday, August 10, 10am, B239 Van Vleck </span> András Mészáros, Central European University, Budapest ==
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<!-- == September 26, 2019, TBA == -->
 
 
 
 
Title: '''The distribution of sandpile groups of random regular graphs'''
 
  
Abstract:
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== October 3, 2019, TBA ==
We study the distribution of the sandpile group of random <math>d</math>-regular graphs. For the directed model we prove that it follows the Cohen-Lenstra heuristics, that is, the probability that the <math>p</math>-Sylow subgroup of the sandpile group is a given <math>p</math>-group <math>P</math>, is proportional to <math>|\operatorname{Aut}(P)|^{-1}</math>. For finitely many primes, these events get independent in limit. Similar results hold for undirected random regular graphs, there for odd primes the limiting distributions are the ones given by Clancy, Leake and Payne.
 
  
Our results extends a recent theorem of Huang saying that the adjacency matrices of random <math>d</math>-regular directed graphs are invertible with high probability to the undirected case.
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== October 10, 2019, TBA ==
  
<!-- ==September 13, TBA == -->
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== October 17, 2019, TBA ==
  
==September 20, [http://math.columbia.edu/~hshen/ Hao Shen], [https://www.math.wisc.edu/ UW-Madison] ==
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== October 24, 2019, TBA ==
  
Title: '''Stochastic quantization of Yang-Mills'''
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== October 31, 2019, TBA ==
  
Abstract:
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== November 7, 2019, TBA ==
"Stochastic quantization” refers to a formulation of quantum field theory as stochastic PDEs. Interesting progress has been made these years in understanding these SPDEs, examples including Phi4 and sine-Gordon. Yang-Mills is a type of quantum field theory which has gauge symmetry, and its stochastic quantization is a Yang-Mills flow perturbed by white noise.
 
In this talk we start by an Abelian example where we take a symmetry-preserving lattice regularization and study the continuum limit. We will then discuss non-Abelian Yang-Mills theories and introduce a symmetry-breaking smooth regularization and restore the symmetry using a notion of gauge-equivariance. With these results we can construct dynamical Wilson loop and string observables. Based on [S., arXiv:1801.04596] and [Chandra,Hairer,S., work in progress].
 
  
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== November 14, 2019, TBA ==
  
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== November 21, 2019, TBA ==
  
==September 27, [https://www.math.wisc.edu/~seppalai/  Timo Seppäläinen] ==
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== November 28, 2019, Thanksgiving (no seminar) ==
  
Title:'''Random walk in random environment and the Kardar-Parisi-Zhang class'''
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== December 5, 2019, TBA ==
 
Abstract:This talk concerns a relationship between two much-studied classes of models  of motion in a random medium, namely random walk in random environment (RWRE) and the Kardar-Parisi-Zhang (KPZ) universality class. Barraquand and Corwin (Columbia)  discovered that in 1+1 dimensional RWRE in a dynamical beta environment the correction to the quenched large deviation principle obeys KPZ behavior.  In this talk we condition the beta walk to escape at an atypical velocity and show that the resulting Doob-transformed RWRE obeys the KPZ wandering exponent 2/3.  Based on joint work with Márton Balázs (Bristol) and Firas Rassoul-Agha (Utah). 
 
  
==October 4, [https://people.math.osu.edu/paquette.30/  Elliot Paquette], [https://math.osu.edu/ OSU] ==
 
  
==October 11, [https://www.math.utah.edu/~janjigia/ Chris Janjigian], [https://www.math.utah.edu/ University of Utah] ==
 
  
==October 18-20, [http://sites.math.northwestern.edu/mwp/ Midwest Probability Colloquium], No Seminar ==
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==October 25, [http://stat.columbia.edu/department-directory/name/promit-ghosal/ Promit Ghosal], Columbia ==
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== <span style="color:red"> Wednesday, February 6 at 4:00pm in Van Vleck 911</span> , [https://lc-tsai.github.io/ Li-Cheng Tsai], [https://www.columbia.edu/ Columbia University] ==
  
==November 1, TBA ==
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Title: '''When particle systems meet PDEs'''
  
==November 8, [https://cims.nyu.edu/~thomasl/ Thomas Leblé], NYU ==
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Abstract: Interacting particle systems are models that involve many randomly evolving agents (i.e., particles). These systems are widely used in describing real-world phenomena. In this talk we will walk through three facets of interacting particle systems, namely the law of large numbers, random fluctuations, and large deviations. Within each facet, I will explain how Partial Differential Equations (PDEs) play a role in understanding the systems..
  
==November 15, TBA ==
 
  
==November 22, [https://en.wikipedia.org/wiki/Thanksgiving Thanksgiving] Break, No Seminar ==
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== <span style="color:red">'''Tuesday''' </span>, May 7,  Van Vleck 901, 2:25pm, Duncan Dauvergne (Toronto) ==
  
==November 29, TBA ==
 
  
==December 6, TBA ==
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<b><span style="color:red">&emsp; Please note the unusual day.
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&emsp; </span></b>
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Title: '''The directed landscape'''
  
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Abstract: I will describe the construction of the full scaling limit of (Brownian) last passage percolation: the directed landscape. The directed landscape can be thought of as a random scale-invariant `directed' metric on the plane, and last passage paths converge to directed geodesics in this metric. The directed landscape is expected to be a universal scaling limit for general last passage and random growth models (i.e. TASEP, the KPZ equation, the longest increasing subsequence in a random permutation). Joint work with Janosch Ormann and Balint Virag.
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[[Past Seminars]]
 
[[Past Seminars]]

Latest revision as of 09:16, 23 May 2019


Fall 2019

Thursdays in 901 Van Vleck Hall at 2:25 PM, unless otherwise noted. We usually end for questions at 3:15 PM.

If you would like to sign up for the email list to receive seminar announcements then please send an email to join-probsem@lists.wisc.edu


September 5, 2019, TBA

September 12, 2019, TBA

September 19, 2019, TBA

October 3, 2019, TBA

October 10, 2019, TBA

October 17, 2019, TBA

October 24, 2019, TBA

October 31, 2019, TBA

November 7, 2019, TBA

November 14, 2019, TBA

November 21, 2019, TBA

November 28, 2019, Thanksgiving (no seminar)

December 5, 2019, TBA

Past Seminars