Past Probability Seminars Spring 2020: Difference between revisions

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Please note the non-standard room.
Please note the non-standard room.


Title: TBA
Title: The distribution of sandpile groups of random graphs
 


Abstract:
Abstract:
The sandpile group is an abelian group associated to a graph, given as
the cokernel of the graph Laplacian.  An Erd˝os–R´enyi random graph
then gives some distribution of random abelian groups.  We will give
an introduction to various models of random finite abelian groups
arising in number theory and the connections to the distribution
conjectured by Payne et. al. for sandpile groups.  We will talk about
the moments of random finite abelian groups, and how in practice these
are often more accessible than the distributions themselves, but
frustratingly are not a priori guaranteed to determine the
distribution.  In this case however, we have found the moments of the
sandpile groups of random graphs, and proved they determine the
measure, and have proven Payne's conjecture.


== Thursday, September 18, [http://www.math.purdue.edu/~peterson/ Jonathon Peterson], [http://www.math.purdue.edu/ Purdue University]  ==
== Thursday, September 18, [http://www.math.purdue.edu/~peterson/ Jonathon Peterson], [http://www.math.purdue.edu/ Purdue University]  ==

Revision as of 18:23, 28 August 2014


Fall 2014

Thursdays in 901 Van Vleck Hall at 2:25 PM, unless otherwise noted.

If you would like to sign up for the email list to receive seminar announcements then please send an email to Probsem.jpg

Thursday, September 11, Van Vleck B105, Melanie Matchett Wood, UW-Madison

Please note the non-standard room.

Title: The distribution of sandpile groups of random graphs


Abstract: The sandpile group is an abelian group associated to a graph, given as the cokernel of the graph Laplacian. An Erd˝os–R´enyi random graph then gives some distribution of random abelian groups. We will give an introduction to various models of random finite abelian groups arising in number theory and the connections to the distribution conjectured by Payne et. al. for sandpile groups. We will talk about the moments of random finite abelian groups, and how in practice these are often more accessible than the distributions themselves, but frustratingly are not a priori guaranteed to determine the distribution. In this case however, we have found the moments of the sandpile groups of random graphs, and proved they determine the measure, and have proven Payne's conjecture.

Thursday, September 18, Jonathon Peterson, Purdue University

Title: TBA

Abstract:

Thursday, September 25, Sean O'Rourke, University of Colorado Boulder

Title: TBA

Abstract:

Thursday, October 2, Jun Yin, UW-Madison

Title: TBA

Abstract:

Thursday, October 9, No seminar due to Midwest Probability Colloquium

No seminar due to Midwest Probability Colloquium.


Thursday, October 16, TBA

Title: TBA

Abstract:


Thursday, November 6, Vadim Gorin, MIT

Title: TBA

Abstract:

Friday, November 7, Tim Chumley, Iowa State University

Title: TBA

Abstract:

Thursday, November 13, TBA

Title: TBA

Abstract:


Past Seminars