Past Probability Seminars Spring 2020: Difference between revisions
| Line 17: | Line 17: | ||
Please note the non-standard room. | Please note the non-standard room. | ||
Title: | 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 
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: