# Difference between revisions of "Probability Seminar"

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Abstract:<br> | Abstract:<br> | ||

The sandpile group is an abelian group associated to a graph, given as | The sandpile group is an abelian group associated to a graph, given as | ||

− | the cokernel of the graph Laplacian. An | + | the cokernel of the graph Laplacian. An Erdős–Rényi random graph |

then gives some distribution of random abelian groups. We will give | then gives some distribution of random abelian groups. We will give | ||

an introduction to various models of random finite abelian groups | an introduction to various models of random finite abelian groups |

## Revision as of 18:05, 1 September 2014

# Fall 2014

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

**
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**

## 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 Erdős–Rényi 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: