Event Type:

Number Theory Seminar

Date/Time:

Tuesday, April 2, 2019 - 16:00 to 16:45

Location:

Weniger 201

Guest Speaker:

Institution:

University of Oregon

Abstract:

Random matrix theorists of the mid-20th century noticed that the eigenvalues of certain Gaussian matrix ensembles act like a 'one-dimensional log-Coulomb gas'. This physical model has since become well-understood in the language of Boltzmann statistical mechanics. In this talk we introduce a nonarchimedean analogue, use a combinatorial method to establish basic results, and briefly discuss their physical interpretation. Time permitting, we'll also discuss how these results simplify in the special case that the gas particles are identical.

Host: