Probability Seminar

Date: February 26, 2018

Time: 2:00PM - 3:00PM

Location: BLOC 220

Speaker: Erik Lundberg, Florida Atlantic University

Title: Random matrices arising in the study of random fields

Abstract: Certain problems in random fields, such as studying the solutions to a random system of equations (e.g., the critical points of a random potential energy landscape) have made important use of random matrix theory. After surveying some applications related to classical random matrix ensembles, we present a new direction in random fields concerning the solutions to problems in enumerative geometry (e.g., the number of lines on a random cubic surface). The resulting random matrices are of a special structured type. We conclude with some open problems that are simple to state. This is joint work with Saugata Basu, Antonio Lerario, and Chris Peterson.