The Student Probability Seminar is a forum for graduate students to present and discuss topics across probability theory and related areas. Talks may cover random matrices, interacting particle systems, stochastic processes, random graphs, statistical mechanics, integrable probability, and connections between probability and other areas of mathematics.
When
Thursdays, 4:15–5:15 PM
Location
Mathematics 528
Semester
Fall 2026
Organizers
Schedule of Talks
| Date | Speaker | Title and Abstract |
|---|---|---|
| September 10, 2026 | Jiahe Shen |
Practice talk
p-adic Eigenvalue Statistics and Universality
Random matrix models play a central role in arithmetic statistics, from the
Katz-Sarnak philosophy for zeros of L-functions to the Cohen-Lenstra heuristics
for class groups. I will discuss an analogous non-archimedean picture involving
random matrices over the p-adic integers. The main questions concern local
eigenvalue statistics, including correlation functions for eigenvalues in
finite extensions of Qp, and the extent to which these statistics are
universal beyond the Haar model. I will also explain how resultant distributions
and random cokernels provide a route to proving universality, and how these
results connect to predictions for zeros of p-adic L-functions.
|
| TBA | TBA | TBA |
| TBA | TBA | TBA |
| TBA | TBA | TBA |
The schedule will be updated as speakers and topics are confirmed.