# Duke Probability Seminar

### A seminar for the probability community at Duke, both in and outside of the Mathematics Department.

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**Upcoming Seminars:**
- Thursday, October 10, 2024, 3:15pm, Physics 119, Probability Seminar

*Optimal rigidity and maximum of the characteristic polynomial of Wigner matrices*

Patrick Lopatto (UNC Chapel Hill)
- We consider two related questions about the extremal statistics of Wigner matrices (random symmetric matrices with independent entries). First, how much can their eigenvalues fluctuate? It is known that the eigenvalues of such matrices display repulsive interactions, which confine them near deterministic locations. We provide optimal estimates for this “rigidity” phenomenon. Second, what is the behavior of the maximum of the characteristic polynomial? This question is motivated by a conjecture of Fyodorov–Hiary–Keating on the maxima of logarithmically correlated fields, and we will present the first results for Wigner matrices. This talk is based on joint work with Paul Bourgade and Ofer Zeitouni.

- Thursday, October 24, 2024, 3:15pm, Physics 119, Probability Seminar

*TBA*

Vadim Gorin (UC Berkeley)
- Thursday, October 31, 2024, 3:15pm, Physics 119, Probability Seminar

*TBA*

Galen Reeves (Duke, Stats and ECE)
- Thursday, November 7, 2024, 3:15pm, Physics 119, Probability Seminar

*TBA*

Benjamin McKenna (GA Tech)
- TBA

- Thursday, November 14, 2024, 3:15pm, Physics 119, Probability Seminar

*TBA*

Giorgio Cipolloni (University of Arizona)
- TBA

- Thursday, November 21, 2024, 3:30pm, UNC Stats & OR, Probability Seminar (UNC IDEAS)

*TBA*

David Sivakoff (Ohio State University)
- Thursday, December 5, 2024, 3:15pm, Physics 119, Probability Seminar

*TBA*

Ahmed Bou-Rabee (Courant Institute, NYU, Mathematics)
- Thursday, February 20, 2025, 3:15pm, Physics 119, Probability Seminar

*TBA*

Yu-Ting Chen (University of Victoria, Mathematics and Statistics)

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