##### Department of Mathematics,

University of California San Diego

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### Math 288 - Probability & Statistics

## Benjamin Landon

#### Massachusetts Institute of Technology

## Fluctuations of the 2-spin spherical Sherrington Kirkpatrick model

##### Abstract:

The 2-spin spherical Sherrington Kirkpatrick (SSK) model was introduced by Kosterlitz, Thouless and Jones as a simplification of the usual Sherrington-Kirkpatrick model with Ising spins. The SSK model admits tractable formulas for many of its observables, allowing for a detailed analysis of its fluctuations using techniques from random matrix theory. We discuss recent results on the fluctuations of the SSK model with a magnetic field as well as at critical temperature. Based on joint work with P. Sosoe.

Host: Benson Au

### November 19, 2020

### 10:00 AM

### For zoom ID and password email: bau@ucsd.edu

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