##### Department of Mathematics,

University of California San Diego

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### Math 269 - Combinatorics Seminar

## Gidon Orelowitz

#### UIUC

## Newell-Littlewood Numbers

##### Abstract:

The Newell-Littlewood numbers are tensor product multiplicities of Weyl modules for the classical groups in the stable range. Littlewood-Richardson coefficients form a special case. A. Klyachko connected eigenvalues of sums of Hermitian matrices to the saturated LR-cone and established defining linear inequalities. We prove analogues for the saturated NL-cone: an eigenvalue interpretation and a previously conjectured description by Extended Horn inequalities. This is joint work with S. Gao, N. Ressayre, and A. Yong.

Host: Brendon Rhoades

### February 8, 2022

### 4:00 PM

Zoom ID: 956 8167 7157

Research Areas

Combinatorics Representation Theory****************************