# MS-14 Numerical Ranges

### Organizers: Patrick X. Rault (University of Arizona South) and Ilya Spitkovsky (NYU Abu Dhabi)

In this mini-symposium we will bring together many of the world's leading researchers on the numerical range of a matrix, also known as the field of values of a matrix. Topics will include the recently introduced Gau-Wu invariant, the Crouzeix Conjecture, and an analogue of numerical ranges over finite fields.

### Speakers

**Farshid Abdollahi**, *Some results on the numerical range of a class of composition operators*

**GĂ¶ran Bergqvist**, *Curves and envelopes that bound the spectrum of a matrix*

**Kristin Camenga**, *The Gau-Wu number for 4×4 matrices.*

**Peng-Ruei Huang**, *Cyclic weighted shift matrix with reversible weights*

**Pan Shun Lau**, The star-shapedness of a generalized numerical range

**Brian Lins**, *Eigenvalue crossings in Hermitian pencils and the boundary of the numerical range*

**Hiroshi Nakazato**, *Singular points of the Kippenhahn curves for unitary bordering matrices*

**Cesar Palencia**, *The numerical range as a spectral set*

**Linda Patton**, *Numerical ranges with rotational symmetry*

**Patrick Rault**, *Numerical Ranges over Finite Fields*