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.
Göran 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