LMS Hardy Lecture 2014

Percy Deift (NYU) - Hardy Lecturer 

Asymptotics of Toeplitz, Hankel and Toeplitz+Hankel determinants with Fisher-Hartwig singularities. (P. Deift, A. Its and I. Krasovsky)


We study the asymptotics in n for n-dimensional Toeplitz determinants whose symbols possess Fisher-Hartwig singularities on a smooth background. We prove the general non-degenerate asymptotic behavior as conjectured by Basor and Tracy. We also obtain asymptotics of Hankel determinants on a finite interval as well as determinants of Toeplitz+Hankel type. Our analysis is based on a study of the related system of orthogonal polynomials on the unit circle using the Riemann-Hilbert approach.

Wednesday 18 June 2014 
3 pm, Room 113, Mathematics Building, Whiteknights Campus
4 pm:  Reception in the Mathematics Common Room (112)


These lectures are aimed at a general mathematical audience and form part of the LMS Hardy Lectureship Tour. The 2014 LMS Hardy Fellow is Professor Percy Deift (NYU). The Hardy Fellowship was founded in 1967 in memory of G.H. Hardy in recognition of outstanding contribution to both mathematics and to the Society. The Hardy Fellowship is a lecture tour of the UK by a mathematician with a high reputation in research.

All interested, whether LMS members or not, are most welcome to attend this event. To register for your place at the meeting, please contact Beatrice Pelloni b.pelloni@reading.ac.uk and Jani Virtanen j.a.virtanen@reading.ac.uk



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