From the Wiener-Hopf technique to the Lindelof Hypothesis

Seminar: 
Analysis
Event time: 
Thursday, September 27, 2018 - 8:00pm
Location: 
LOM 215
Speaker: 
Athanassios Fokas
Speaker affiliation: 
University of Cambridge
Event description: 
From the Wiener-Hopf technique to the Lindelof Hypothesis

For many years,the Wiener-Hopf techique was the only manifestation in applications of the Riemann-Hilbert problem.
 However,in the last 50 years the Riemann-Hilbert formalism and its natural generalization called the d-bar formalism 
introduced to the area of integrability by Beals and Coifman have appeared in a large number of problems in mathematics 
and mathematical physics.In this lecture,I will review the impact of the above formalisms in the following:theĀ 
development of a novel,hybrid numerical-analytical method for solving boundary value problems (Fokas Method, 
www.wikipedia.org/wiki/Fokas_method), the introduction of new algorithms in nuclear medical imaging, and most importantly,
a novel approach to the Lindelof Hypothesis (a close relative of the Riemann Hypothesis).