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).