Speaker: 

Athanassios S. Fokas

Institution: 

University of Cambrige/USC

Time: 

Thursday, April 11, 2019 - 4:00pm to 5:00pm

Host: 

Location: 

RH 306

For many years,the employment of the Wienr-Hopf technique to acoustics 
and other physical problems, was the only manifestation in applications 
of the Riemann-Hilbert formalism. However, in the last 50 years this 
formalism and its natural generalization called the d-bar formalism, 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: the 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).