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Isaac Newton Institute for Mathematical Sciences

Wiener–Hopf method has been conceived around 90 years ago and since then has shaped many areas of modern analysis. Recently, the method has received a new boost following the progress in matrix factorisation theory that was intensively discussed on the INI Programme "Bringing pure and applied analysis together via the Wiener-Hopf technique, its generalisations and applications" (link https://www.newton.ac.uk/event/wht/) in 2019. During the programme, new ideas and concepts have been identified and a direction of the further method development and its impactful applications have been determined and the Wiener–Hopf type methods enables researchers to solve numerous physical, natural technological and financial problems motivated by real world applications. This follow up Workshop will consider a progress made for last five years in both the theory and applications. In theoretical development, there has been significant progress towards numerical and approximate solutions to various classes of Wiener–Hopf and Riemann–Hilbert problems.