BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Talks.cam//talks.cam.ac.uk// X-WR-CALNAME:Talks.cam BEGIN:VEVENT SUMMARY:On the Wiener-Hopf technique and its applications in science and e ngineering: Lecture 2 - David Abrahams (Isaac Newton Institute) DTSTART:20190807T131500Z DTEND:20190807T143000Z UID:TALK128173@talks.cam.ac.uk CONTACT:INI IT DESCRIPTION:It is a little nearly 90 years since two of the most imp ortant mathematicians of the 20th century collaborated on finding the exac t solution of a particular equation with semi-infinite convolution type in tegral operator. The elegance and analytical sophistication of the method\ , now called the Wiener-Hopf technique\, impress all who use it. Its appli cability to almost all branches of engineering\, mathematical physics and applied mathematics is borne out by the many thousands of papers published on the subject since its conception. This series of three lectures will be informal in nature and directed at researchers who are either at an ea rly stage of their career or else unfamiliar with particular aspects of th e subject. Their aim is to demonstrate the beauty of the topic and its wid e range of applications\, and will be delivered in a traditional applied m athematical style. The lectures will not try to offer a comprehensive over view of the literature but will instead focus on specific topics that have been of interest over the years to the speaker. \; \;

The first lecture shall offer a subjective review of the subject\, i ntroducing the notation to be employed in later lectures\, and indicating a sample of the enormous range of applications that have been found for th e technique. The second lecture will focus on exact and approximate soluti on methods for scalar and vector Wiener-Hopf equations\, and indicate the similarities and differences of the various approaches used. The final lec ture shall continue discussion of approximate approaches\, combining these with one or more specific applications of current interest to the speaker .



LOCATION:Seminar Room 1\, Newton Institute END:VEVENT END:VCALENDAR