YRM at the University of Southampton, Mon 23 – Thurs 26 July 2018


Young Researchers in Mathematics (YRM) is the biggest conference in the UK run for young research students, by young research students. Hosting talks from an incredible range of mathematics, YRM annually accommodates for everyone whether it is their first ever conference, first ever conference talk, or even their final PhD thesis talk. You should come. Spread the word: posters!


Barry Simon’s talk at KCL on 14 December 2017

14 December 2017

King’s College Analysis Seminar

Speaker: Prof Barry Simon (Caltech)

Title: Spectral Theory Sum Rules, Meromorphic Herglotz Functions and Large Deviations 

After defining the spectral theory of orthogonal polynomials on the unit circle (OPUC) and real line (OPRL), I’ll describe Verblunsky’s version of Szego’s theorem as a sum rule for OPUC and the Killip–Simon sum rule for OPRL and their spectral consequences. Next I’ll explain the original proof of Killip–Simon using representation theorems for meromorphic Herglotz functions. Finally I’ll focus on recent work of Gamboa, Nagel and Rouault who obtain the sum rules using large deviations for random matrices.

Time and Venue: 3.00pm in Room S-2.08 (see the map), KCL.

For more information: King’s Analysis Seminar’s website