Stefan Steinerberger, UW math
Monday, May 2, 2022 - 2:30pm to 3:30pm
THO 125
I will discuss some elementary questions about
the behavior of (real-valued) polynomials on the real line and
what happens when you differentiate them a lot (say n/2 times
where n is the degree). The answer turns out to be given by
an explicit PDE as well as free fractional convolution. We give
a version of Voiculescu's Free Central Limit in completely
elementary terms and discuss other contributions by R. Granero-Belinchon,
Z. Kabluchko, J. Hoskins, A. Kiselev, S. O'Rourke, D. Shlyakhtenko,
T. Tao and C. Tan. No knowledge of free probability is required,
there will be lots of nice pictures and many open problems.