Spring 2024


Organizers: Pierre Clare and Rob Carman

The seminar meets on Wednesdays at 2pm, in Jones 302. Email for information or to be added to the mailing list.

Next talk (Mar. 20)

Vladimir Bolotnikov

Carathéodory Interpolation Problem over Quaternions and Related Questions

Abstract: The classical Carathéodory interpolation problem consists of finding all analytic functions mapping the open unit disc of the complex plane into itself with prescribed first $n$ Taylor coefficients at the origin. The problem was the central topic of Rendiconti del Circolo Matematico di Palermo 32 (1911) and was completely solved by I. Schur in Crelle 147 (1917). We will discuss this problem in the quaternionic setting using the ideas from those original papers combined with several facts from quaternion linear algebra.


4/24Nick Russoniello & Celia Kerr
4/17Nick Russoniello & Celia Kerr
4/03Sarah Day
3/27Fan Ge
3/20Vladimir BolotnikovCarathéodory interpolation problem over quaternions and related questions
3/06Ethan Shelburne (UBC)The Schur-positivity of generalized nets (Slides)
2/28Joshua Erlich (W&M Physics)Stochastic processes, quantum fields, and gravity
2/07Reem Mahmoud (VCU)Equitable coloring in 1-planar graphs (Slides)