banner USF Home College of Arts & Sciences OASIS myUSF USF A-Z Index

USF Home > College of Arts and Sciences > Department of Mathematics & Statistics

Mathematics & Statistics

Classical Analysis
(Leader: )

Friday, April 6, 2018

Title
Speaker

Time
Place

TBA
Erik Lundberg
Florida Atlantic University
4:00pm-5:00pm
CMC 130

Abstract

TBA

Friday, February 23, 2018

Title
Speaker
Time
Place

Projective connections and extremal solutions for optimization problems in spaces of analytic functions III
Razvan Teodorescu
4:00pm-5:00pm
CMC 130

Friday, February 16, 2018

Title
Speaker
Time
Place

Projective connections and extremal solutions for optimization problems in spaces of analytic functions II
Razvan Teodorescu
4:00pm-5:00pm
CMC 130

Friday, February 9, 2018

Title
Speaker
Time
Place

Projective connections and extremal solutions for optimization problems in spaces of analytic functions
Razvan Teodorescu
4:00pm-5:00pm
CMC 130

Abstract

An unexpected outcome of the recent proof [1] of the longstanding conjecture that disks and annuli are the only domains where the uniform distance from \(\bar{z}\) to analytic functions achieves its lower bound, is a new insight into projective connections and the classification of quadratic differentials. I will define projective connections and discuss their relation to problems of approximation with analytic functions, as well as the way in which they generalize such optimization problems. If time allows, we will also consider the implications of degenerate representations of conformal transformations associated with a given projective connection.

  1. Ar. Abanov, C. Beneteau, D. Khavinson, and R. Teodorescu, “A free boundary problem associated with the isoperimetric inequality,” to appear in Journal d'Analyse, 2018.

Friday, January 26, 2018

Title
Speaker
Time
Place

Polynomial inequalities on Jordan curves
Vilmos Totik
4:00pm-5:00pm
CMC 130

Abstract

We review some of the classical polynomial inequalities (due to Riesz, Bernstein and Markov), and give their sharp forms on Jordan curves and arcs. If time permits, the same problem for rational functions will also be mentioned.

Friday, January 19, 2018

Title
Speaker

Time
Place

Scaling limits in conformal random growth models: the singular case
Alan Sola
Stockholm University
4:00pm-5:00pm
CMC 130

Abstract

This talk will be about small-particle limits in conformal mapping version of Laplacian random growth. After a brief overview of the subject, I will discuss ongoing joint work with Turner and Viklund, where we focus on the case of highly localizing feedback.