The Second Florida Analysis Seminar
Saturday, May 14, 2011
Florida Southern College, Lakeland FL
(follow the link above for map and directions)
For information about the First Florida Analysis Seminar, please visit the event webpage.
Seminar speakers:
Michael Jury, University of Florida
Title: “Analysis on varieties”
Abstract: This talk will be a survey of some recent results concerning operator theory and function theory in "1 + epsilon variables". More precisely, we investigate some of the connections between pairs of commuting, contractive operators S,T on Hilbert space that satisfy a polynomial relation p(S,T)=0, and the theory of holomorphic functions on the variety p(z,w)=0 in C^2.
Erik Lundberg, Purdue University and the University of South Florida
Title: “Planar harmonic maps arising in the theory of gravitational lensing”
Abstract: Wilmshurst's conjecture bounds the number of zeros of a (complex-valued) harmonic polynomial. The proof of a known special case was extended to rational functions by D. Khavinson and G. Neumann. This turned out to resolve S. Rhie's conjecture in astronomy on the number of images produced by point-mass gravitational lenses. Other image-counting problems in gravitational lensing can also be reduced to problems in complex analysis. We discuss the number of images lensed by an elliptical galaxy, which leads to a transcendental harmonic map.
Registration and talks will be held in Polk Science 155.
To register for this event, please e-mail the University of South Florida organizer, professor Dima Khavinson (at dkhavins@usf.edu), indicating your name, affiliation, and contact information.
Parking information: please use the link above for the map and directions. Campus parking is free and lot VA is the most convenient for access to the seminar location.
Meeting program:
10:00 - 10:30 Registration and coffee reception. A flat charge of 15.00$ will cover registration costs, a boxed lunch and coffee breaks.
10:30 -11:30 Michael Jury
11:30 - 11:50 coffee break
11:50 - 12:50 Erik Lundberg
1:00 - 2:30 lunch.
2:30 - Discussions.