Wednesday January 17, 2007

ANALYSIS SEMINAR

TIME: 3:35 p.m. - 4:25 p.m.
ROOM: Ayres Hall 309A
SPEAKER: Dr. Gunter Semmler, Munich University of Technology
TITLE: Boundary interpolation problems for finite Blaschke products
ABSTRACT: We study the following variant of the classical Nevanlinna-Pick problem: Let t1 ... t_n and w1 ... wn be given points on the unit circle. We search for finite Blaschke products that fulfill the interpolation conditions B(tk) = wk for k = 1 ... n. This question has recently been studied by a number of authors. In contrast to the classical interpolation problem, this problem is always solvable so that we can single out the solution of least degree m satisfying the interpolation conditions. The talk surveys different approaches to study uniqueness, stability, and computation of this minimal solution. In particular, a classification of all interpolation problems as 'fragile', 'elastic', or 'damaged' will be explained, and the different properties of these classes will be exhibited. (Joint work with E. Wegert)

ALGEBRA SEMINAR

TIME: 3:35 p.m. 4:25 p.m.
ROOM: Ayres Hall 214

The Algebra Seminar will have an organizational meeting Wednesday 1/17/2007 in Ayres 214 from 3:35p.m. - 4:25p.m. All interested students are encouraged to attend.