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Title: Absolute Minimizers on Carnot Groups Speaker: Thomas Bieske Time: 5:00pm–6:00pm Place: PHY 120
Aronsson (1967) first considered the problem of canonically extending a Lipschitz function on the boundary of a domain in \(\mathbb{R}^n\) into the whole domain without raising the Lipschitz constant. This problem was solved by R. Jensen (1993). We consider the same problem in a class of non-abelian groups, called Carnot groups, which are also non-isotropic metric spaces.
In addition, properties of such minimizers are discussed.
Title: Generalizations of Chebyshev Polynomials and Polynomial Mappings Speaker: James Griffin, University of Central Florida Time: 5:00pm–6:00pm Place: PHY 120
Generalized Chebyshev Polynomials orthogonal on two disjoint intervals have a representation in terms of elliptic functions. I will present the general case on several intervals and discuss their application to inverse images of a single interval under a polynomial mapping. I will also discuss some recent results on further generalizations of the classical orthogonal polynomials to the several interval case.
Title: How come \(1+1=3\)? Speaker: Wen-Xiu Ma Time: 5:00pm–6:00pm Place: PHY 120
Title: Plancherel-Rotach asymptotics for \(q\)-orthogonal polynomials and a \(q\)-Airy function Speaker: Mourad Ismail, University of Central Florida Time: 5:00pm–6:00pm Place: PHY 120
Title: Algebra of Approximation: Introductory overview Speaker: Boris Shekhtman Time: 5:00pm–6:00pm Place: PHY 120
This seems to be a hot new topic with many possibilities for interesting discoveries in Analysis and Algebraic Geometry.