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Inverse Problems and Analysis

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Want to suggest a speaker? Send an email to Mahya Ghandehari.

Seminars will be held on Tuesdays from 11:00 am - 12:00 pm in Ewing 336. 

Information about the Courtyard Newark - University of Delaware Hotel

 

 

Dr. Anna Mazzucato, PennState UniversityDr. Anna Mazzucato, PennState UniversityEWG 336Title: Elliptic equations on polyhedra and applications to the FEM <br></br> Abstract: I will discussed well-posedness of boundary value/interface problems for elliptic equations on polyhedral domains in weighted Sobolev spaces. The well-posedness and regularity results can be used to construct graded meshes that yields optimal convergence rates for FEMs. 9/26/2017 3:00:00 PM9/26/2017 4:00:00 PMFalse
Dr. Yemon Choi, Lancaster University, UKDr. Yemon Choi, Lancaster University, UKEwing 336Title: Directly finite algebras arising from group representations. <br></br> <p>Abstract: Consider doubly-infinite Toeplitz matrices, regarded as operators on $\ell^2({\bf Z})$. The collection of all such matrices forms a commutative algebra, which is a familiar object in mild disguise; and structural properties of this algebra allow us to say some things about the spectral properties of such operators. We can consider analogous objects that arise if we replace ${\bf Z}$ by a noncommutative group, possibly now continuous rather than discrete, or replace $2$ by some other $p\in (1,\infty)$. These algebras of convolution operators have been intensively studied in particular cases but are still somewhat mysterious. </p> <p>In this talk I will consider one particular structural property, "direct finiteness", which turns out to have a surprising application to certain dynamical systems considered in work of Deninger and Schmidt. I will give an outline of how direct finiteness can be established for discrete groups and arbitrary $p$, or unimodular groups when $p=2$, using tools from abstract functional analysis ($C^*$-algebra-theory). </p>10/3/2017 3:00:00 PM10/3/2017 4:00:00 PMFalse
Dr. Matthew Fleeman, Baylor University Dr. Matthew Fleeman, Baylor UniversityTBATitle: Hyponormal Toeplitz operators acting on the Bergman space. <br></br> Abstract: In 1988 Carl Cowen completely characterized hyponormal Toeplitz operators acting on the Hardy space. In the Bergman space setting, similar studies have mostly focused on Toeplitz operators with harmonic symbols. In this talk, we will examine these results and give some new results on the hyponormality of Toeplitz operators acting on the Bergman space with non-harmonic symbols. This is joint work with Conni Liaw. 10/13/2017 7:30:00 PM10/13/2017 8:30:00 PMFalse
Dr. Augustin Cosse, NYU Dr. Augustin Cosse, NYU EWG 336Title: TBA Abstract: TBA10/17/2017 3:00:00 PM10/17/2017 4:00:00 PMFalse

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