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Archive : Inverse Problems and Analysis

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Professor Victor Nistor, Universite de Lorraine130Professor Victor Nistor, Universite de LorraineZoom<br> TITLE: Extensions of Kondratiev's results <br> ABSTRACT: Some old results of Kondratiev and others provide regularity, solvability (or well-posedness), and Fredholm results for differential operators on polygons and, more generally, on domains with conical points. My talk is about some extensions of these results to other types of domains or spaces. I thus will begin by reviewing some classical results, including some due to Kondratiev. Then I will introduce a general framework based on vector fields in which one can prove general regularity, well-posedness and Fredholm results. This framework applies both to problems formulated in the interior and on the boundary (layer potential operators). The results of this talk are based, in part, on joint work with Bacuta, Carvalho, Mazzucato, Yu and Zikatanov.5/5/2021 8:00:00 PM5/5/2021 9:00:00 PM
Professor Victor Lie, Purdue University135Professor Victor Lie, Purdue UniversityZoom<br> Title <br> Abstract4/7/2021 8:00:00 PM4/7/2021 9:00:00 PM
Professor Akram Aldroubi, Vanderbilt University133Professor Akram Aldroubi, Vanderbilt UniversityZoom<br> Title: Dynamical sampling and frames <br> Abstract: Dynamical sampling concerns the study of sampling and reconstruction problems that arise from time-varying physical processes measured by unreliable devices with varying locations. As in many sampling and reconstruction problems, dynamical sampling is linked to the theory of frames in Hilbert spaces. In this talk, I will give a brief review of the problem of frame generation from operator powers acting on a set of vectors. I will discuss its relation to dynamical sampling, review some of the previous results, and present several new ones. 3/31/2021 8:00:00 PM3/31/2021 9:00:00 PM
Dr. Samuel Harris, Texas A&M University139Dr. Samuel Harris, Texas A&M UniversityZoom<br> Title: Non-local games and entanglement <br> Abstract: An increasing number of tasks or protocols that are carried out today rely heavily on the existence of entanglement, which is one of the fundamental concepts coming from quantum mechanics. Since the 1960s, non-local games (or interactive provers) have been used as a starting point for experiments to demonstrate certain forms of entanglement. Along the way, non-local games have had a significant impact in areas of mathematics such as operator algebras and computational complexity. In this talk, we'll look at the history of non-local games, and we will focus on some fascinating examples arising from finite, undirected graphs. 3/17/2021 8:00:00 PM3/17/2021 9:00:00 PM

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