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Archive : Inverse Problems and Analysis

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Professor Victor Lie, Purdue UniversityProfessor Victor Lie, Purdue UniversityZoom<br> Title: THE LGC-METHOD <br> <a href="https://www.mathsci.udel.edu/content-sub-site/Documents/Seminar%20Abstracts/lieAbstract.pdf">Abstract</a>4/7/2021 8:00:00 PM4/7/2021 9:00:00 PMFalse
Professor Akram Aldroubi, Vanderbilt UniversityProfessor 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 PMFalse
Dr. Samuel Harris, Texas A&M UniversityDr. 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 PMFalse
Adina Goldberg, University of WaterlooAdina Goldberg, University of WaterlooZoom<br> Title: Algebraic objects associated to nonlocal games <br> Abstract: Nonlocal games have recently been a topic of interest in operator algebras, mainly for their connection with the longstanding Connes Embedding Conjecture (recently disproven). I will define nonlocal games. Intuitively they are two player, separate-room, question-answer refereed scenarios which are called nonlocal because the players may share entanglement. One fairly general class of games, known as synchronous linear constraint system (syncLCS) games model two players trying to prove that they share a solution to the linear system Ax=b. Two separate papers propose algebraic objects that can be associated to a syncLCS game. One object is the solution group of the game, and the other is the game algebra. I will discuss the ways these objects' algebraic properties encode properties of the game, and then answer the question: Can we unify the two objects? I have shown that the game algebra is in fact isomorphic to a well-motivated quotient of the group algebra of the solution group.3/10/2021 9:00:00 PM3/10/2021 10:00:00 PMFalse

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