Mathematical Sciences
Departmental Weekly Events
April 21 – April 25, 2025
April 21 – April 25, 2025
Monday, April 21
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Abstract: TBA |
Tuesday, April 22
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Wednesday, April 23
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Thursday, April 24
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Friday, April 25
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Abstract: In this talk, I will highlight some ways that finite-dimensional tracial von Neumann algebras help us study infinite-dimensional ones. It’s well known that matrices provide good tools for learning about the structure of tracial von Neumann algebras, but I’ll also illustrate that they can be used to prove concrete limitations to the approach of modeling operators using random matrices. The talk will include some discussion of results in model theory, and is based on some joint works with Isaac Goldbring, David Jekel, and Ilijas Farah. |
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Abstract: The $F$ distribution is central to many classical inferential statistical methods that rely on the assumption of normality. However, when data exhibit multimodality or skewness, this assumption can lead to a lack of robustness, resulting in invalid or inefficient statistical inferences. Consequently, there is considerable interest in relaxing the normality assumption to improve inference about unknown parameters. In this talk, I will first introduce the development of a generalized $F$ distribution based on the skew-normal family of distributions. Following that, I will discuss its application in estimation and hypothesis testing within the framework of skew-normal distributions. Finally, I will highlight some potential research directions in this area. |
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| Abstract: Two maps may be quantum homotopic without being homotopic. This variant notion of homotopy emerges from a combination of threads in noncommutative geometry and quantum information theory. Fortunately, quantum homotopy is reducible to the standard notion, making questions about it amenable to standard topological techniques. This talk will focus on the conceptual motivation for the definition and on its restatement in familiar terms. |
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