BEGIN:VCALENDAR VERSION:2.0 PRODID:-//University of Utah Math Department//Departmental Colloquium//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Departmental Colloquium - Fall 2021 X-WR-CALDESC:Departmental Colloquium at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20210923T160000-david-constantine@math.utah.edu DTSTART;TZID=America/Denver:20210923T160000 DTEND;TZID=America/Denver:20210923T170000 DTSTAMP:20260922T150858Z SUMMARY:Geodesic flows on locally CAT(-1) spaces DESCRIPTION:Speaker: David Constantine\, Wesleyan University\n\nGeodesic flows on compact, negatively curved Riemannian manifolds famously have lots of extremely nice dynamical properties. To what extent do those properties hold for geodesic flows on metric spaces that are negatively curved? In this talk I'll discuss how we can consider geodesic flows on general … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-fall/ END:VEVENT BEGIN:VEVENT UID:20210930T160000-james-murphy@math.utah.edu DTSTART;TZID=America/Denver:20210930T160000 DTEND;TZID=America/Denver:20210930T170000 DTSTAMP:20260922T150858Z SUMMARY:Geometric and Statistical Approaches to Shallow and Deep Clustering DESCRIPTION:Speaker: James Murphy\, Tufts University\n\nWe propose approaches to unsupervised clustering based on data-dependent distances and dictionary learning. By considering metrics derived from data-driven graphs, robustness to noise and ambient dimensionality is achieved. Connections to geometric analysis, stochastic processes, and deep learning … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-fall/ END:VEVENT BEGIN:VEVENT UID:20211007T160000-jennifer-balakrishnan@math.utah.edu DTSTART;TZID=America/Denver:20211007T160000 DTEND;TZID=America/Denver:20211007T170000 DTSTAMP:20260922T150858Z SUMMARY:Rational points on curves and quadratic Chabauty DESCRIPTION:Speaker: Jennifer Balakrishnan\, Boston University\n\nLet C be a smooth projective curve defined over the rational numbers with genus at least 2. It was conjectured by Mordell in 1922 and proved by Faltings in 1983 that C has finitely many rational points. However, Faltings' proof does not give an algorithm for finding these points, and in practice, … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-fall/ END:VEVENT BEGIN:VEVENT UID:20211021T160000-alan-reid@math.utah.edu DTSTART;TZID=America/Denver:20211021T160000 DTEND;TZID=America/Denver:20211021T170000 DTSTAMP:20260922T150858Z SUMMARY:The geometry, topology and arithmetic of Bianchi orbifolds and their finite covers DESCRIPTION:Speaker: Alan Reid\, Rice University\n\nLet d be a square-free positive integer, and let O d denote the ring of integers in Q (sqrt(− d) ). Then the groups PSL (2, O d ) are known as the Bianchi groups, and are a natural generalization of the modular group PSL (2, Z ). The Bianchi groups are discrete subgroups of PSL (2, C ), and as such … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-fall/ END:VEVENT BEGIN:VEVENT UID:20211026T160000-deanna-needell@math.utah.edu DTSTART;TZID=America/Denver:20211026T160000 DTEND;TZID=America/Denver:20211026T170000 DTSTAMP:20260922T150858Z SUMMARY:On the topic of topic modeling: enhancing machine learning approaches with topic features DESCRIPTION:Speaker: Deanna Needell\, University of California Los Angeles\n\nIn this talk we touch on several problems in machine learning that can benefit from the use of topic modeling. We present topicmodeling based approaches for online prediction problems, computer vision, text generation, and others. While these problems have classical machine learning approaches that … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-fall/ END:VEVENT BEGIN:VEVENT UID:20211111T160000-thomas-hales@math.utah.edu DTSTART;TZID=America/Denver:20211111T160000 DTEND;TZID=America/Denver:20211111T170000 DTSTAMP:20260922T150858Z SUMMARY:Formal Proof DESCRIPTION:Speaker: Thomas Hales\, University of Pittsburgh\n\nA formally verified proof is a proof that has been checked by software to be free of errors. The software is based on the foundational axioms and rules of logic of mathematics. This talk will give a survey of this field of research, including some of the recent theorems that have been formally … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-fall/ END:VEVENT BEGIN:VEVENT UID:20211118T160000-charles-smart@math.utah.edu DTSTART;TZID=America/Denver:20211118T160000 DTEND;TZID=America/Denver:20211118T170000 DTSTAMP:20260922T150858Z SUMMARY:Localization and unique continuation on the integer lattice DESCRIPTION:Speaker: Charles Smart\, Yale University\n\nI will discuss results on localization for the Anderson-Bernoulli model. This will include my work with Ding as well as work by Li-Zhang. Both develop new unique continuation results for the Laplacian on the integer lattice. LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-fall/ END:VEVENT BEGIN:VEVENT UID:20211202T160000-mason-porter@math.utah.edu DTSTART;TZID=America/Denver:20211202T160000 DTEND;TZID=America/Denver:20211202T170000 DTSTAMP:20260922T150858Z SUMMARY:Topological Data Analysis of Spatial Complex Systems DESCRIPTION:Speaker: Mason Porter\, University of California Los Angeles\n\nFrom the venation patterns of leaves to spider webs, roads in cities, social networks, and the spread of COVID-19 infections and vaccinations, the structure of many systems is influenced significantly by space. In this talk, I'll discuss the application of topological data analysis (specifically, … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-fall/ END:VEVENT BEGIN:VEVENT UID:20211214T160000-rachel-skipper@math.utah.edu DTSTART;TZID=America/Denver:20211214T160000 DTEND;TZID=America/Denver:20211214T170000 DTSTAMP:20260922T150858Z SUMMARY:From simple groups to symmetries of surfaces DESCRIPTION:Speaker: Rachel Skipper\, Ohio State University\n\nWe will take a tour through some families of groups of historic importance in geometric group theory, including self-similar groups and Thompson’s groups. We will discuss the rich, continually developing theory of these groups which act as symmetries of the Cantor space, and how they can be used to … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-fall/ END:VEVENT END:VCALENDAR