BEGIN:VCALENDAR VERSION:2.0 PRODID:-//University of Utah Math Department//Departmental Colloquium//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Departmental Colloquium - Spring 2024 X-WR-CALDESC:Departmental Colloquium at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20240109T160000-mathilde-gerbelli-gauthier@math.utah.edu DTSTART;TZID=America/Denver:20240109T160000 DTEND;TZID=America/Denver:20240109T170000 DTSTAMP:20260922T150858Z SUMMARY:Growth of cohomology in towers of manifolds: a topological application of the Langlands program DESCRIPTION:Speaker: Mathilde Gerbelli-Gauthier\, McGill University\n\nHow complicated can successive manifolds get in a tower of covering spaces? Specifically, how large can the dimension of the first cohomology get? We will begin with a tour of possible behaviors for low-dimensional spaces, and then focus on arithmetic manifolds. Specifically, for towers of … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240111T160000-nicholas-miller@math.utah.edu DTSTART;TZID=America/Denver:20240111T160000 DTEND;TZID=America/Denver:20240111T170000 DTSTAMP:20260922T150858Z SUMMARY:Superrigidity theorems: old and new DESCRIPTION:Speaker: Nicholas Miller\, University of Oklahoma\n\nIn the 1970s, seminal work of Margulis showed that higher rank lattices have superrigid representations, which in particular implies that all such lattices are arithmetic. Since then Gromov--Piatetski-Shapiro and Deligne--Mostow have shown that a similar superrigidity theorem cannot hold in the … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240116T160000-lucas-mason-brown@math.utah.edu DTSTART;TZID=America/Denver:20240116T160000 DTEND;TZID=America/Denver:20240116T170000 DTSTAMP:20260922T150858Z SUMMARY:Unitary representations of semisimple Lie groups and conical symplectic singularities DESCRIPTION:Speaker: Lucas Mason-Brown\, University of Oxford\n\nOne of the most fundamental unsolved problems in representation theory is to classify the set of irreducible unitary representations of a semisimple Lie group. In this talk, I will define a class of such representations coming from filtered quantizations of certain graded Poisson varieties. The … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240118T160000-francisco-arana-herrera@math.utah.edu DTSTART;TZID=America/Denver:20240118T160000 DTEND;TZID=America/Denver:20240118T170000 DTSTAMP:20260922T150858Z SUMMARY:Closed geodesics on surfaces: topology, geometry, arithmetic DESCRIPTION:Speaker: Francisco Arana-Herrera\, University of Maryland\n\nThe study of closed geodesics on hyperbolic surfaces is a subject that shares deep connections with many areas of mathematics. We survey classic and recent results in the subject, emphasizing the relations between three different perspectives: topology, geometry, and arithmetic. In particular, we … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240314T160000-carolyn-abbott@math.utah.edu DTSTART;TZID=America/Denver:20240314T160000 DTEND;TZID=America/Denver:20240314T170000 DTSTAMP:20260922T150858Z SUMMARY:Boundaries, boundaries, and more boundaries DESCRIPTION:Speaker: Carolyn Abbott\, Brandeis University\n\nIt is possible to learn a lot about a group by studying how it acts on various metric spaces. One particularly interesting (and ubiquitous) class of groups are those that act nicely on negatively curved spaces, called hyperbolic groups. Since their introduction by Gromov in the 1980s, hyperbolic … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240319T160000-ami-radunskaya@math.utah.edu DTSTART;TZID=America/Denver:20240319T160000 DTEND;TZID=America/Denver:20240319T170000 DTSTAMP:20260922T150858Z SUMMARY:Can a function tell us how immune cells kill? DESCRIPTION:Speaker: Ami Radunskaya\, Pomona College\n\nThe immune system is able to fight cancer by mustering and training an army of effector "killer" cells. Mathematical models of tumor-immune interactions must describe the proliferation, recruiting and killing rates of immune cells. Earlier work surprisingly showed that the functions describing the … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240411T160000-jodi-mead@math.utah.edu DTSTART;TZID=America/Denver:20240411T160000 DTEND;TZID=America/Denver:20240411T170000 DTSTAMP:20260922T150858Z SUMMARY:Variational Data Assimilation and Regularization for Ill-posed Problems: A Common Framework DESCRIPTION:Speaker: Jodi Mead\, Boise State University\n\nData assimilation and inverse methods for ill-posed problems find optimal estimates of states or parameters. Methods for both combine observations with a model, which here we assume is a partial differential equation (PDE). Finding a compromise between observations and model is challenging because … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2024-spring/ END:VEVENT END:VCALENDAR