BEGIN:VCALENDAR VERSION:2.0 PRODID:-//University of Utah Math Department//Departmental Colloquium//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Departmental Colloquium - Spring 2022 X-WR-CALDESC:Departmental Colloquium at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20220103T160000-michael-lindsey@math.utah.edu DTSTART;TZID=America/Denver:20220103T160000 DTEND;TZID=America/Denver:20220103T170000 DTSTAMP:20260909T174830Z SUMMARY:Tools for multimodal sampling DESCRIPTION:Speaker: Michael Lindsey\, Courant Institute New York University\n\nThe task of sampling from a probability distribution with known density arises almost ubiquitously in the mathematical sciences, from Bayesian inference to computational chemistry. The most generic and widely-used method for this task is Markov chain Monte Carlo (MCMC), though this method typically … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220106T160000-spencer-leslie@math.utah.edu DTSTART;TZID=America/Denver:20220106T160000 DTEND;TZID=America/Denver:20220106T170000 DTSTAMP:20260909T174830Z SUMMARY:Periods, L-values, and stabilization DESCRIPTION:Speaker: Spencer Leslie\, Duke University\n\nThe study of period integrals of automorphic forms originates in deep questions about cohomology of locally symmetric spaces. A particularly powerful tool for studying periods is a relative trace formula, which often allows one to relate these integrals to other arithmetic objects like L-functions. … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220106T160000-jingni-xiao@math.utah.edu DTSTART;TZID=America/Denver:20220106T160000 DTEND;TZID=America/Denver:20220106T170000 DTSTAMP:20260909T174830Z SUMMARY:Scattering, Nonscattering, and Inverse Scattering DESCRIPTION:Speaker: Jingni Xiao\, Rutgers University\n\nScattering studies the response of a known medium when probed with waves. In inverse scattering one seeks for information of an unknown medium from the exterior measurement of the scattered waves. One of the interesting questions in both scattering and inverse scattering is whether the scattering … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220110T160000-junshan-lin@math.utah.edu DTSTART;TZID=America/Denver:20220110T160000 DTEND;TZID=America/Denver:20220110T170000 DTSTAMP:20260909T174830Z SUMMARY:Electromagnetic Wave in Novel Materials and Devices: Mathematical Analysis and Numerical Computation DESCRIPTION:Speaker: Junshan Lin\, Auburn University\n\nThe advance in fabrication technology allows for the manipulation of electromagnetic waves at various scales and with high efficiency by novel materials and devices. The significant applications of these materials and devices in physics and engineering have driven the need for mathematical studies … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220111T160000-geordie-williamson@math.utah.edu DTSTART;TZID=America/Denver:20220111T160000 DTEND;TZID=America/Denver:20220111T170000 DTSTAMP:20260909T174830Z SUMMARY:Towards the combinatorial invariance conjecture DESCRIPTION:Speaker: Geordie Williamson\, University of Sydney\n\nThe combinatorial invariance conjecture is a fascinating conjecture in Representation Theory. Basically it says that certain important polynomials are determined in a very non-trivial way by a directed graph. About 2 years ago, I began working on this problem with DeepMind, an AI lab based in … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220113T160000-alice-nadeau@math.utah.edu DTSTART;TZID=America/Denver:20220113T160000 DTEND;TZID=America/Denver:20220113T170000 DTSTAMP:20260909T174830Z SUMMARY:Mathematical Challenges in Modeling Exoplanet Climates DESCRIPTION:Speaker: Alice Nadeau\, Cornell University\n\nIn recent years over 4500 planets have been discovered outside of our solar system. These planets range from small rocky planets that harbor liquid water like Earth to gas giants like Jupiter as hot as 7000 degrees Fahrenheit. However, only limited data can be collected for each planet and dynamical … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220113T160000-wenyu-pan@math.utah.edu DTSTART;TZID=America/Denver:20220113T160000 DTEND;TZID=America/Denver:20220113T170000 DTSTAMP:20260909T174830Z SUMMARY:Exponential mixing of flows for geometrically finite hyperbolic manifolds with cusps DESCRIPTION:Speaker: Wenyu Pan\, University of Chicago\n\nLet \mathbb{H}^n be the hyperbolic n-space and \Gamma be a geometrically finite discrete subgroup in Isom_{+}(\mathbb{H}^n) with parabolic elements. We investigate whether the geodesic flow (resp. the frame flow) over the unit tangent bundle T^1(\Gamma\backslash \mathbb{H}^n) (resp. the frame bundle … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220120T160000-rebecca-bellovin@math.utah.edu DTSTART;TZID=America/Denver:20220120T160000 DTEND;TZID=America/Denver:20220120T170000 DTSTAMP:20260909T174830Z SUMMARY:p-adic variation of Galois representations and modular forms DESCRIPTION:Speaker: Rebecca Bellovin\, University of Glasgow\n\nGalois representations and modular forms are important objects of study in modern algebraic number theory. To study the relationship between them, it is often fruitful to study congruences between them. I will give an introduction to this theory, and I will conclude by discussing some recent results … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220125T160000-jody-reimer@math.utah.edu DTSTART;TZID=America/Denver:20220125T160000 DTEND;TZID=America/Denver:20220125T170000 DTSTAMP:20260909T174830Z SUMMARY:Mathematics for a changing Arctic – from polar bears to algae DESCRIPTION:Speaker: Jody Reimer\, University of Leeds\n\nSea ice is one of the largest and most dynamic biomes on Earth. This extreme, ephemeral environment supports organisms ranging from ice-adapted algae to charismatic polar bears. I will highlight several ways in which mathematics plays a vital role in understanding this ecosystem and anticipating … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220224T160000-robin-pemantle@math.utah.edu DTSTART;TZID=America/Denver:20220224T160000 DTEND;TZID=America/Denver:20220224T170000 DTSTAMP:20260909T174830Z SUMMARY:ACSV - an adventure in combinatorics through many foreign lands, such as analysis, algebraic geometry and topology DESCRIPTION:Speaker: Robin Pemantle\, University of Pennsylvania\n\nAnalytic Combinatorics in Several Variables (ACSV) seeks to estimate coefficients of Laurent series F(x,y,z) where the series has some nice form. Motivation comes from many corners of combinatorics and discrete probability theory, including random walks, lattice paths, quantum walks, random tilings, … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220317T160000-nicolas-garcia-trillos@math.utah.edu DTSTART;TZID=America/Denver:20220317T160000 DTEND;TZID=America/Denver:20220317T170000 DTSTAMP:20260909T174830Z SUMMARY:On multiclass adversarial training, perimeter minimization, and multimarginal optimal transport problems DESCRIPTION:Speaker: Nicolas Garcia Trillos\, University of Wisconsin Madison\n\nAdversarial training is a framework widely used by machine learning practitioners to enforce robustness of learning models. Despite the development of several computational strategies for adversarial training and some theoretical development in the broader distributionally robust optimization … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220324T160000-mary-silber@math.utah.edu DTSTART;TZID=America/Denver:20220324T160000 DTEND;TZID=America/Denver:20220324T170000 DTSTAMP:20260909T174830Z SUMMARY:Vegetation Pattern Formation in Drylands DESCRIPTION:Speaker: Mary Silber\, University of Chicago\n\nA beautiful example of spontaneous pattern formation occurs in certain dryland environments around the globe. Stripes of vegetation alternate with stripes of bare soil, with striking regularity and on a scale readily monitored via satellites. Though the vegetation is a showstopping spectacle, water, … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220331T160000-jayadev-athreya@math.utah.edu DTSTART;TZID=America/Denver:20220331T160000 DTEND;TZID=America/Denver:20220331T170000 DTSTAMP:20260909T174830Z SUMMARY:Variance estimates for geometric counting problems DESCRIPTION:Speaker: Jayadev Athreya\, University of Washington\n\nWe'll discuss three examples (lattices, translation surfaces, hyperbolic surfaces) of computing the variance of natural counting problems for random geometric structures. All of them can be viewed as generalizations of the space of flat structures on the two-dimensional torus. We'll carefully … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220407T160000-elizabeth-munch@math.utah.edu DTSTART;TZID=America/Denver:20220407T160000 DTEND;TZID=America/Denver:20220407T170000 DTSTAMP:20260909T174830Z SUMMARY:Interleaving Distances for Reeb Graphs DESCRIPTION:Speaker: Elizabeth Munch\, Michigan State University\n\nReeb graphs and other related graphical signatures have extensive use in applications, but only recently has there been intense interest in finding metrics for these objects. The idea is that graphical signatures such as Reeb graphs, merge trees, and contour trees encode data in both a space and a … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220414T160000-jeff-calder@math.utah.edu DTSTART;TZID=America/Denver:20220414T160000 DTEND;TZID=America/Denver:20220414T170000 DTSTAMP:20260909T174830Z SUMMARY:Boundary estimation and Hamilton-Jacobi equations on point clouds DESCRIPTION:Speaker: Jeff Calder\, University of Minnesota\n\nThis talk will discuss recent work on estimating the boundary of a domain from iid samples, and on solving Hamilton-Jacobi equations on graphs. We'll present a method for boundary estimation that is scalable to large datasets in high dimensional settings, and provide statistical guarantees that the … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220706T160000-li-cheng-tsai@math.utah.edu DTSTART;TZID=America/Denver:20220706T160000 DTEND;TZID=America/Denver:20220706T170000 DTSTAMP:20260909T174830Z SUMMARY:When particle systems meet PDEs DESCRIPTION:Speaker: Li-Cheng Tsai\, Rutgers University\n\nInteracting particle systems are models that involve many randomly evolving agents or particles. These systems are widely used in describing real-world phenomena. In this talk we will walk through three facets of interacting particle systems: the law of large numbers, random fluctuations, and large … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2022-spring/ END:VEVENT END:VCALENDAR