BEGIN:VCALENDAR VERSION:2.0 PRODID:-//University of Utah Math Department//Departmental Colloquium//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Departmental Colloquium - Spring 2016 X-WR-CALDESC:Departmental Colloquium at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20160112T160000-arul-shankar@math.utah.edu DTSTART;TZID=America/Denver:20160112T160000 DTEND;TZID=America/Denver:20160112T170000 DTSTAMP:20260828T105759Z SUMMARY:The average rank of elliptic curves DESCRIPTION:Speaker: Arul Shankar\, Harvard University\n\nIt is a classical result of Mordell that the rational points on an elliptic curve form a finitely generated abelian group. The rank of an elliptic curve is the rank of the corresponding finitely generated abelian group. A conjecture, due to Goldfeld and Katz-Sarnak, asserts that the average rank of … LOCATION:LCB 219 URL:http://math.utah.edu/research/colloquia/test/2016-spring/ END:VEVENT BEGIN:VEVENT UID:20160114T160000-giulio-tiozzo@math.utah.edu DTSTART;TZID=America/Denver:20160114T160000 DTEND;TZID=America/Denver:20160114T170000 DTSTAMP:20260828T105759Z SUMMARY:Random walks in spaces of negative curvature DESCRIPTION:Speaker: Giulio Tiozzo\, Yale University\n\nGiven a group of isometries of a metric space, one can draw a random sequence of group elements, and look at its action on the space. What are the asymptotic properties of such a random walk? The answer depends on the geometry of the space. Starting from Furstenberg, people considered random walks … LOCATION:LCB 219 URL:http://math.utah.edu/research/colloquia/test/2016-spring/ END:VEVENT BEGIN:VEVENT UID:20160121T160000-wenjia-jing@math.utah.edu DTSTART;TZID=America/Denver:20160121T160000 DTEND;TZID=America/Denver:20160121T170000 DTSTAMP:20260828T105759Z SUMMARY:Stochastic homogenization and random fluctuation theory for partial differential equations DESCRIPTION:Speaker: Wenjia Jing\, University of Chicago\n\nPartial differential equations with oscillatory coefficients arise in many applications, such as the modeling of composite materials and flame propagation. The fine scale variations of the physical media are often unknown and are typically modeled as random. The theory of stochastic homogenization … LOCATION:LCB 219 URL:http://math.utah.edu/research/colloquia/test/2016-spring/ END:VEVENT BEGIN:VEVENT UID:20160126T160000-giovanni-motta@math.utah.edu DTSTART;TZID=America/Denver:20160126T160000 DTEND;TZID=America/Denver:20160126T170000 DTSTAMP:20260828T105759Z SUMMARY:High-dimensional Dynamic Factor Models for Non-stationary Time Series DESCRIPTION:Speaker: Giovanni Motta\, Columbia University\n\nHigh-dimensional time series are the most common type of dataset in the "big data" revolution. They arise in many areas, including neuroscience and econometrics. If the number of series is large, Principal Components Analysis is a powerful tool to reduce the dimensionality of the series. In the … LOCATION:LCB 219 URL:http://math.utah.edu/research/colloquia/test/2016-spring/ END:VEVENT BEGIN:VEVENT UID:20160202T160000-sean-lawley@math.utah.edu DTSTART;TZID=America/Denver:20160202T160000 DTEND;TZID=America/Denver:20160202T170000 DTSTAMP:20260828T105759Z SUMMARY:The mutually beneficial relationship between mathematics and biology DESCRIPTION:Speaker: Sean Lawley\, University of Utah\n\nMathematics and biology enjoy a mutually beneficial relationship. On one side, mathematical tools yield deep insight into biological systems. On the other side, biological problems create fundamentally new questions in mathematics. In this talk, I will walk through a sampling of my own work to … LOCATION:LCB 219 URL:http://math.utah.edu/research/colloquia/test/2016-spring/ END:VEVENT BEGIN:VEVENT UID:20160204T160000-francois-monard@math.utah.edu DTSTART;TZID=America/Denver:20160204T160000 DTEND;TZID=America/Denver:20160204T170000 DTSTAMP:20260828T105759Z SUMMARY:Toward imaging modalities with high(er) resolution DESCRIPTION:Speaker: Francois Monard\, University of Michigan, Ann Arbor\n\nGiven an unknown physical quantity to be imaged, the extent to which an imaging approach best exploits the mathematics and physics of the problem highly impacts (i) what can be reconstructed, and (ii) the available resolution of the resulting images. Improvements in both directions are of tremendous … LOCATION:LCB 219 URL:http://math.utah.edu/research/colloquia/test/2016-spring/ END:VEVENT BEGIN:VEVENT UID:20160209T160000-lizhen-lin@math.utah.edu DTSTART;TZID=America/Denver:20160209T160000 DTEND;TZID=America/Denver:20160209T170000 DTSTAMP:20260828T105759Z SUMMARY:Robust and Scalable Inference for Big Data DESCRIPTION:Speaker: Lizhen Lin\, University of Texas at Austin\n\nWhile theoretically justified and computationally efficient point estimators were developed in robust estimation for many problems, robust Bayesian analogues are not sufficiently well-understood. We propose a novel approach to Bayesian analysis that is provably robust to the presence of outliers and … LOCATION:LCB 219 URL:http://math.utah.edu/research/colloquia/test/2016-spring/ END:VEVENT BEGIN:VEVENT UID:20160216T160000-ignacio-rodriguez-brenes@math.utah.edu DTSTART;TZID=America/Denver:20160216T160000 DTEND;TZID=America/Denver:20160216T170000 DTSTAMP:20260828T105759Z SUMMARY:Replicative senescence as a tumor suppressor DESCRIPTION:Speaker: Ignacio Rodriguez-Brenes\, UC Irvine\n\nNormal somatic cells lose the ability to divide after a limited number of cell divisions. This phenomenon, known as replicative senescence, is an important barrier to tumor progression. Essentially all human cancers acquire mechanisms that allow them to escape replicative senescence, most often … LOCATION:LCB 219 URL:http://math.utah.edu/research/colloquia/test/2016-spring/ END:VEVENT BEGIN:VEVENT UID:20160218T160000-shuyang-bai@math.utah.edu DTSTART;TZID=America/Denver:20160218T160000 DTEND;TZID=America/Denver:20160218T170000 DTSTAMP:20260828T105759Z SUMMARY:Long memory and non-standard limit theorems DESCRIPTION:Speaker: Shuyang Bai\, Boston University\n\nIn time series analysis, the notion "long memory" stands for a slow hyperbolic decay of correlation as the time lag increases. Long memory has made surprisingly frequent appearances both in nature and in human life. In statistical inference, the sample sum plays a central role. Under long memory, … LOCATION:LCB 219 URL:http://math.utah.edu/research/colloquia/test/2016-spring/ END:VEVENT BEGIN:VEVENT UID:20160223T160000-veniamin-morgenshtern@math.utah.edu DTSTART;TZID=America/Denver:20160223T160000 DTEND;TZID=America/Denver:20160223T170000 DTSTAMP:20260828T105759Z SUMMARY:Solving Underdetermined Linear Systems with Highly Correlated Columns DESCRIPTION:Speaker: Veniamin Morgenshtern\, Stanford University\n\nThis talk will consist of two parts. In the first part, I will review the simplest classical result on sparse signal recovery from incomplete data (compressed sensing). Underlying this result is the basic assumption that the columns of the measurment (design) matrix are only weakly correlated. This … LOCATION:LCB 219 URL:http://math.utah.edu/research/colloquia/test/2016-spring/ END:VEVENT BEGIN:VEVENT UID:20160303T160000-vitaly-bergelson@math.utah.edu DTSTART;TZID=America/Denver:20160303T160000 DTEND;TZID=America/Denver:20160303T170000 DTSTAMP:20260828T105759Z SUMMARY:Uniform distribution, generalized polynomials and translations on nil-manifolds. DESCRIPTION:Speaker: Vitaly Bergelson\, The Ohio State University\n\nA classical theorem due to H. Weyl states that if P is a real polynomial such that at least one of its coefficients (other than the constant term) is irrational, then the sequence P(n), n=1,2,... is uniformly distributed mod 1. After briefly reviewing various approaches to the proof of Weyl's … LOCATION:LCB 219 URL:http://math.utah.edu/research/colloquia/test/2016-spring/ END:VEVENT BEGIN:VEVENT UID:20160310T160000-suncica-canic@math.utah.edu DTSTART;TZID=America/Denver:20160310T160000 DTEND;TZID=America/Denver:20160310T170000 DTSTAMP:20260828T105759Z SUMMARY:Fluid-composite structure interaction and blood flow DESCRIPTION:Speaker: Suncica Canic\, University of Houston\n\nFluid-structure interaction (FSI) problems arise in many applications. The widely known examples are aeroelasticity and biofluids. In biofluidic applications, including the interaction between blood flow and cardiovascular tissue, the coupling between the fluid and structure is highly nonlinear … LOCATION:LCB 219 URL:http://math.utah.edu/research/colloquia/test/2016-spring/ END:VEVENT BEGIN:VEVENT UID:20160324T160000-dick-canary@math.utah.edu DTSTART;TZID=America/Denver:20160324T160000 DTEND;TZID=America/Denver:20160324T170000 DTSTAMP:20260828T105759Z SUMMARY:Pressure metrics for higher Teichmuller spaces DESCRIPTION:Speaker: Dick Canary\, University of Michigan\n\nHigher Teichmuller theory studies deformation spaces of ``geometric'' representations into higher rank Lie groups. One goal is to develop analogues of the rich geometric theory of Teichmuller spaces of Riemann surfaces. We will begin by discussing examples of higher Teichmuller spaces and attempt to … LOCATION:LCB 219 URL:http://math.utah.edu/research/colloquia/test/2016-spring/ END:VEVENT BEGIN:VEVENT UID:20160331T160000-mike-wolf@math.utah.edu DTSTART;TZID=America/Denver:20160331T160000 DTEND;TZID=America/Denver:20160331T170000 DTSTAMP:20260828T105759Z SUMMARY:Degenerating Harmonic Maps and Frontiers of Spaces of Representations DESCRIPTION:Speaker: Mike Wolf\, Rice University\n\nSome spaces of surface group representations into Lie groups may be related to geometric structures on a surface and to harmonic maps of surfaces into symmetric spaces. The latter provide for ways of imagining limits of degenerating representations as singular geometric objects such as R-trees and … LOCATION:LCB 219 URL:http://math.utah.edu/research/colloquia/test/2016-spring/ END:VEVENT END:VCALENDAR