BEGIN:VCALENDAR VERSION:2.0 PRODID:-//University of Utah Math Department//Departmental Colloquium//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Departmental Colloquium - Spring 2011 X-WR-CALDESC:Departmental Colloquium at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20110127T160000-chenyang-xu@math.utah.edu DTSTART;TZID=America/Denver:20110127T160000 DTEND;TZID=America/Denver:20110127T170000 DTSTAMP:20260828T105759Z SUMMARY:Boundedness of algebraic varieties DESCRIPTION:Speaker: Chenyang Xu\, Massachusetts Institute of Technology\n\nIn 19 century, Hurwitz proved that for any compact Riemann surfaces of genus g>1, the order of its automorphism group is bounded by 84(g-1). We prove a natural generalization of this result to all dimensions. In fact, this generalization itself is a special case of a conjecture on volumes of … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2011-spring/ END:VEVENT BEGIN:VEVENT UID:20110217T160000-martin-short@math.utah.edu DTSTART;TZID=America/Denver:20110217T160000 DTEND;TZID=America/Denver:20110217T170000 DTSTAMP:20260828T105759Z SUMMARY:The Mathematics of Crime Hotspots DESCRIPTION:Speaker: Martin Short\, University of California, Los Angeles\n\nCriminologists have often observed that crimes tend to form "epidemic" like spatio-temporal patterns, whereby criminal events seem to spawn further events in nearby space-time regions. This often leads to the formation of crime hotspots, which are localized regions of intense criminal activity. … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2011-spring/ END:VEVENT BEGIN:VEVENT UID:20110301T160000-brian-smithling@math.utah.edu DTSTART;TZID=America/Denver:20110301T160000 DTEND;TZID=America/Denver:20110301T170000 DTSTAMP:20260828T105759Z SUMMARY:On local models for Shimura varieties DESCRIPTION:Speaker: Brian Smithling\, University of Toronto\n\nShimura varieties are arithmetically interesting algebraic varieties defined over number fields. A basic problem for them is to define and study "good" models of them over (localizations of) rings of integers, so that (for example) the equations defining them can be reduced mod p. Amongst the most … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2011-spring/ END:VEVENT BEGIN:VEVENT UID:20110303T160000-r.-michael-range@math.utah.edu DTSTART;TZID=America/Denver:20110303T160000 DTEND;TZID=America/Denver:20110303T170000 DTSTAMP:20260828T105759Z SUMMARY:Tangential Cauchy-Riemann Equations: Its Origins and Some More Recent Developments DESCRIPTION:Speaker: R. Michael Range\, State University of New York at Albany and currently visiting University of Utah\n\nIt is quite well known, and surely not surprising, that–in analogy to multivariable real calculus–classical complex analysis, and in particular the Cauchy-Riemann equations,generalize to several complex variables. One of the many new phenomena of the higher dimensional theory involves the … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2011-spring/ END:VEVENT BEGIN:VEVENT UID:20110310T160000-gunther-uhlmann@math.utah.edu DTSTART;TZID=America/Denver:20110310T160000 DTEND;TZID=America/Denver:20110310T170000 DTSTAMP:20260828T105759Z SUMMARY:Travel Time Tomography DESCRIPTION:Speaker: Gunther Uhlmann\, University of Washington\n\nWe will give a general survey on travel time tomography. This consists in determining the internal properties of a medium by measuring the travel times of waves going through the medium. This problem arises in global seismology, oil exploration, medical imaging and ocean acoustics among several … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2011-spring/ END:VEVENT BEGIN:VEVENT UID:20110331T160000-smadar-karni@math.utah.edu DTSTART;TZID=America/Denver:20110331T160000 DTEND;TZID=America/Denver:20110331T170000 DTSTAMP:20260828T105759Z SUMMARY:Numerical Approximation of Shock Waves in Non-Conservative Hyperbolic Systems DESCRIPTION:Speaker: Smadar Karni\, University of Michigan\n\nNon-conservative hyperbolic systems arise in a wide range of applications, which makes their theoretical study and numerical approximation very important. The mathematical theory of weak solutions has been generalized to the nonconservative setup using the notion of vanishing viscosity and viscous … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2011-spring/ END:VEVENT BEGIN:VEVENT UID:20110401T160000-gopal-prasad@math.utah.edu DTSTART;TZID=America/Denver:20110401T160000 DTEND;TZID=America/Denver:20110401T170000 DTSTAMP:20260828T105759Z SUMMARY:Number theoretic techniques in the study of Lie groups and locally symmetric spaces. DESCRIPTION:Speaker: Gopal Prasad\, University of Michigan\n\nIn this talk I will describe recent joint work with Andrei Rapinchuk in which we have used number theoretic techniques to prove the existence of elements with interesting properties in any Zariski-dense subgroup of a real semi-simple Lie group. These elements have been used in several different … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2011-spring/ END:VEVENT BEGIN:VEVENT UID:20110407T160000-pierre-colmez@math.utah.edu DTSTART;TZID=America/Denver:20110407T160000 DTEND;TZID=America/Denver:20110407T170000 DTSTAMP:20260828T105759Z SUMMARY:The p-adic local Langlands correspondence for GL_2(Q_p) DESCRIPTION:Speaker: Pierre Colmez\, Institut de Mathematiques\n\nThe p-adic Langlands program is still in infancy, but the case of GL_2(Q) is rather well understood by now, following Wiles's breakthrough which lead to the proof of Fermat's last theorem. In this lecture, I will try to explain what this program is good for and what we know with respect to its local … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2011-spring/ END:VEVENT BEGIN:VEVENT UID:20110414T160000-jaigyoung-choe@math.utah.edu DTSTART;TZID=America/Denver:20110414T160000 DTEND;TZID=America/Denver:20110414T170000 DTSTAMP:20260828T105759Z SUMMARY:First eigenvalue of the Laplacian on a minimal surface in S3 DESCRIPTION:Speaker: Jaigyoung Choe\, Korean Institute for Advanced Study, visiting Stanford University\n\nA minimal surface is locally the surface with minimum area. Therefore the Euclidean coordinates $x_1,x_2,x_3$ are harmonic on a minimal surface in $\mathbb R^3$. And the Euclidean coordinates $x_i (i=1,2,3,4)$ satisfy $\Delta x_i+2x_i=0$ on a minimal surface in $\mathbb S^3(\subset\mathbb R^4)$. … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2011-spring/ END:VEVENT BEGIN:VEVENT UID:20110421T160000-wilfried-schmid@math.utah.edu DTSTART;TZID=America/Denver:20110421T160000 DTEND;TZID=America/Denver:20110421T170000 DTSTAMP:20260828T105759Z SUMMARY:Hodge theory and unitary representations of reductive Lie groups. DESCRIPTION:Speaker: Wilfried Schmid\, Harvard University\n\nUnderstanding the unitary dual of a general reductive Lie group is the major open problem in the representation theory of such groups. After a discussion of the problem, I shall describe an application of Hodge theory towards its solution. This is joint work with Kari Vilonen. LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2011-spring/ END:VEVENT END:VCALENDAR