BEGIN:VCALENDAR VERSION:2.0 PRODID:-//University of Utah Math Department//Departmental Colloquium//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Departmental Colloquium - Fall 1999 X-WR-CALDESC:Departmental Colloquium at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:19990902T160000-d.-h.-sattinger@math.utah.edu DTSTART;TZID=America/Denver:19990902T160000 DTEND;TZID=America/Denver:19990902T170000 DTSTAMP:20260922T150858Z SUMMARY:Solitary wave interactions at large Mach numbers DESCRIPTION:Speaker: D. H. Sattinger\, Utah State\n\nNumerical experiments on the ion acoustic plasma equations show the Korteweg deVries equation to be an extremely robust model: the qualitative features of the two soliton interaction are preserved even at large Mach numbers, where the KdV approximation is no longer quantitatively accurate. … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/1999-fall/ END:VEVENT BEGIN:VEVENT UID:19990923T160000-matthew-emerton@math.utah.edu DTSTART;TZID=America/Denver:19990923T160000 DTEND;TZID=America/Denver:19990923T170000 DTSTAMP:20260922T150858Z SUMMARY:L-functions with p-adic coefficients in characteristic p DESCRIPTION:Speaker: Matthew Emerton\, Michigan\n\nZeta functions, and more generally L -functions, have long played an important role in number theory. While the classical L -functions attached to algebraic number fields continue remain to some extent quite mysterious, geometric methods have yielded much insight into L -functions attached to … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/1999-fall/ END:VEVENT BEGIN:VEVENT UID:19990930T160000-aaron-bertram@math.utah.edu DTSTART;TZID=America/Denver:19990930T160000 DTEND;TZID=America/Denver:19990930T170000 DTSTAMP:20260922T150858Z SUMMARY:Algebraic geometry at the end of the universe DESCRIPTION:Speaker: Aaron Bertram\n\nIn the mid-1980's, a small group of theoretical physicists studying string theory approached algebraic geometers with a curious proposition. Aside from the four classical space-time dimensions, our universe ought to have six dimensions curled up in a very small compact manifold V. Moreover, from … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/1999-fall/ END:VEVENT BEGIN:VEVENT UID:19991011T160000-kari-vilonen@math.utah.edu DTSTART;TZID=America/Denver:19991011T160000 DTEND;TZID=America/Denver:19991011T170000 DTSTAMP:20260922T150858Z SUMMARY:The geometric Langlands conjecture DESCRIPTION:Speaker: Kari Vilonen\, Brandeis\n\nIn this talk we will discuss the Langlands conjecture for function fields (now a theorem of Lafforgue) and the geometric Langlands conjecture. Most of the lecture will consist of formulating and explaining these conjectures. We will also briefly discuss the proof of the geometric Langlands … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/1999-fall/ END:VEVENT BEGIN:VEVENT UID:19991028T160000-john-r.-stallings@math.utah.edu DTSTART;TZID=America/Denver:19991028T160000 DTEND;TZID=America/Denver:19991028T170000 DTSTAMP:20260922T150858Z SUMMARY:When is a group a free product? DESCRIPTION:Speaker: John R. Stallings\, Berkeley)\n\nFree product in group theory, the non-abelian version of direct sum, has a geometric meaning in terms of fundamental groups. The question as to whether a given group can be written as a non-trivial free product has a few answers in specific cases; for instance, the fundamental group of a closed … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/1999-fall/ END:VEVENT BEGIN:VEVENT UID:19991104T160000-jiu-kang-yu@math.utah.edu DTSTART;TZID=America/Denver:19991104T160000 DTEND;TZID=America/Denver:19991104T170000 DTSTAMP:20260922T150858Z SUMMARY:Neron models of tori DESCRIPTION:Speaker: Jiu-Kang Yu\, Princeton\n\nEvery torus over a local field has a unique Neron model, defined over the ring of integers of that local field. Although this has been know for decades, only recently we begin to understand properties of this model and its consequences to number theory and representation theory. We will survey the … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/1999-fall/ END:VEVENT BEGIN:VEVENT UID:19991111T160000-wilfried-schmid@math.utah.edu DTSTART;TZID=America/Denver:19991111T160000 DTEND;TZID=America/Denver:19991111T170000 DTSTAMP:20260922T150858Z SUMMARY:Analytic-geometric categories - an application of model theory to geometry DESCRIPTION:Speaker: Wilfried Schmid\, Harvard\n\nThe definition of analytic-geometric category, introduced by van den Dries and Miller, extends the notion of subanytic sets and maps. Technically, it is a translation into geometric language of model-theoretic results of Willkie and Marker-McIntyre-van den Dries. After an introduction to these … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/1999-fall/ END:VEVENT BEGIN:VEVENT UID:19991118T160000-rick-durrett@math.utah.edu DTSTART;TZID=America/Denver:19991118T160000 DTEND;TZID=America/Denver:19991118T170000 DTSTAMP:20260922T150858Z SUMMARY:Stochastic spatial models; easy as 1, 2, 3 DESCRIPTION:Speaker: Rick Durrett\, Cornell\n\nIn many situations in biology it is useful to consider a model that represents space as a grid of sites each of which can be in one of a finite number of states and changes at a rate that depends on the state of finitely many neighbors. Durrett and Levin proposed in 1994 that the behavior of these … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/1999-fall/ END:VEVENT BEGIN:VEVENT UID:19991123T160000-mark-kisin@math.utah.edu DTSTART;TZID=America/Denver:19991123T160000 DTEND;TZID=America/Denver:19991123T170000 DTSTAMP:20260922T150858Z SUMMARY:A Riemann-Hilbert correpondence for unit F -crystals DESCRIPTION:Speaker: Mark Kisin\, Sydney, Australia)\n\nLet X be a complex manifold. It is a fundamental fact that there is a correspondence between linear differential equations on X (i.e. vector bundles with flat connection) and complex representations of the fundamental group of X (i.e. local systems of complex vector spaces on X ). This … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/1999-fall/ END:VEVENT BEGIN:VEVENT UID:19991202T160000-oscar-p.-bruno@math.utah.edu DTSTART;TZID=America/Denver:19991202T160000 DTEND;TZID=America/Denver:19991202T170000 DTSTAMP:20260922T150858Z SUMMARY:Accurate solutions of scattering problems: spectral decompositions, asymptotics, smoothness and analyticity DESCRIPTION:Speaker: Oscar P. Bruno\, Caltech\n\nWe have recently found that consideration of the differentiability properties of functions, analytic continuation, spectral decompositions, and various asymptotic expansions can be combined to yield highly accurate, fast algorithms for the solution of problems of scattering containing large two- or … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/1999-fall/ END:VEVENT BEGIN:VEVENT UID:19991209T160000-liliana-borcea@math.utah.edu DTSTART;TZID=America/Denver:19991209T160000 DTEND;TZID=America/Denver:19991209T170000 DTSTAMP:20260922T150858Z SUMMARY:On the magneto-elastic properties of elastomer-ferromagnet composites DESCRIPTION:Speaker: Liliana Borcea\, Rice\n\nWork in collaboration with Oscar Bruno (CalTech). We study the macroscopic, mechanical behavior of composite materials consisting of many rigid, magnetically permeable, spherical inclusions embedded firmly in an isotropic, non-magnetic, continuous matrix. Such composites belong to a class of … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/1999-fall/ END:VEVENT END:VCALENDAR