BEGIN:VCALENDAR VERSION:2.0 PRODID:-//University of Utah Math Department//Departmental Colloquium//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Departmental Colloquium - Spring 2001 X-WR-CALDESC:Departmental Colloquium at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20010111T160000-patrick-guidotti@math.utah.edu DTSTART;TZID=America/Denver:20010111T160000 DTEND;TZID=America/Denver:20010111T170000 DTSTAMP:20260821T120902Z SUMMARY:Exploiting anisotropy in PDEs DESCRIPTION:Speaker: Patrick Guidotti\, Caltech\n\nPDEs in partly unbounded cylinder like domains occur frequently in applications. One of their apparent features is the natural anisotropy between bounded and non bounded directions. We shall illustrate how one can take advantage of this structure to simplify their analysis considering two different … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2001-spring/ END:VEVENT BEGIN:VEVENT UID:20010118T160000-john-j.-millson@math.utah.edu DTSTART;TZID=America/Denver:20010118T160000 DTEND;TZID=America/Denver:20010118T170000 DTSTAMP:20260821T120902Z SUMMARY:Casimir operators and representations of generalized braid groups DESCRIPTION:Speaker: John J. Millson\, University of Maryland\n\nLet g be a complex, simple Lie algebra with Cartan subalgebra h and Weyl group W. I will construct a one-parameter family of W -equivariant, unitary flat connections on h with values in any finite-dimensional g -module V and simple poles on the root hyperplanes. The fundamental group of the quotient … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2001-spring/ END:VEVENT BEGIN:VEVENT UID:20010122T160000-chandashekhar-khare@math.utah.edu DTSTART;TZID=America/Denver:20010122T160000 DTEND;TZID=America/Denver:20010122T170000 DTSTAMP:20260821T120902Z SUMMARY:The absolute Galois group of Q DESCRIPTION:Speaker: Chandashekhar Khare\, Bombay, India)\n\nThe absolute Galois group of Q is one of the central objects of study in algebraic number theory. To vary a well-known quote, one may say that this group knows everything about number fields and one has only to persuade it to tell us. I will talk of recent attempts of studying this group through its … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2001-spring/ END:VEVENT BEGIN:VEVENT UID:20010125T160000-peter-j.-mucha@math.utah.edu DTSTART;TZID=America/Denver:20010125T160000 DTEND;TZID=America/Denver:20010125T170000 DTSTAMP:20260821T120902Z SUMMARY:Fluctuations and backflow in dilute sedimentation DESCRIPTION:Speaker: Peter J. Mucha\, MIT\n\nSedimenting suspensions of monodisperse rigid spherical particles in a state of creeping flow are considered in the dilute limit, where only low-order particle-particle interactions are kept to simplify the dynamical equations. In this limit, O(N) codes can easily simulate more than 10^5 particles. … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2001-spring/ END:VEVENT BEGIN:VEVENT UID:20010130T160000-robert-bauer@math.utah.edu DTSTART;TZID=America/Denver:20010130T160000 DTEND;TZID=America/Denver:20010130T170000 DTSTAMP:20260821T120902Z SUMMARY:Construction of heat flows via random holonomy and applications DESCRIPTION:Speaker: Robert Bauer\, Georgia Tech\n\nI will explain how to construct geometric heat flows on manifolds through the use of stochastic parallel translation and give applications of this construction to the regularity of heat flows and spectral theory of geometric Laplacians. Some applications are: stochastic characterizations of the … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2001-spring/ END:VEVENT BEGIN:VEVENT UID:20010201T160000-hassan-allouba@math.utah.edu DTSTART;TZID=America/Denver:20010201T160000 DTEND;TZID=America/Denver:20010201T170000 DTSTAMP:20260821T120902Z SUMMARY:Change of measure and SDDEs: Two approaches for stochastic PDEs and their applications DESCRIPTION:Speaker: Hassan Allouba\, Indiana\n\nStochastic PDEs (SPDEs) form one of the hottest and most difficult fields in Probability theory and its interactions with PDEs and Stochastic Analysis. In this talk, I will describe two approaches which are effective in the study of existence, uniqueness, as well as qualitative behavior questions … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2001-spring/ END:VEVENT BEGIN:VEVENT UID:20010205T160000-christopher-hacon@math.utah.edu DTSTART;TZID=America/Denver:20010205T160000 DTEND;TZID=America/Denver:20010205T170000 DTSTAMP:20260821T120902Z SUMMARY:On numbers which classify algebraic varieties DESCRIPTION:Speaker: Christopher Hacon\, Riverside)\n\nOne useful way to organize our understanding of algebraic varieties, that is, solution sets of systems of polynomials, is by counting the number of linearly independent ( m -multiple-valued) top-degree holomorphic differential forms on the variety. These numbers, denoted as P_m, are called … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2001-spring/ END:VEVENT BEGIN:VEVENT UID:20010206T160000-jennifer-schultens@math.utah.edu DTSTART;TZID=America/Denver:20010206T160000 DTEND;TZID=America/Denver:20010206T170000 DTSTAMP:20260821T120902Z SUMMARY:The tunnel number of a knot DESCRIPTION:Speaker: Jennifer Schultens\, Emory University\n\nThe tunnel number of a knot is the minimal number of disjoint properly embedded arcs that must be removed from the complement of the knot in order to obtain a handlebody (i.e., a 3-dimensional fattening of a wedge of circles). We will compare and contrast the tunnel number with some of the other … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2001-spring/ END:VEVENT BEGIN:VEVENT UID:20010213T160000-ken-bromberg@math.utah.edu DTSTART;TZID=America/Denver:20010213T160000 DTEND;TZID=America/Denver:20010213T170000 DTSTAMP:20260821T120902Z SUMMARY:Self-bumping of deformation spaces of hyperbolic 3-manifolds DESCRIPTION:Speaker: Ken Bromberg\, University of Michigan\n\nIn the Sullivan dictionary between Kleinian groups and rational maps, the space of complete hyperbolic structures on a 3-manifold is the analogue of the Mandelbrot set. We will describe some similarities between the two spaces, but will also see that the space of hyperbolic structures exhibits … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2001-spring/ END:VEVENT BEGIN:VEVENT UID:20010215T160000-dan-barbasch@math.utah.edu DTSTART;TZID=America/Denver:20010215T160000 DTEND;TZID=America/Denver:20010215T170000 DTSTAMP:20260821T120902Z SUMMARY:Some functorial properties of the unitary dual DESCRIPTION:Speaker: Dan Barbasch\, Cornell\n\nUnitary representations of reductive groups play a role in many branches of mathematics such as automorphic forms, analysis and mathematical physics. The classification of the irreducible unitary dual is a basic problem of representation theory which is still far from being solved. One of the basic … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2001-spring/ END:VEVENT BEGIN:VEVENT UID:20010301T160000-stanislav-smirnov@math.utah.edu DTSTART;TZID=America/Denver:20010301T160000 DTEND;TZID=America/Denver:20010301T170000 DTSTAMP:20260821T120902Z SUMMARY:Critical percolation in the plane is conformally invariant DESCRIPTION:Speaker: Stanislav Smirnov\, Stockholm & Caltech)\n\nWe will study critical site percolation on triangular lattice in the plane. We will discuss proofs of Cardy's formula (physical prediction for the probability of rectangle crossings), its conformal invariance, and construction the (conformally invariant) continuum scaling limit. LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2001-spring/ END:VEVENT BEGIN:VEVENT UID:20010306T160000-selman-akbulut@math.utah.edu DTSTART;TZID=America/Denver:20010306T160000 DTEND;TZID=America/Denver:20010306T170000 DTSTAMP:20260821T120902Z SUMMARY:Lefschetz fibrations and Stein surfaces DESCRIPTION:Speaker: Selman Akbulut\, Michigan State\n\nWe will discuss some geometric structures on smooth 4-manifolds as a tool to understand their topology. For example, every closed smooth 4-manifold can be decomposed as a union of two Stein surfaces, and a Stein surface is nothing more than a Lefschetz fibration on a 2-disk. LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2001-spring/ END:VEVENT BEGIN:VEVENT UID:20010322T160000-eriko-hironaka@math.utah.edu DTSTART;TZID=America/Denver:20010322T160000 DTEND;TZID=America/Denver:20010322T170000 DTSTAMP:20260821T120902Z SUMMARY:Lehmer's problem and pretzel knots DESCRIPTION:Speaker: Eriko Hironaka\, Florida State\n\nFor a monic integer polynomial f(x) the Mahler measure of f(x) is the product of the roots outside the unit circle. In 1933, Lehmer posed the following problems: Can the Mahler measure for noncyclotomic irreducible monic integer polynomials be bounded away from 1? If yes, is the lower bound given by … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2001-spring/ END:VEVENT BEGIN:VEVENT UID:20010329T160000-stephen-rudich@math.utah.edu DTSTART;TZID=America/Denver:20010329T160000 DTEND;TZID=America/Denver:20010329T170000 DTSTAMP:20260821T120902Z SUMMARY:The history and status of P versus NP question DESCRIPTION:Speaker: Stephen Rudich\, Carnegie Mellon\n\nArchival event entry migrated from the legacy colloquium website. LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2001-spring/ END:VEVENT BEGIN:VEVENT UID:20010405T160000-eric-m.-friedlander@math.utah.edu DTSTART;TZID=America/Denver:20010405T160000 DTEND;TZID=America/Denver:20010405T170000 DTSTAMP:20260821T120902Z SUMMARY:Algebraic cycles and algebraic K-theory DESCRIPTION:Speaker: Eric M. Friedlander\, Northwestern\n\nAlgebraic K-theory has been closely linked to the study of algebraic cycles in algebraic geometry ever since Grothendieck first formulated $K_0^{alg}(X)$. Inspired by algebraic K-theory, Atiyah, Hirzebruch, and Adams quickly followed Grothendieck by first formulating and then applying topological … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2001-spring/ END:VEVENT END:VCALENDAR