BEGIN:VCALENDAR VERSION:2.0 PRODID:-//University of Utah Math Department//Departmental Colloquium//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Departmental Colloquium - Spring 2005 X-WR-CALDESC:Departmental Colloquium at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20050111T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050111T160000 DTEND;TZID=America/Denver:20050111T170000 DTSTAMP:20260909T174830Z SUMMARY:Ramified Phenomena in Optimal Transportation DESCRIPTION:Speaker: speaker\n\nThe well known transport problem introduced by Monge in 1781 has been studied in many works recently. In these works, the cost of a transport mapping or a transport plan is usually an integral of some function of the distance. However, in many real applications, the actual cost of the transport … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050112T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050112T160000 DTEND;TZID=America/Denver:20050112T170000 DTSTAMP:20260909T174830Z SUMMARY:Math Matters in Biological Timekeeping DESCRIPTION:Speaker: speaker\n\nBiological clocks with a period near one day (circadian) are essential for the survival of most organisms. Circadian clock disorders in man can lead to poor productivity, jet lag, sleep disorders and have been linked to Alzheimer's disease and cancer. The circadian clock within a cell is comprised … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050113T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050113T160000 DTEND;TZID=America/Denver:20050113T170000 DTSTAMP:20260909T174830Z SUMMARY:Resonance Phenomena in Nonlinear Dispersive Partial Differential Equations DESCRIPTION:Speaker: speaker\n\nThe resonance phenomena and stability of a periodically forced, linear oscillator is well understood. But the problem becomes quite difficult when the mechanical system has more than one degree of freedom and the forcing depends on the state of the system. Multiple scale analysis, Poincare … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050117T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050117T160000 DTEND;TZID=America/Denver:20050117T170000 DTSTAMP:20260909T174830Z SUMMARY:Multiple Equilibria in Biochemical Reaction Networks DESCRIPTION:Speaker: speaker\n\nIn nature there are millions of distinct networks of biochemical reactions that might present themselves for study at one time or another. Each reaction network gives rise to its own system of differential equations. These are usually high dimensional, nonlinear, and have many unknown parameters. … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050118T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050118T160000 DTEND;TZID=America/Denver:20050118T170000 DTSTAMP:20260909T174830Z SUMMARY:Multiple Equilibria in Biochemical Reaction Networks DESCRIPTION:Speaker: speaker\n\nIn nature there are millions of distinct networks of biochemical reactions that might present themselves for study at one time or another. Each reaction network gives rise to its own system of differential equations. These are usually high dimensional, nonlinear, and have many unknown parameters. … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050120T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050120T160000 DTEND;TZID=America/Denver:20050120T170000 DTSTAMP:20260909T174830Z SUMMARY:Limit Theorems for Random Walk in Random Environment: Particle Story DESCRIPTION:Speaker: speaker\n\nRandom walk in random environment (RWRE) is a basic model of the field of random media. It has been subject to extensive study in the past three decades. Many questions, although seemingly intuitive and simple, present great mathematical challenges. The point of view of the particle is a method that … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050124T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050124T160000 DTEND;TZID=America/Denver:20050124T170000 DTSTAMP:20260909T174830Z SUMMARY:PDEs and Asymptotics for the Tropical Atmosphere DESCRIPTION:Speaker: speaker\n\nI shall discuss two new asymptotic regimes for the nonlinear PDEs governing the tropical atmosphere. Using systematic multiscale asymptotics, we arrive at an asymptotic closure for the ideal fluid equations governing dynamics on large scales in the tropical atmosphere. By selecting a plausible … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050127T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050127T160000 DTEND;TZID=America/Denver:20050127T170000 DTSTAMP:20260909T174830Z SUMMARY:Finiteness Properties of Local Cohomology Modules DESCRIPTION:Speaker: speaker\n\nThe theory of local cohomology was developed by Grothendieck, who used it to prove Lefschetz-type theorems. The theory has applications to basic questions such as determining the minimal number of polynomial equations needed to define an algebraic set. Local cohomology modules are typically not … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050201T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050201T160000 DTEND;TZID=America/Denver:20050201T170000 DTSTAMP:20260909T174830Z SUMMARY:The Rapid Decay Property for Groups DESCRIPTION:Speaker: speaker\n\nThe property of Rapid Decay is a property of convolution operators that captures certain aspects of the asymptotic geometry of a finitely generated group. In this talk I will give a basic explanation of that property, and describe a theorem joint with Kim Ruane that all lattices in a rank one Lie … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050203T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050203T160000 DTEND;TZID=America/Denver:20050203T170000 DTSTAMP:20260909T174830Z SUMMARY:Additive Functionals of Random Trees DESCRIPTION:Speaker: speaker\n\nIn this talk I will motivate the study of functionals of random trees that satisfy recurrence relations of a simple additive form and describe recent progress in this area. Many important functionals including the space requirement, internal path length, number of leaves, and the so-called "shape … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050208T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050208T160000 DTEND;TZID=America/Denver:20050208T170000 DTSTAMP:20260909T174830Z SUMMARY:Heegner Points and Modular Forms DESCRIPTION:Speaker: speaker\n\nModular forms play an increasingly central role in modern number theory. One classical example is the famous j -invariant whose values at Heegner points, i.e., at quadratic irrationalities in the upper half plane, are known as singular moduli and are of particular arithmetic interest. Recently, … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050210T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050210T160000 DTEND;TZID=America/Denver:20050210T170000 DTSTAMP:20260909T174830Z SUMMARY:Mathematical Analysis of a Neuronal Network: Transitions Between Activity Modes DESCRIPTION:Speaker: speaker\n\nA mathematical model of a brain region called the Pre-Botzinger complex consists of a large system of coupled non-linear ODEs. I will present a mathematical analysis of this system that allows to elucidate the multi-dimensional bifurcation structure responsible for transitions between activity modes … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050211T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050211T160000 DTEND;TZID=America/Denver:20050211T170000 DTSTAMP:20260909T174830Z SUMMARY:Quadratic Differentials in Low Dimensional Topology... DESCRIPTION:Speaker: speaker\n\nQuadratic differentials on a Riemann surface have played a fundamental role in classical Teichmueller theory. Such a differential determines a special type of Euclidean cone metric on the Riemann surface, a projective line of projective measured foliations, and an isometric embedding of the … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050214T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050214T160000 DTEND;TZID=America/Denver:20050214T170000 DTSTAMP:20260909T174830Z SUMMARY:Formulas for Quiver Varieties DESCRIPTION:Speaker: speaker\n\nA quiver variety is a general type of degeneracy locus associated to a quiver of vector bundles and bundle maps over a variety. Examples include Schubert varieties in flag manifolds and determinantal varieties. I have proved a formula for the Grothendieck class of a quiver variety when the … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050215T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050215T160000 DTEND;TZID=America/Denver:20050215T170000 DTSTAMP:20260909T174830Z SUMMARY:Chern Classes of Singular Algebraic Varieties DESCRIPTION:Speaker: speaker\n\nChern classes play a fundamental role in the study of manifolds. In this talk I will address the general problem of finding good notions of Chern classes for singular varieties. I will start by discussing the generalizations proposed by Mather and MacPherson. Then, motivated by the recent discovery … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050217T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050217T160000 DTEND;TZID=America/Denver:20050217T170000 DTSTAMP:20260909T174830Z SUMMARY:Topological Analysis of Enzymatic Actions: Site-specific Recombinases and Topoisomerases DESCRIPTION:Speaker: speaker\n\nDNA topology is the study of geometrical (supercoiling) and topological(knotting) properties of DNA loops and circular DNA molecules. Virtually every reaction involving DNA is influenced by DNA topology, or has topological effects. Site-specific recombinases and topoisomerases are enzymes able to … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050222T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050222T160000 DTEND;TZID=America/Denver:20050222T170000 DTSTAMP:20260909T174830Z SUMMARY:Predictability of Ensemble Simulations DESCRIPTION:Speaker: speaker\n\nStatistical ensemble simulations play an important role in predicting the behavior of chaotic / noise-driven processes in nature. It is therefore imperative to understand and quantify useful information in a forecast ensemble. Modern methods of estimating predictive skill in an ensemble are often … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050223T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050223T160000 DTEND;TZID=America/Denver:20050223T170000 DTSTAMP:20260909T174830Z SUMMARY:Thin Films of Martensitic Materials: Can We Predict Their Microstructure? DESCRIPTION:Speaker: speaker\n\nThe shape memory effect is an important manifestation of the martensitic phase transformation, a phenomenon observed in various metallic alloys, ceramics, and even biological systems. Because of their technological applications as microactuators, martensitic thin films utilizing the shape memory … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050224T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050224T160000 DTEND;TZID=America/Denver:20050224T170000 DTSTAMP:20260909T174830Z SUMMARY:p -Adic Analytic Variation of Modular Forms DESCRIPTION:Speaker: speaker\n\nModular forms are certain holomorphic functions on the complex upper half-plane that possess an infinity of symmetry. Number theorists are interested in the systems of eigenvalues obtained from the action of Hecke operators on modular forms. These (a priori complex) numbers are algebraic integers … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050310T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050310T160000 DTEND;TZID=America/Denver:20050310T170000 DTSTAMP:20260909T174830Z SUMMARY:A New Perspective on Motion by Curvature DESCRIPTION:Speaker: speaker\n\nI will present new work with Sylvia Serfaty. The main focus is motion by curvature in two space dimensions. The level-set formulation of this interface evolution law is a degenerate parabolic equation. We show it can be interpreted as the value function of a deterministic two-person game. More … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050317T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050317T160000 DTEND;TZID=America/Denver:20050317T170000 DTSTAMP:20260909T174830Z SUMMARY:Spring Break Holiday DESCRIPTION:Speaker: speaker\n\nArchival event entry migrated from the legacy colloquium website. LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050321T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050321T160000 DTEND;TZID=America/Denver:20050321T170000 DTSTAMP:20260909T174830Z SUMMARY:How Efficiently Do 3-Manifolds Bound 4-Manifolds? DESCRIPTION:Speaker: speaker\n\nIt is known since 1954 that every 3-manifold bounds a 4-manifold. Thus, for instance, every 3-manifold has a surgery diagram. There are many proofs of this fact, including several constructive ones, but they do not bound the complexity of the 4-manifold. (By "complexity" of a manifold we mean the … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050324T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050324T160000 DTEND;TZID=America/Denver:20050324T170000 DTSTAMP:20260909T174830Z SUMMARY:Variational Methods in the Study of Imaging, Foams, Quantum Dots... and More DESCRIPTION:Speaker: speaker\n\nSeveral questions in applied analysis motivated by issues in computer vision, physics, materials sciences and other areas of engineering may be treated variationally leading to higher order variational problems and to models involving lower order density measures. Their study often requires … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050414T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050414T160000 DTEND;TZID=America/Denver:20050414T170000 DTSTAMP:20260909T174830Z SUMMARY:Dynamics of the Nervous System: Do Rythms Help Us Think? DESCRIPTION:Speaker: speaker\n\nArchival event entry migrated from the legacy colloquium website. LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT BEGIN:VEVENT UID:20050415T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20050415T160000 DTEND;TZID=America/Denver:20050415T170000 DTSTAMP:20260909T174830Z SUMMARY:Modules and Multiple Rhythms in the Nervous System DESCRIPTION:Speaker: speaker\n\nThe nervous system produces many different rhythms, some simultaneously, in different behavioral situations. This talk focuses on the rhythms of the entorhinal cortex (EC), the gateway of the hippocampus. The EC is believed to have functional modules, each containing at least several different kinds … LOCATION:JWB 335 URL:http://math.utah.edu/research/colloquia/test/2005-spring/ END:VEVENT END:VCALENDAR