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  • Null Distance on a Spacetime, II — Department of Mathematics and Computer Science
    06 2015 from 02 10 PM to 03 00 PM Where 225 Ritter Hall Contact Name Dr Khan Add event to calendar vCal iCal Continuation of first talk Document Actions iCalendar vCalendar Send this Print this Subscribe to Talklist Sign up here for a weekly email of upcoming department events Email address Your name February 2016 February Su Mo Tu We Th Fr Sa 1 2 3 4 5 6

    Original URL path: http://mathcs.slu.edu/seminars/topology-seminar/null-distance-on-a-spacetime-ii/?searchterm=None (2016-02-12)
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  • Replacing the Lower Curvature Bound in Toponogov's Comparison Theorem by a Weaker Condition — Department of Mathematics and Computer Science
    s triangle comparison theorem and its generalizations are important tools for studying the topology of Riemannian manifolds In these theorems one assumes that the curvature of a given manifold is bounded from below by the curvature of some model surface The models are either of constant curvature or in the generalizations rotationally symmetric about some point One concludes that geodesic triangles in the manifold correspond to geodesic triangles in the model surface which have the same corresponding side lengths but smaller corresponding angles In addition a certain rigidity holds whenever there is equality in one of the corresponding angles the geodesic triangle in the surface embeds totally geodesically and isometrically in the manifold In this talk I will discuss a condition relating the geometry of a Riemannian manifold to that of a model surface which is weaker than usual curvature hypothesis in the generalized Toponogov theorems but yet is strong enough to ensure that a geodesic triangle in the manifold has a corresponding triangle in the model with the same corresponding side lengths but smaller corresponding angles In contrast it is interesting that rigidity fails in this setting This is joint work with Yutaka Ikeda Document Actions iCalendar vCalendar Send

    Original URL path: http://mathcs.slu.edu/seminars/topology-seminar/replacing-the-lower-curvature-bound-in-toponogovs-comparison-theorem-by-a-weaker-condition/?searchterm=None (2016-02-12)
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  • Conformal Classes and Bounded Geometry in Semi-Riemannian Manifolds — Department of Mathematics and Computer Science
    Seminar When Thu Feb 06 2014 from 01 00 PM to 02 00 PM Where RH 223 Add event to calendar vCal iCal Document Actions iCalendar vCalendar Send this Print this Subscribe to Talklist Sign up here for a weekly email of upcoming department events Email address Your name February 2016 February Su Mo Tu We Th Fr Sa 1 2 3 4 5 6 7 8 9 10 11

    Original URL path: http://mathcs.slu.edu/seminars/topology-seminar/conformal-classes-and-bounded-geometry-in-semi-riemannian-manifolds/?searchterm=None (2016-02-12)
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  • Braided tensor categories and topological quantum computing — Department of Mathematics and Computer Science
    quantum computing filed under Geometry Topology Seminar Topology Seminar by Dr Imre Tuba of Saint Louis U What Geometry Topology Seminar Topology Seminar When Wed Feb 04 2015 from 04 10 PM to 05 00 PM Where 200 Ritter Hall Contact Name Dr Qayum Khan Add event to calendar vCal iCal Tensor categories were introduced as abstract structures to unify properties of tensor products used in algebra algebraic topology representation theory and operator algebra Tensor categories which have an additional structure called braiding have found applications in describing the behavior of particle systems in theoretical physics This additional structure connects such categories to the braid group and its representations I will talk about how these ingredients come together in topological quantum computing which is one of the approaches proposed to build a quantum computer Document Actions iCalendar vCalendar Send this Print this Subscribe to Talklist Sign up here for a weekly email of upcoming department events Email address Your name February 2016 February Su Mo Tu We Th Fr Sa 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Upcoming

    Original URL path: http://mathcs.slu.edu/seminars/topology-seminar/braided-tensor-categories-and-topological-quantum-computing/?searchterm=None (2016-02-12)
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  • More on Splitting Spacetime — Department of Mathematics and Computer Science
    Arts Sciences Home Apply Now Prospective Students Info More on Splitting Spacetime filed under Geometry Topology Seminar Topology Seminar by Dr Carlos Vega of Saint Louis U What Geometry Topology Seminar Topology Seminar When Mon Mar 23 2015 from 04 10 PM to 05 00 PM Where 200 Ritter Hall Contact Name Dr Qayum Khan Add event to calendar vCal iCal In this follow up talk we will take a closer look at the structure of horospheres including their support mean convexity and rigidity properties and discuss further applications to Bartnik s conjecture If time permits we will consider an analogous setup in the positive cosmological constant case and discuss a rigid singularity result for asymptotically deSitter spacetimes Document Actions iCalendar vCalendar Send this Print this Subscribe to Talklist Sign up here for a weekly email of upcoming department events Email address Your name February 2016 February Su Mo Tu We Th Fr Sa 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Upcoming Events Geometry Topology Seminar Tue Feb 16 2016 Orbifolds 04 Kimberly Druschel Math CS Club Wed

    Original URL path: http://mathcs.slu.edu/seminars/topology-seminar/more-on-splitting-spacetime/?searchterm=None (2016-02-12)
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  • Static and Stationary Spacetimes: Algebraic and Causal Structures — Department of Mathematics and Computer Science
    U What Geometry Topology Seminar Topology Seminar When Tue Apr 07 2015 from 04 10 PM to 05 00 PM Where 200 Ritter Hall Contact Name Dr Qayum Khan Add event to calendar vCal iCal Many classical spacetimes models are stationary there s an isometric R action with timelike orbits Simplest examples are metric products of a timelike line with a Riemannian manifold in fact those are static the orbits have integrable perp spaces general structure is that of a line bundle over the space of stationary orbits There can be unexpected deviations from simple causal structure a photon taking longer to go one way around a track than the other way Measuring these deviations allows for a complete categorization of the global causal structure such as being strongly causal The algebraic tool that does this is a cohomology class for static spacetimes but something looser otherwise a cocycle operating on cycles loops Document Actions iCalendar vCalendar Send this Print this Subscribe to Talklist Sign up here for a weekly email of upcoming department events Email address Your name February 2016 February Su Mo Tu We Th Fr Sa 1 2 3 4 5 6 7 8 9 10 11

    Original URL path: http://mathcs.slu.edu/seminars/topology-seminar/t.b.a-1/?searchterm=None (2016-02-12)
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  • Grasping Complexity of Chemical Reactions: Mathematical Models — Department of Mathematics and Computer Science
    Where Ritter Hall 223 Add event to calendar vCal iCal Different approaches to mathematical description of complex chemical reactions are described 1 Algebraic approach Using this approach the complex chemical transformations are described by the systems of linear algebraic equations chemical molecular and stoichiometric matrices Steady state chemical processes are presented by the system of corresponding algebraic equations kinetic system which are in general case non linear Properties of kinetic system are studied in particular a number of physically meaningful solutions A general algebraic form of the steady state rate equation of the complex reaction is obtained the so called kinetic polynomial 2 Dynamic approach Within this approach there are constructed systems of ordinary and partial differential equations in correspondence to chemical matrices and stability of these systems is studied Mathematical procedures of Chemical Calculus non steady state kinetic screening are depicted in detail 3 Analysis of typical patterns New patterns of kinetic behavior recently found theoretically and verified experimentally will be presented i e invariances of the thermodynamic type intersections and coincidences Document Actions iCalendar vCalendar Send this Print this Subscribe to Talklist Sign up here for a weekly email of upcoming department events Email address Your name February

    Original URL path: http://mathcs.slu.edu/seminars/topology-seminar/old-seminars/grasping-complexity-of-chemical-reactions-mathematical-models/?searchterm=None (2016-02-12)
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  • New Index Theory Based Algorithm for the Gravity Gradiometer Inverse Source Problem — Department of Mathematics and Computer Science
    Sciences Home Apply Now Prospective Students Info New Index Theory Based Algorithm for the Gravity Gradiometer Inverse Source Problem filed under Geometry Topology Seminar Robert Anderson Ph D What Geometry Topology Seminar When Tue Dec 03 2013 from 02 10 PM to 03 00 PM Where Ritter Hall 223 Add event to calendar vCal iCal Abstract We present a new algorithm designed to improve the gravity gradiometer inverse solution Our gradiometer observable is a symmetric trace free 2 tensor The algorithm leverages Index Theory which relates changes in index values computed on a closed curve containing a line field generated by the positive eigenvector of the gradiometer tensor to the closeness of fit of the proposed inverse solution to the mass and center of mass of the unknown anomaly Document Actions iCalendar vCalendar Send this Print this Subscribe to Talklist Sign up here for a weekly email of upcoming department events Email address Your name February 2016 February Su Mo Tu We Th Fr Sa 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Upcoming Events Geometry Topology Seminar Tue

    Original URL path: http://mathcs.slu.edu/seminars/topology-seminar/old-seminars/new-index-theory-based-algorithm-for-the-gravity-gradiometer-inverse-source-problem/?searchterm=None (2016-02-12)
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