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                           30 31
    2:00 pm   Monday, March 3, 2008
    Topology Seminar: Commensurability of knot complements
    by Genevieve Walsh (Tufts) in RLM 12.166

      We discuss the commensurability of hyperbolic knot complements in which do not admit hidden symmetries. We show that if such knot complements are commensurable they are cyclically commensurable. It follows that a non-fibered hyperbolic knot complement which does not admit hidden symmetries is not commensurable with a fibered knot complement. Further analysis of their common cyclic quotient and an application of the cyclic surgery theorem shows that there are at most three such knot complements in a given commensurability class. This is joint work with M. Boileau and S. Boyer.

      Submitted by Alan Reid
    2:00 pm   Monday, March 3, 2008
    Junior Analysis: To Be Announced
    by Nestor Guillen (UT) in RLM 11.176

      NEW TIME AND NEW LOCATION, THIS WEEK ONLY

      Submitted by Elizabeth Thoren
    4:00 pm   Monday, March 3, 2008
    Distinguished Women in Mathematics Colloquium: Surface Evolution under Curvature Flows: Existence and Optimal Regularity
    by Panagiota Daskalopoulos (Columbia University) in RLM 6.104

      We will discuss the evolution of a hyper-surface in by functions of its principal curvatures. Typical examples include the Mean Curvature flow, the Gauss Curvature flow, the Inverse Mean Curvature flow and the Harmonic Mean Curvature flow. These flows are described by non-linear parabolic equations for the local embedding map. We will discuss the existence and optimal regularity for such equations as well as the formation of singularities in certain cases.

      Submitted by Orit Davidovich
    12:30 pm   Tuesday, March 4, 2008
    RTG Mini-Course : Tropical Geometry
    by Grigory Mikhalkin (University of Toronto) in RLM 9.166
      Submitted by Lizbeth Lynch
    2:00 pm   Tuesday, March 4, 2008
    Junior Number Theory: Complete -arcs arising from curves with many points
    by Herivelto Borges in RLM 9.166

      In , a -arc is a set of points with at most points on any line and with points on some line. A -arc is complete if it is not contained in a -arc. A natural example of -arc is often given by the set of -rational points of a plane curve of degree . A plane curve is said to have the arc property when it gives rise (in the natural way) to a complete -arc. Some classical examples of such curves (under certain conditions on ) are: conics, elliptic curves and Hermitian curves. However, very little is know about the existence of curves with the arc property for general values of . On this talk, we will discuss some of the recent results regarding such curves, and present a family of curves with many points giving rise to new complete -arcs.

      Submitted by Salman Butt
    12:00 pm   Wednesday, March 5, 2008
    Geometry and Strings: Chern-Simons Topological Quantum Field Theory (con't)
    by Dan Freed (UT Austin) in RLM 9.166

      This semester we are studying topological quantum computation, roughly following http://arxiv.org/pdf/0707.1889?fname=cm&font=TypeI

      Submitted by Dan Freed
    1:00 pm   Wednesday, March 5, 2008
    Analysis seminar: Isoperimetry, symmetrization and log Sobolev inequalities
    by Mario Milman (Florida Atlantic University) in RLM 10.176
      Submitted by Natasa Pavlovic
    1:00 pm   Wednesday, March 5, 2008
    Junior Algebraic Geometry: Classification of Surfaces
    by Zhenhua Qu (UT Austin) in RLM 11.176
      Submitted by Zhenhua Qu
    2:00 pm   Wednesday, March 5, 2008
    Junior Topology: Cubed Complexes and Surface Subgroups
    by Eric Katerman in RLM 12.166

      We will explore some results from a recent paper by Crisp and Wiest on surface groups in right-angled Artin groups.

      Submitted by Neil Hoffman
    4:00 pm   Wednesday, March 5, 2008
    Working Dynamical Systems: Properties of the effective Hamiltonian and the connection with the Aubry-Mather theory
    by Yifeng Yu (U.T Austin) in RLM 10.176

      I will first give a brief introduction of the connection between a Hamilton-Jacobi equation and the Aubry-Mather theory. This is the so called weak KAM theory. An extremely interesting project in weak KAM theory is to understand what kind of dynamical information is encoded in the effective Hamiltonian. As a small progress toward this direction, I will show that the level set of the effective Hamiltonian is when n=2. When n>2, this is false since corner might occur. Other properties will also be discussed if time permits

      Submitted by R. Llave
    12:30 pm   Thursday, March 6, 2008
    RTG Mini-Course : Tropical Geometry
    by Grigory Mikhalkin (University of Toronto) in RLM 9.166
      Submitted by Lizbeth Lynch
    2:00 pm   Thursday, March 6, 2008
    Algebra, Number Theory, and Combinatorics Seminar: Real Hyperelliptic Curves
    by Renate Scheidler (U. Calgary / UT) in RLM 9.166

      Algebraic geometers and cryptographers are very familiar with what we like to call the "imaginary model" of a hyperelliptic curve. Another less familiar description of such a curve is the so-called "real model"; the terminology stems from the analogy to real and imaginary quadratic number fields. Structurally and arithmetically, the real model behaves quite differently from its imaginary counterpart. While divisor addition with subsequent reduction ("giant steps") is still essentially the same, the real model no longer allows for efficiently computable unique representation of elements in the Jacobian via reduced representatives. However, the real model exhibits a so-called infrastructure, with an additional much faster operation ("baby steps"). We present the real model of a hyperelliptic curve and its two-fold baby step giant step divisor arithmetic. We also indicate how to use these algorithms for potential cryptographic and number theoretic applications.

      Submitted by Geir Helleloid
    3:30 pm   Thursday, March 6, 2008
    Geometry Seminar: No seminar will be held
    in RLM 9.166
      Submitted by Lizbeth Lynch
    12:00 pm   Friday, March 7, 2008
    Sophex Seminar: Parabolic Equations With Simple Quadratic Nonlinearities
    by Haotian Wu in RLM 9.166

      We will look at the initial/boundary value problem of a parabolic equation with a simple quadratic nonlinearity and show its solution blows up in finite time.

      Submitted by Nick Rauh
UUTF-8P_Jhttp://www.ma.utexas.edu/cgi-pub/seminar/calendar?year=2008&month=03&day=5 1ENdvB&"py#&&&,0(0X0a699:?A:AAGTIJJ#ORSSXYZMZV``aafiiiorrrxyz=zF$r{;6?539:U