Past Seminars- Conference

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  • Jeff Achter
    Sat Oct 25, 2008
    2:30 pm
    Let E be an elliptic curve over an algebraically closed field k of characteristic p>0. Then the physical p-torsion E[p](k) is either trivial, and E is called supersingular, or E[p](k) is a group of order p. More generally, if X/k is an abelian variety of dimension g, then X[p](k) is isomorphic to (Z/p)^f for some number f, called the p-rank...
  • Jordan Ellenberg
    Sat Oct 25, 2008
    11:30 am
    A Hurwitz space H_{G,n} is an algebraic variety parametrizing branched covers of the projective line with some fixed finite Galois group G. We will prove that, under some hypotheses on G, the rational i'th homology of the Hurwitz spaces stabilizes when the number of branch points is sufficiently large compared to i. This purely topological...
  • Sat Oct 25, 2008
    10:00 am
    Southern California Number Theory Day, 10:00-5:00
  • Brian Conrad
    Sat Oct 25, 2008
    10:00 am
    Generalized ideal class groups can be described adelically in terms of a coset space for the group GL1, and this in turn leads to a notion of "class number" (as the size of a certain set, if finite) for an arbitrary affine algebraic group over a global field. Related to this is the notion of the "Tate-Shafarevich set" of an algebraic group, which...
  • Mathematical Systems Biology - Spatial Dynamics an Qing Nie
    Thu Feb 28, 2008
    9:00 am
    Mathematical Systems Biology - Spatial Dynamics and Growth and Signaling
  • Prof Chuu-Lian Terng and Zhiqin Lu
    Sat Feb 2, 2008
    12:00 pm
    XVth Southern California Geometric Analysis Seminar
  • Audrey Terras
    Sat Oct 27, 2007
    4:00 pm
    I will present an introduction to zeta and L-functions of graphs by comparison with the zeta and L-functions of number theory. Basic properties will be discussed, including: the Ihara formula saying that the zeta function is the reciprocal of a polynomial. I will then explore graph analogs of the Riemann hypothesis, the prime number theorem,...