Rice University Math Department Calendar

    September 2009          October 2009          November 2009    
 Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
        1  2  3  4  5                1  2  3    1  2  3  4  5  6  7
  6  7  8  9 10 11 12    4  5  6  7  8  9 10    8  9 10 11 12 13 14
 13 14 15 16 17 18 19   11 12 13 14 15 16 17   15 16 17 18 19 20 21
 20 21 22 23 24 25 26   18 19 20 21 22 23 24   22 23 24 25 26 27 28
 27 28 29 30            25 26 27 28 29 30 31   29 30

4:00 pm Tuesday, October 20, 2009
Algebraic Geometry Seminar: Spaces of hyperelliptic curves with simple singularities
by Maksym Fedorchuk (Columbia) in HB 227

The space of n-pointed smooth rational curves can be compactified to Hassett's space of weighted pointed stable curves. Different choices of weights lead to different compactifications related by well-understood birational morphisms. In this work in progress, we study an analogous picture for a certain space of (pointed) smooth hyperelliptic curves.Host Department: Rice University-Mathematics
Submitted by evanmb@gmail.com

4:00 pm Tuesday, November 17, 2009
Algebraic Geometry Seminar : Maps of toric varieties in homogeneous coordinates
by Jarek Buczyn'ski (TAMU) in HB 227

The Cox ring provides a coordinate system on a toric variety analogous to the homogeneous coordinate ring of projective space. This allows to relatively easily construct and describe subvarieties in toric varieties by giving equations (analogously to homogeneous equations in projective space), or to describe sheaves by giving graded modules. Rational maps between projective spaces are described using polynomials in the coordinate ring. In our work we generalise the description of maps to toric varieties and we provide a unified description of maps between toric varieties in terms of their Cox coordinates. The maps in consideration do not necessarily preserve the toric structure. Introducing roots of polynomials is necessary even in the simplest examples. (Joint work with Gavin Brown.)Host Department: Rice University-Mathematics
Submitted by evanmb@gmail.com