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The maximal rank conjecture
Algebraic Geometry and Number Theory| Speaker: | Eric Larson, MIT |
| Related Webpage: | http://www.mit.edu/~elarson3/ |
| Location: | 2112 MSB |
| Start time: | Tue, May 8 2018, 1:10PM |
Curves in projective space can be described in either parametric or Cartesian equations. We begin by describing the Maximal Rank Conjecture, formulated originally by Severi in 1915, which prescribes a relationship between the "shape" of the parametric and Cartesian equations --- that is, which gives the Hilbert function of a general curve of genus g, embedded in P^r via a general linear series of degree d. We then explain how interpolation (covered in Isabel Vogt's talk the day before) can be used to prove this conjecture.
This is a joint seminar in algebraic geometry and geometry/topology.