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Polyhedral bounds on nef cones
Algebra & Discrete Mathematics| Speaker: | Diane Maclagan, Rutgers/Warwick/MSRI |
| Location: | 2112 MSB |
| Start time: | Fri, Feb 6 2009, 2:10PM |
Description
The nef cone of a projective toric variety is a polyhedral cone
associated to the polytope or polyhedral fan defining the toric variety. I
will describe three combinatorially defined polyhedral cones associated to
a polyhedral fan, which all equal the nef cone when the fan is the normal
fan of a polytope, and introduce the question of understanding when these
are equal. This is particularly interesting when the polyhedral fan is
the space of phylogenetic trees, when the cones bound the nef cone of
moduli space of genus zero curves with n marked points. This is joint
work with Angela Gibney (Georgia).