- Series
- Algebra Seminar
- Time
- Friday, April 10, 2015 - 3:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Cynthia Vinzant – North Carolina State
- Organizer
- Greg Blekherman
A reciprocal linear space is the image of a linear space under
coordinate-wise inversion. This nice algebraic variety appears in many
contexts and its structure is governed by the combinatorics of the
underlying hyperplane arrangement. A reciprocal linear space is also an
example of a hyperbolic variety, meaning that there is a family of
linear spaces all of whose intersections with it are real. This special
real structure is witnessed by a determinantal representation of its
Chow form in the Grassmannian. In this talk, I will introduce reciprocal
linear spaces and discuss the relation of their algebraic properties to
their combinatorial and real structure.