- Series
- Algebra Seminar
- Time
- Monday, August 27, 2012 - 3:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Gregory G. Smith – Queens University
- Organizer
- Greg Blekherman
How does one study the asymptotic properties for the Hilbert series of a
module? In this talk, we will examine the function which sends the
numerator of the rational function representing the Hilbert series of a
module to that of its r-th Veronese submodule. As r tends to infinity,
the behaviour of this function depends only on the multidegree of the
module and the underlying multigraded polynomial ring. More
importantly, we will give a polyhedral description for the asymptotic
polynomial and show that the coefficients are log-concave.