Speaker: Nidhi Kaihnsa, Max Planck Institute for Mathematics in the
Sciences, Leipzig.
Time: Tuesday, December 04, 2018, 5-6:15pm.
Venue: Ramanujan Hall.
Title: Computing Convex Hulls of Trajectories.
Abstract: I will talk about the convex hulls of trajectories of polynomial
dynamical systems. Such trajectories also include real algebraic curves.
The boundary of the resulting convex bodies are stratified into families
of faces. I will discuss the numerical algorithms we developed for
identifying these patches of faces. This work is also a step towards
computing the attainable region of a trajectory. This is a joint work with
Daniel Ciripoi, Andreas Loehne, and Bernd Sturmfels.
Time:
4:00pm
Location:
Ramanujan Hall, Department of Mathematics
Description:
Speaker: Prof. Hugues Verdure, Arctic University of Norway
Title: Higher weight spectra for Veronese codes
Day, Date and Time: Thursday, 6th December 2018, 4 pm
Venue: Ramanujan Hall
Abstract: Verones codes are projective Reed-Muller codes of order 2 in P^2. They are obtained by looking at the Veronese map from P^2 to P^5. We already know the higher weight hierarchy of such codes, but in this talk, we will obtain higher weight spectra of these codes, that is, how many subcodes of given dimension and support there are.
We will use the machinery of matroids, resolutions of Stanley-Reisner rings, and generalized weight polynomials to give our result.