20.06.2017 um 16:15 Uhr in 69/125:
Emanuele Ventura (Max-Planck-Institut, Leipzig)
Real rank geometry of ternary forms
The problem of expressing a homogeneous polynomial as a sum of powers of linear forms is very classical and goes back to the work of Sylvester, Hilbert, and Scorza among others. The real rank of a homogeneous polynomial is the smallest number of linear real forms such that the polynomial admits such a representation. The space parametrizing all real decompositions of a polynomial as a minimal sum of powers is a semialgebraic set sitting inside the classical varieties of sums of powers. We will discuss these real geometric objects for general plane curves of small degrees. This is a joint work with M. Michalek, H. Moon and B. Sturmfels.
22.06.2017 um 12:15 Uhr in 69/117:
Dr. Girja Tripathi (IISER Tirupati, Indien)
Product structures on some quotients of algebraic cobordism
In this talk I will discuss product structures on some quotients of algebraic cobordism that include Morava K-theories by using the vanishing of certain homotopy groups of these quotients. This is joint work with Paul Ostvaer and Markus Spitzweck.