Monday, November 16, 2015
Freie Universität Berlin
Institut für Informatik
Takustr. 7
14195 Berlin
room 005
Lecture - 14:15
Abstract:
Valuated matroids are a generalization of matroids in which
bases are assigned numbers; this abstracts the notion of linear
independence over a field with a valuation. I will introduce these
objects, and describe some of their occurences in tropical geometry.
In addition I will discuss the connections with "tropical ideals",
which are a new piece of tropical commutative algebra (coming from the
theory of tropical schemes)
that uses valuated matroids. This is joint work with Felipe Rincon.
Colloquium - 16:00
Abstract:
Gaussian mixture models have a rich history in statistics, with a wide range of applications including the areas of economics, engineering and genetics. I will explain some fundamental algebraic and combinatorial aspects of these distributions, followed by presenting recent work that studies these distributions from an algebraic statistics perspective. Based on joint work with Mathias Drton, Jean-Charles Faugere and Bernd Sturmfels.