|Date: Friday, October 24, 2014
Location: 3866 East Hall (4:10 PM to 5:00 PM)
Title: Horocycles in Affine Buildings and Tropicalization
Abstract: I will explain what horocycles in affine buildings are, emphasizing the analogy with horocycles in symmetric space. Horocycles in affine buildings give a uniform framework for tropicalizing varieties like configurations of flags or Grassmanians: Let X be the Grassmanian Gr(k,n) or the space of configurations of flags. Then the positive part of the tropicalization of X parameterizes positive configurations of some type of horocycle in the affine building. This can be viewed as a generalization of some of the work of Speyer, Sturmfels and Williams on the tropical Grassmanian, and is also related to work of myself and Goncharov and Shen on higher laminations.
Speaker: Ian Le
Institution: U. Chicago