Department of Mathematics


  •  On the minimal compactification of the Cayley Grassmannian
  •  11/20/2017
  •  4:10 PM - 5:30 PM
  •  C304 Wells Hall
  •  Ustun Yildirim, MSU

A 3-fold cross product operation exists only in dimensions 4 and 8. A 4-dimensional subspace of an 8 dimensional vector space is called a Cayley plane if it is closed under the 3-fold cross product operation. The Cayley Grassmannian is the space of all Cayley planes. It is naturally a homogeneous space with an algebraic torus action, and it resides in Gr(4,8). Over complex numbers, this space is not compact. In this talk, after I talk about the necessary background, I will explain some of the results I obtained on the minimal compactification of the Cayley Grassmannian.



Department of Mathematics
Michigan State University
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