|Date: Friday, December 09, 2011
Location: 3866 East Hall (4:10 PM to 5:00 PM)
Title: Mirror symmetry and cluster varieties
Abstract: I will recall the definitions of Fock-Goncharov cluster varieties, reformulate the theory in terms of birational geometry of Calabi-Yau varieties, and explain how the Fock-Goncharov conjectures on canonical dual bases are special cases of our general mirror conjecture, and then deduce from our theorem (discussed in the algebraic geometry seminar) their conjecture for skew symmetric matrices of rank two. No previous knowledge of cluster varieties will be required.
Speaker: Sean Keel
Institution: U. Texas