The KU Combinatorics Seminar meets on Wednesdays, 3:00--4:00 PM in Snow 408. Please contact Jeremy Martin if you are interested in speaking.
Abstract: This talk will be an elementary introduction into cluster algebras. They are strangely defined (by Fomin-Zelevinsky) combinatorial/algebraic objects, but somehow find their way into a variety of areas such as quiver representations and Calabi-Yau algebras.
Abstract: Brenti and Welker have shown that for any simplicial n-dimensional complex X, the f-vectors of successive barycentric subdivisions of X have roots which converge to fixed values depending only on the dimension of X. In this talk, we will present this result, sketching a new, simple, and intuitive geometric proof. Moreover, we will discuss generalizations of this result, computations of these limit values, and show an interesting symmetry of the limit values about the real number -2. This is based on joint work with Emanuele Delucchi and Aaron Pixton.
Last updated Wed 4/28/10