Thursday June 16, 10:30-11:30pm
Seminar is on Thursday in Padelford C-401 at 10:30-11:30pm.
One aspect of topological combinatorics is face enumeration, and one of its main problems is to understand how the topology of a space affects the face numbers of its simplicial triangulations. For example, Euler proved that any triangulation of $S^2$ satisfies $(f_0,f_1,f_2)=(n,3n-6,2n-4)$, where $f_0,f_1,f_2$ are the number of vertices, edges and triangles, respectively. Since then various algebraic and topological tools have been developed to study face numbers of spheres and manifolds.
|Sara Billey, Combinatorics Seminar, Mathematics Department, University of Washington|
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