Thursday June 16, 10:3011:30pm
Padelford
C401
ABSTRACT


Seminar is on Thursday in Padelford C401 at 10:3011:30pm.
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 $(f_0,f_1,f_2)=(n,3n6,2n4)$, 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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