Department of

Mathematics


Seminar Calendar
for events the day of Wednesday, February 22, 2006.

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Questions regarding events or the calendar should be directed to Tori Corkery.
     January 2006          February 2006            March 2006     
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Wednesday, February 22, 2006

3:00 pm in 343 Altgeld Hall,Wednesday, February 22, 2006

Geometric D-branes: bundles and sheaves

Sheldon Katz   [email] (UIUC Math and Physics)

Abstract: Having described the open string spectrum and D-branes from a physical viewpoint, D-branes are next desribed geometrically as a submanifold (specifying the boundary condition) together with a vector bundle on the submanifold; the combined data can be described as a sheaf. This circle of ideas will be explored mathematically and related to physics.

4:00 pm in 245 Altgeld Hall,Wednesday, February 22, 2006

Coloring and List Coloring in Graphs and Hypergraphs

Douglas B. West (Department of Mathematics, UIUC)

Abstract: A hypergraph consists of a set of vertices and a set of edges, where each edge is a subset of the vertex set. A graph is a hypergraph in which all edges have size 2. A proper coloring is a labeling of the vertices so that no edge has the same color on all its vertices. We discuss several related problems in coloring of graphs and hypergraphs and explore the more general model of list coloring. In addition to fundamental combinatorial arguments and results from graph theory, we will use ideas from algebra and probability.