T < 4E

published: 5 Sep 2017  |  
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No s'ha trobat cap mèdia.
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  • Descartes proved that a graph embedding into the plane on V vertices and E edges satisfies

                                                                                             E<3

    Quite disappointingly, no similarly beautiful numerical inequality exists to limit the number of faces of, say, 2-dimensional simplicial complexes embedding in dimension 4, and topological techniques seem to be limited in their reach to provide us with such a result. I will instead use algebra and combinatorics to generalize Descartes' result.

    Presentation by: Karim Adiprasito. Hebrew University of Jerusalem, Israel.

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