Gaku Liu (MPI MIS, Leipzig)

A counterexample to the extension space conjecture for realizable oriented matroids

Programm / Abstract:
The extension space conjecture of oriented matroid theory states that the space of all one-element, non-loop, non-coloop extensions of a realizable oriented matroid of rank d has the homotopy type of a sphere of dimension d 1. We disprove this conjecture by showing the existence of a realizable uniform oriented matroid of high rank and corank 3 with disconnected extension space. The talk will not assume any prior knowledge of oriented matroids.

am Dienstag den 16. Januar 2018 um 11:00

MPI für Mathematik in den Naturwissenschaften Leipzig
Inselstr. 22
04103 Leipzig
E1 05 (Leibniz-Saal) 1. Etage

eingetragen von Saskia Gutzschebauch(, 0341 9959 50)

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