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DTSTART:20240310T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20241008T140000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/graphs-and-m
 atroids-matthew-kroeker
SUMMARY:Graphs and Matroids - Matthew Kroeker
CLASS:PUBLIC
DESCRIPTION:TITLE: Unavoidable flats in matroids representable over a finit
 e field\n\nSPEAKER:\n Matthew Kroeker\n\nAFFILIATION:\n University of Wate
 rloo\n\nLOCATION:\n MC 5417\n\nABSTRACT: For a positive integer k and fini
 te field F\, we prove that\nevery simple F-representable matroid with suff
 iciently high rank has a\nrank-k flat which either is independent\, or is 
 a projective or affine\ngeometry over a subfield of F.  As a corollary\, 
 we obtain the\nfollowing Ramsey theorem: given an F-representable matroid 
 of\nsufficiently high rank and any 2-colouring of its points\,  there is 
 a\nmonochromatic rank-k flat.  This is joint work with Jim Geelen and\nPe
 ter Nelson. 
DTSTAMP:20260403T084419Z
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