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URL:/combinatorics-and-optimization/events/tutte-colloq
 uium-allen-knutson
SUMMARY:Tutte colloquium-Allen Knutson
CLASS:PUBLIC
DESCRIPTION:Summary \n\nTITLE:The mathematics of juggling\n\nSPEAKER:\n All
 en Knutson\n\nAFFILIATION:\n Cornell University\n\nLOCATION:\n MC 5501\n\n
 ABSTRACT: I'll explain how to associate to any matrix a juggling\npattern\
 , with many examples demonstrated. This will give a\ndecomposition of the 
 Grassmannian Gr(k\,n)\, of k-planes in n-space\,\ninto pieces indexed by j
 uggling patterns. I'll explain how this\n\"positroid decomposition\" arise
 s in (1) the very classical theory of\n\"totally positive (real) matrices\
 " (2) the characteristic p theory of\n\"Frobenius splitting\" and (3) Pois
 son geometry.\n\n \n\n \n 
DTSTAMP:20250922T170638Z
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