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URL:/combinatorics-and-optimization/events/tutte-colloq
 uium-luke-postle-3
SUMMARY:Tutte Colloquium - Luke Postle
CLASS:PUBLIC
DESCRIPTION:Summary \n\nTITLE: Refined Absorption: A New Proof of the Exist
 ence Conjecture\n\nSPEAKER:\n Luke Postle\n\nAFFILIATION:\n University of 
 ��ݮ��Ƶ\n\nLOCATION:\n MC 5501\n\nABSTRACT: The study of combinatorial de
 signs has a rich history\nspanning nearly two centuries.  In a recent bre
 akthrough\, the\nnotorious Existence Conjecture for Combinatorial Designs 
 dating back\nto the 1800s was proved in full by Keevash via the method of\
 nrandomized algebraic constructions. Subsequently Glock\, Kühn\, Lo\, and
 \nOsthus provided an alternate purely combinatorial proof of the\nExistenc
 e Conjecture via the method of iterative absorption.  We\nintroduce a nov
 el method of “refined absorption” for designs\; in\nthis talk\, as our
  first application of the method we provide a new\nalternate proof of the 
 Existence Conjecture. Joint work with Michelle\nDelcourt.\n 
DTSTAMP:20250516T170127Z
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