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DTSTART;TZID=America/Toronto:20260202T143000
SEQUENCE:0
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URL:https://uwaterloo.ca/pure-mathematics/events/pure-math-colloquium-62
SUMMARY:Pure Math Colloquium
CLASS:PUBLIC
DESCRIPTION:LUKE POSTLE\, UNIVERSITY OF WATERLOO\n\n_A New Proof of the Exi
 stence Conjecture and its Applications to\nExtremal and Probabilistic Desi
 gn Theory_\n\nWe discuss the recently developed method of refined absorpti
 on and how\nit is used to provide a new proof of the Existence Conjecture 
 for\ncombinatorial designs. This method can also be applied to resolve ope
 n\nproblems in extremal and probabilistic design theory while providing a\
 nunified framework for these problems. Crucially\, the main absorption\nth
 eorem can be used as a ``black-box'' in these applications obviating\nthe 
 need to reprove the absorption step for each different setup.\n\nMC 5403
DTSTAMP:20260408T024729Z
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