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DTSTART:20220313T070000
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DTSTART:20211107T060000
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UID:69e09d2b5cb6a
DTSTART;TZID=America/Toronto:20220609T130000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/seminar-zach
 ary-hamacker
SUMMARY:Seminar - Zachary Hamacker
CLASS:PUBLIC
DESCRIPTION:TITLE: Virtual characters of permutation statistics\n\nSpeaker:
 \n Zachary Hamacker\n\nAffiliation:\n University of Florida\n\nRoom:\n MC 
 5483\n\nABSTRACT:\n\nFunctions of permutations are studied in a wide varie
 ty of fields\nincluding probability\, statistics and theoretical computer 
 science. I\nwill introduce a method for studying such functions using\nrep
 resentation theory and symmetric functions. As a consequence\, one\ncan ex
 tract detailed information about asymptotic behavior of many\npermutation 
 statistics with respect to non-uniform measures that are\ninvariant under 
 conjugation. The key new tool is a combinatorial\nformula called the _pat
 h Murnaghan-Nakayama rule_ that gives the\nSchur expansion of a novel ba
 sis of the ring of symmetric functions.\nThis is joint work with Brendon R
 hoades.
DTSTAMP:20260416T082619Z
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