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UID:90cbc68e5de71d9fe233028489ab8ddf
CATEGORIES:Symmetric Functions & Probability Theory Seminar
CREATED:20260410T122757
SUMMARY:Macdonald processes and universal limits in discrete random matrix theory
LOCATION:Hill 705
DESCRIPTION:<p><span style="color: #242424; font-family: 'Segoe UI', 'Segoe UI Web (Wes
 t European)', -apple-system, BlinkMacSystemFont, Roboto, 'Helvetica Neue', 
 sans-serif; font-size: 15px; font-style: normal; font-weight: 400; letter-s
 pacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-trans
 form: none; widows: 2; word-spacing: 0px; white-space: normal; background-c
 olor: #ffffff; float: none;">Random matrices over the integers, finite fiel
 ds, and p-adic integers have been studied since the late 1980s as natural m
 odels for random groups appearing in number theory and combinatorics. I wil
 l discuss some exact results relating them to Hall-Littlewood processes, ex
 plain their parallels with classical real/complex random matrix theory, and
  give probabilistic results on local limits which&nbsp;are the most difficu
 lt application of these tools. The latter results find a new limit process,
  the<span>&nbsp;</span></span><i style="color: #242424; font-family: 'Segoe
  UI', 'Segoe UI Web (West European)', -apple-system, BlinkMacSystemFont, Ro
 boto, 'Helvetica Neue', sans-serif; font-size: 15px; font-weight: 400; lett
 er-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-t
 ransform: none; widows: 2; word-spacing: 0px; white-space: normal; backgrou
 nd-color: #ffffff;">reflecting Poisson sea</i><span style="color: #242424; 
 font-family: 'Segoe UI', 'Segoe UI Web (West European)', -apple-system, Bli
 nkMacSystemFont, Roboto, 'Helvetica Neue', sans-serif; font-size: 15px; fon
 t-style: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text
 -align: start; text-indent: 0px; text-transform: none; widows: 2; word-spac
 ing: 0px; white-space: normal; background-color: #ffffff; float: none;">, w
 hich is a discrete-space local interacting particle system and appears as a
  universal limit of Hall-Littlewood processes.</span></p>
CONTACT:Roger Van Peski (Columbia)
DTSTAMP:20260826T120617
DTSTART;TZID=America/New_York:20260428T121000
DTEND;TZID=America/New_York:20260428T131000
SEQUENCE:0
TRANSP:OPAQUE
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