BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:Europe/Vienna
BEGIN:DAYLIGHT
DTSTART:20260329T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=3
TZNAME:CEST
END:DAYLIGHT
BEGIN:STANDARD
DTSTART:20261025T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=10
TZNAME:CET
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20260605T175450Z
UID:6a1e9cbf6eea4640038876@ist.ac.at
DTSTART:20260616T163000
DTEND:20260616T180000
DESCRIPTION:Speaker: Andrew Campbell\nhosted by Laszlo Erdös\nAbstract: Cl
 assical theorems of Laguerre\, Plya\, Hermite\, and Schur (among others) c
 haracterized certain differential operators\, which when applied to a univ
 ariate polynomial preserve the property of all the roots remaining in a sp
 ecified domain\, for example the real line. These results have been extend
 ed to general linear operators on multivariate polynomials\, with the clas
 sification problem completely resolved for many important domains. We will
  discuss some of the motivations behind these Plya-Schur problems and thei
 r relationship to Voiculescu's free probability. Specifically\, we will se
 e that recent works in finite free probability on root distributions under
  the backwards heat flow and repeated differentiation can be generalized t
 o any free infinitely divisible law. At the end of the talk we will discus
 s the natural random matrix ensembles associated with these root preservin
 g operators. Our approach is motivated by these ensembles and the resolven
 t method in random matrix theory\, as opposed to combinatorial approaches 
 common in finite free probability. Based on joint work with Jonas Jalowy (
 https://arxiv.org/abs/2605.31356).
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Andrew Campbell: Pólya-Schur problems\, free probability\, and rel
 ated random matrix models
URL:https://talks-calendar.ista.ac.at/events/6493
END:VEVENT
END:VCALENDAR