BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:Europe/Vienna
BEGIN:DAYLIGHT
DTSTART:20220327T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=3
TZNAME:CEST
END:DAYLIGHT
BEGIN:STANDARD
DTSTART:20221030T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=10
TZNAME:CET
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20260405T215637Z
UID:1648739700@ist.ac.at
DTSTART:20220331T171500
DTEND:20220331T181500
DESCRIPTION:Speaker: Matthijs Vernooij\nhosted by Jan Maas / Haonan Zhang\n
 Abstract: Cipriani and Sauvageot have shown that for any generator L of a 
 tracially symmetric quantum Markov semigroup on a C*-algebra A there exist
 s a densely defined derivation δ from A to a Hilbert bimodule H such that
  L = δ*δ. Here we show that this construction of a derivation can in gen
 eral not be generalised to quantum Markov semigroups that are symmetric wi
 th respect to a non-tracial state. In particular we show that all derivati
 ons to Hilbert bimodules can be assumed to have a concrete form\, and then
  we use this form to show that in the finite-dimensional case the existenc
 e of such a derivation is equivalent to the existence of a positive matrix
  solution of a system of linear equations. We solve this system of linear 
 equations for concrete examples using Mathematica to complete the proof.
LOCATION:Mondi 2 (I01.01.008)\, Central Building\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Matthijs Vernooij: On the existence of derivations as square roots 
 of generators of state-symmetric quantum Markov semigroups
URL:https://talks-calendar.ista.ac.at/events/3678
END:VEVENT
END:VCALENDAR