BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:Europe/Vienna
BEGIN:DAYLIGHT
DTSTART:20200329T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=3
TZNAME:CEST
END:DAYLIGHT
BEGIN:STANDARD
DTSTART:20191027T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=10
TZNAME:CET
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20260404T020033Z
UID:5e33ef2e125a0556987305@ist.ac.at
DTSTART:20200206T160000
DTEND:20200206T180000
DESCRIPTION:Speaker: Krzysztof Ciosmak\nhosted by Jan Maas\nAbstract: For a
  given $1$-Lipschitz map $u\\colon\\mathbb{R}^n\\to\\mathbb{R}^m$ we defin
 e a partition\, up to a set of Lebesgue measure zero\, of $\\mathbb{R}^n$ 
 into maximal closed convex sets such that restriction of $u$ is an isometr
 y on this sets. Suppose we are given a probability measure $\\mu$ such tha
 t weighted Riemannian manifold $(\\mathbb{R}^n\, \\mu\, d)$ satisfied the 
 curvature-dimension condition $CD(\\kappa\, N)$. We consider a disintegrat
 ion $(\\mu_{\\mathcal{S}})$ of $\\mu$ with respect to the partition. We pr
 ove that for almost every set $\\mathcal{S}$ of the partition of dimension
  $m$ the manifold $(\\mathrm{int}\\mathcal{S} \\mu_{\\mathcal{S}}\,d)$ sat
 isfies the $CD(\\kappa\,N)$ condition. This provides a partial affirmative
  answer to a conjecture of Klartag. We provide a counterexample to another
  conjecture of Klartag that\, given a vector measure on $\\mathbb{R}^n$ wi
 th total mass zero\, the conditional measures\, with respect to partition 
 obtained from certain $1$-Lipschitz map\, also have total mass zero.
LOCATION:Heinzel Seminar Room / Office Bldg West (I21.EG.101)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Krzysztof Ciosmak: Leaves decompositions in Euclidean spaces
URL:https://talks-calendar.ista.ac.at/events/2617
END:VEVENT
END:VCALENDAR