BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:On the notion of mean on a metric space. The case of Wasserstein s
 pace.
DTSTART:20260618T090000Z
DTEND:20260618T101500Z
DTSTAMP:20260614T003800Z
UID:indico-event-15433@indico.math.cnrs.fr
DESCRIPTION:Speakers: Jérôme Bertrand (IMT Toulouse)\n\nAbstract: In th
 is talk\, I will discuss the concept of a barycenter on a general metric s
 pace. This notion provides a definition of the “mean” in spaces where 
 the absence of a linear structure makes this concept ambiguous. This notio
 n is particularly useful in Statistics\, (metric) geometry\, and data scie
 nce. After providing a general overview\, I will focus on the properties o
 f barycenters on what is known as Wasserstein space. The (quadratic) Wasse
 rstein space is the set of probability measures on a given metric space wh
 ose second-order moment is finite equipped with a distance coming from opt
 imal mass transport.\nAmong the questions that naturally arise are the exi
 stence\, uniqueness\, and features of the Wasserstein barycenter as a prob
 ability measure.\nIn the final part\, I will present recent results obtain
 ed in collaboration with J. Ma on barycenters in Wasserstein space over a 
 metric graph.\n\nhttps://indico.math.cnrs.fr/event/15433/
LOCATION:Auditorium 5 (Toulouse School of Economics)
URL:https://indico.math.cnrs.fr/event/15433/
END:VEVENT
END:VCALENDAR