BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Jaime Santos Rodríguez (Universidad Autónoma de Madrid)
DTSTART:20240228T160000Z
DTEND:20240228T170000Z
DTSTAMP:20260423T052755Z
UID:VSGS/85
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/85/">Sy
 mmetries of Wasserstein spaces</a>\nby Jaime Santos Rodríguez (Universida
 d Autónoma de Madrid) as part of Virtual seminar on geometry with symmetr
 ies\n\n\nAbstract\nLet $\\mathbb{P}_p(X)$ be the space of probability meas
 ures with finite $p-$moments on a metric space $(X\,d).$ Using solutions t
 o the optimal transport problem of Monge-Kantorovich it is possible to equ
 ip $\\mathbb{P}_p(X)$ with a distance $\\mathbb{W}_p$ known as the $L^p-$W
 asserstein distance. \n\nWith this the resulting metric space $(\\mathbb{P
 }_p(X)\, \\mathbb{W}_p)$ will share many geometrical properties with the b
 ase space $(X\,d)$ such as: compactness\, existence of geodesics\, and eve
 n non-negative sectional curvature bounds (when $p=2$).\n\nTherefore\, a n
 atural question is whether it is possible for $(\\mathbb{P}_p(X)\, \\mathb
 b{W}_p)$ to be more symmetric than the original space $(X\,d).$ In this ta
 lk we will first introduce the optimal transport problem\, Wasserstein spa
 ces\, and some of its properties. Once this is done we will discuss some o
 f the results regarding isometries in these spaces.\n
LOCATION:https://researchseminars.org/talk/VSGS/85/
END:VEVENT
END:VCALENDAR