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SUMMARY:Magnetic Brunn-Minkowski inequalities
DTSTART:20260518T120000Z
DTEND:20260518T130000Z
DTSTAMP:20260502T141000Z
UID:indico-event-15939@indico.math.cnrs.fr
DESCRIPTION:Speakers: Rotem Assouline (IMJ-PRG)\n\nIn this talk\, we will 
 consider Minkowski averages on Riemannian manifolds where the interpolatio
 n is by action-minimizing magnetic geodesics with respect to a given magne
 tic potential. We will see that Brunn-Minkowski inequalities for this oper
 ation characterize lower bounds on a magnetic Ricci curvature. Examples in
 clude natural magnetic fields on K\\"ahler and Sasakian manifolds\, the fo
 rmer including as a special case a horocyclic Brunn-Minkowski inequality o
 n complex hyperbolic space. We also observe that closed magnetic potential
 s from different cohomology classes may give rise to different geodesic Mi
 nkowski averages.\n\nhttps://indico.math.cnrs.fr/event/15939/
LOCATION:Amphi Schwartz
URL:https://indico.math.cnrs.fr/event/15939/
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