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DTSTART:20180325T030000
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DTSTAMP:20200815T171923Z
UID:5914348f6b66d514060999@ist.ac.at
DTSTART:20180208T160000
DTEND:20180208T180000
DESCRIPTION:Speaker: Arseniy Akopyan\nhosted by Jan Maas\nAbstract: Gromov
and Memarian (2003--2011) have established the waist inequality asserting
that for any continuous map f from the sphere S^n to R^n-k there exists a
fiber f^-1(y) such that every its t-neighborhood has measure at least the
measure of the t-neighborhood of an equatorial subsphere S^k of S^n.Going
to the limit we may say that the (n-k)-volume of the fiberf^-1(y) is at le
ast that of the standard sphere S^k. We extend this limit statement to the
exact bounds for balls in spaces of constant curvature\, tori\, parallele
pipeds\, projective spaces and other metric spaces.By the volume of preima
ges for a non-regular map f we mean its lower Minkowski content\, some new
properties of which will be also presented in the talk.(based on the join
t work with Roman Karasev and Alfredo Hubard)
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
T Austria
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Waists of balls in different spaces
URL:https://talks-calendar.app.ist.ac.at/events/1077
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