Seminars_raw

Waist of balls in different spaces

2019-01-24 00:00

Speaker: Dr. Arseniy Akopyan

unit:

Time: 2019-01-25 16:00-17:00

Venue: Room 108, Center for Applied Mathematics

starttime: 2019-01-25 16:00-17:00

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Theme:
Waist of balls in different spaces
Time:
2019-01-25 16:00-17:00
Venue:
Room 108, Center for Applied Mathematics
Speaker:
Dr. Arseniy Akopyan

Abstract

    Gromov and Memarian (2003--2011) have established the waist inequality asserting that for any continuous map f from the sphere    to  there exists a fiber  such that every its t-neighborhood has measure at least the measure of the t-neighborhood of an equatorial subsphere  of .
    Going to the limit we may say that the (n-k)-volume of the fiber  is at least that of the standard sphere . We extend this limit statement to the exact bounds for balls in spaces of constant curvature, tori, parallelepipeds, projective spaces and other metric spaces.
    This talk is based on a joint work with Romans Karasev and Alfredo Hubard.


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