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Mathematics Seminar Friday, Feb 15

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Title: Upper bounds for the perimeter plane of convex bodies
Speaker: Dr. Alexey Glazyrin
Date: Friday, February 15
Place: LHSB 2.310
Time: 2:00PM

ABSTRACT
It is well known that if C and D are two plane convex bodies such that C is inside D, then the perimeter of C is not greater than the perimeter of D. In other words, the maximum perimeter of a convex body lying inside a given convex body D is equal to the perimeter of D. In this talk we are interested in answering the following more general question:
For a given natural k, what is the maximum total perimeter of k convex bodies with disjoint interiors lying inside a given convex body D?
We answer this question in the case when D is a square or an arbitrary triangle. A weaker bound is obtained for general plane convex bodies.

Expires

8/16/2013

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Event Date

2/15/2013 2:00 PM

Event Location

LHSB 2.310

Event Ending

 

Approve

Yes

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Created at 2/14/2013 11:10 AM by Celedonio Gracia
Last modified at 2/25/2013 9:37 AM by Celedonio Gracia