[Facets-of-complexity] Invitation to Monday Lecture - October 21st 2019

[Ita Brunke <i.brunke@inf.fu-berlin.de>]

You are cordially invited to our next Monday Lecture on October 21st at 14:15 h at FU Berlin.

Location:

Room 005 - Ground Floor
Freie Universität Berlin
Takustr. 9
14195 Berlin

Time: Monday, October 21st - 14:15 h

Lecture: Otfried Cheong (Universität Bayreuth)

Title: Convex Covers and Translation Covers

Abstract:

In 1914, Lebesgue asked for a convex set of smallest possible area that can contain a congruent copy of every set of diameter one. The same question can be asked for other families T of planar shapes: What is the convex set of smallest possible area that contains a congruent copy of every element of T? Such a set is then called a convex cover for T, and we will see what smallest-area convex covers for some families of triangles look like. A translation cover for a family T of planar shapes is defined similarly: Z is a translation cover for T if every element of T can be translated into Z. Kakeya's celebrated needle problem, first posed in 1917, turns out to be a question about a smallest-area translation cover. We will see that the generalization of Kakeya's problem to other shapes is also a translation cover problem.

Coffee & Tea Break:
Room 134

Exceptionally, this time there will only be the Lecture, no Colloquium.

Nevertheless, there will be Coffee and Biscuits after the talk!