Tarski's plank problem and its variants

Type: 
PhD Student Seminar
Audience: 
Open to the Public
Wednesday, January 14, 2015 - 2:00pm
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Date: 
Wednesday, January 14, 2015 - 2:00pm

Abstract: If we cover a convex body K with planks (strips of space  between two parallel  yperplanes), does it follow that the sum of the  widths of the planks is at least the minimal width of K? This question  was posed by Alfred Tarski in 1932, and answered in the affirmative by Bang in 1951. It leads to numerous related questions. I will present a  few such results and one or two proofs in the talk. However, many  related questions are still unsolved.