2015
Nov
24

# Dynamics & probability: Yaar Salomon (Stonybrook) "The Danzer problem and a solution to a related problem of Gowers"

2:00pm to 3:00pm

## Location:

Manchester building, Hebrew University of Jerusalem, (Room 209)

The Danzer problem and a solution to a related problem of Gowers

Is there a point set Y in R^d, and C>0, such that every convex

set of volume 1 contains at least one point of Y and at most C? This

discrete geometry problem was posed by Gowers in 2000, and it is a special

case of an open problem posed by Danzer in 1965. I will present two proofs

that answers Gowers' question with a NO. The first approach is dynamical;

we introduce a dynamical system and classify its minimal subsystems. This

Is there a point set Y in R^d, and C>0, such that every convex

set of volume 1 contains at least one point of Y and at most C? This

discrete geometry problem was posed by Gowers in 2000, and it is a special

case of an open problem posed by Danzer in 1965. I will present two proofs

that answers Gowers' question with a NO. The first approach is dynamical;

we introduce a dynamical system and classify its minimal subsystems. This