SMS scnews item created by Catherine Meister at Fri 2 May 2025 1005
Type: Seminar
Distribution: World
Expiry: 16 May 2025
Calendar1: 8 May 2025 1300-1400
CalLoc1: SMRI Seminar Room (Macleay Building A12 Room 301)
CalTitle1: SMRI Seminar: Faustin Adiceam 'Around the Danzer Problem and the construction of dense forests
Auth: cmeister@159-196-153-133.9fc499.syd.nbn.aussiebb.net (cmei0631) in SMS-SAML
SMRI Seminar: Adiceam -- SMRI Seminar: Around the Danzer Problem and the construction of dense forests
SMRI Seminar
Speaker: Faustin Adiceam, University Paris-Est Creteil
Abstract: A 1965 problem due to Danzer asks whether there exists a set with finite
density in Euclidean space (i.e. <<<not containing too many points>>>) intersecting
any convex body of volume one. A suitable weakening of the volume constraint leads one
to the (much more recent) problem of constructing dense forests. Progress towards
these problems have so far involved a very wide range of areas in mathematics (including
number theory, ergodic theory, geometry and harmonic analysis). After surveying some of
the known results related to the Danzer Problem and to the construction of dense
forests, the talk will present some new constructions.