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SUMMARY:Topological Fingerprint for Periodic Crystals
DTSTART:20200303T161500
DTSTAMP:20261001T231508Z
UID:3c525cef85707abe5f42b6e225fa418a3144c911a508b26f894d5df2
CATEGORIES:Conferences - Seminars
DESCRIPTION:Teresa Heiss\nAs the atoms in periodic crystals are arranged p
 eriodically\, such a crystal can be modeled by a periodic point set\, i.e.
  by the union of several translates of a lattice. Two periodic point sets 
 are considered equivalent if there is a rigid motion from one to the other
 . A periodic point set can be represented by a finite cutout s.t. copying 
 this cutout infinitely often in all directions yields the periodic point s
 et. The fact that these cutouts are not unique creates problems when worki
 ng with them. Therefore\, material scientists would like to work with a co
 mplete\, continuous invariant instead. We conjecture that a tool from topo
 logical data analysis\, namely the sequence of k-fold persistence diagrams
  for all positive integers k\, is such a complete\, continuous invariant o
 f periodic crystals.\n\nSpeaker: Teresa Heiss\, IST Austria\n\nMore inform
 ation can be found on the seminar's website: https://www.epfl.ch/labs/hes
 sbellwald-lab/seminar/apptopsem1920/
LOCATION:MA B2 485 https://plan.epfl.ch/?room==MA%20B2%20485
STATUS:CONFIRMED
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