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DESCRIPTION: This is joint work with Bob MacPherson. We study the configura
 tion space config(n\,w) of n non-overlapping disks of unit diameter in an i
 nfinite strip of width w. Our main result establishes the rate of growth of
  the Betti numbers for fixed j and w as n → ∞. We identify three regions in
  the (j\,w) plane exhibiting qualitatively different topological behavior. 
 We describe these regions as (1) a “gas” regime where homology is stable\, 
 (2) a “liquid” regime where homology is unstable\, and (3) a “solid” regime
  where homology is trivial. We describe the boundaries between stable\, uns
 table\, and trivial homology for every n ≥ 3. 
DTSTAMP:20190417T155700
DTSTART:20190520T141500
CLASS:PUBLIC
LOCATION:Technische Universität Berlin\n Institut für Mathematik\n Straße d
 es 17. Juni 136\n 10623 Berlin\n Room MA 041 (Ground Floor)
SEQUENCE:0
SUMMARY:Matthew Kahle (Ohio State University): Configuration spaces of hard
  disks in an infinite strip
UID:95690836@/www.mi.fu-berlin.de
URL:https://www.mi.fu-berlin.de/en/facetsofcomplexity/monday/20190520-L-Kah
 le.html
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