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SUMMARY:Configurations spaces of particles: homological solid\, liquid\, a
 nd gas
DTSTART:20200218T161500
DTSTAMP:20260502T005331Z
UID:2d369df6b31904728819499838e1ded0e8aa7abdd88c01cb7d1fdcaa
CATEGORIES:Conferences - Seminars
DESCRIPTION:Matthew Kahle\nConfiguration spaces of points in the plane are
  well studied and the topology of such spaces is well understood. But what
  if you replace points by particles with some positive thickness\, and put
  them in a container with boundaries? It seems like not much is known. To 
 mathematicians\, this is a natural generalization of the configuration spa
 ce of points\, perhaps interesting for its own sake. But is also important
  from the point of view of physics––physicists might call such a space
  the phase space or energy landscape for a hard-spheres system. Since hard
 -spheres systems are observed experimentally to undergo phase transitions 
 (analogous to water changing into ice)\, it would be quite interesting to 
 understand topological underpinnings of such transitions.\nWe have just st
 arted to understand the homology of these configuration spaces\, and based
  on our results so far we suggest working definitions of “homological so
 lid\, liquid\, and gas”. This is joint work with a number of collaborato
 rs\, including Hannah Alpert\, Ulrich Bauer\, Kelly Spendlove\, and Robert
  MacPherson.\n\nSpeaker: Matthew Kahle\, Ohio State University\n\nMore inf
 ormation can be found on the seminar's webpage: https://www.epfl.ch/labs/
 hessbellwald-lab/seminar/apptopsem1920/
LOCATION:MA B2 485 https://plan.epfl.ch/?room==MA%20B2%20485
STATUS:CONFIRMED
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