BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Matthew Kahle (Ohio State University - USA) DTSTART:20211210T160000Z DTEND:20211210T170000Z DTSTAMP:20260423T041525Z UID:GEOTOP-A/10 DESCRIPTION:Title: Configurations spaces of particles: homological solid\, liquid\, and gas \nby Matthew Kahle (Ohio State University - USA) as part of GEOTOP-A s eminar\n\n\nAbstract\nConfiguration spaces of points in the plane are well studied and the topology of such spaces is well understood. But what if y ou replace points by particles with some positive thickness\, and put them in a container with boundaries? It seems like not much is known. To mathe maticians\, this is a natural generalization of the configuration space 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 u nderstand topological underpinnings of such transitions.\n\nWe have just s tarted to understand the homology of these configuration spaces\, and base d on our results so far we suggest working definitions of "homological sol id\, liquid\, and gas". This is joint work with a number of collaborators\ , including Hannah Alpert\, Ulrich Bauer\, Robert MacPherson\, and Kelly S pendlove.\n LOCATION:https://researchseminars.org/talk/GEOTOP-A/10/ END:VEVENT END:VCALENDAR