Geometric Structures - Matthew Kahle - June 8 - 4:15 pm (Rome Time)

[Miruna - Stefana Sorea]

Dear All, 

This is to announce the next seminar from the series "Geometric
Structures".

Speaker:  MATTHEW KAHLE [1](The Ohio State Universit [1]y [1]) [1] 

Title:       Configurations spaces of particles: homological solid,
liquid, and gas 

Time:      June 8, 2021, 4:15 pm (Rome Time)  

Venue:    from remote only, on zoom at this link 
https://sissa-it.zoom.us/j/85675591787?pwd=TUo2VXpmcEhOU1paRzBXUWp2MU1odz09
[2]
Passcode: geometry

Abstract:  

Configuration 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
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 understand topological underpinnings of
such transitions. 

We have just started to understand the homology of these configuration
spaces, and based on our results so far we suggest working definitions
of "homological solid, liquid, and gas". This is joint work with a
number of collaborators, including Hannah Alpert, Ulrich Bauer, Kelly
Spendlove, and Robert MacPherson. 

More information can be found here:
https://sites.google.com/view/geometric-structures/ [3] 

Everyone is welcome! 
-- 
_Miruna-Stefana Sorea_
_Postdoctoral Researcher_
_Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste,
Italy_
_HTTPS://SITES.GOOGLE.COM/VIEW/MIRUNASTEFANASOREA/_ 

Links:
------
[1]
https://www.google.com/url?q=https%3A%2F%2Fmath.osu.edu%2Fpeople%2Fkahle.70&sa=D&sntz=1&usg=AFQjCNGkec45oQaiMosQ7HBbdjccJMikpA
[2]
https://sissa-it.zoom.us/j/85675591787?pwd=TUo2VXpmcEhOU1paRzBXUWp2MU1odz09
[3] https://sites.google.com/view/geometric-structures/