Mon, Mar 22 2021 to Mon, Mar 22 2021
Motivated by questions from computational biology, we study a combinatorial classification of finite metric spaces by means of a new polyhedral invariant introduced by Vershik in 2010, known as the metric space's "fundamental polytopes''. These originate from the theory of optimal transport, in which they are often named after Wasserstein or Kantorovich-Rubinstein, and have recently found applications in a host of different contexts, from algebraic statistics to tropical geometry to the theory of reaction networks. Nevertheless, the most basic questions on their structure remain unanswered to date.
The session aims to illustrate and explain the basics of such polytopes.
Date: March 22, 2021
Time: 4:00 pm (PKT)
Zoom Meeting ID: 973 7985 5766; Passcode: 146928
The lecture will be conducted by Professor Emanuele Delucchi from the University of Applied Arts and Sciences of Southern Switzerland and the University of Pisa.