Department of Mathematics J. Conway Spirited Seminar Series| Phylogenetics and Polytopes

Attend the seminar on 'Phylogenetics and Polytopes' organised by the Department of Mathematics at Syed Babar Ali School of Science and Engineering.

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.

Add to Calendar 2021-03-22 16:00:00 2021-03-22 17:00:00 Department of Mathematics J. Conway Spirited Seminar Series| Phylogenetics and Polytopes 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. LUMS Drupal 8 adil.sarwar@lums.edu.pk Asia/Karachi public