Abstract:
In this talk, we define a new class of Ξ-coalescents characterized by a possibly infinite measure over the non negative integers. We call them symmetric coalescents since they are the unique family of exchangeable coalescents satisfying a symmetry property on their coagulation rates: they are invariant under any transformation that consists in moving one element from one block to another without changing the total number of blocks. We will discuss some of their properties and their relation to population genetics. This talk is based in a joint work with Veronica Miro Pina and Arno Siri-Jégousse.
Biography:
Adrian Gonzalez Casanova obtained his PhD in Mathematics in 2015 from the Technical University Berlin. Between 2015-2017 he was a postdoctoral researcher at the Weierstrass Institute in Berlin. In 2017 he was awarded the Ito Prize for work in population genetics related to the Lenski experiment. Since 2017 he is Assistant Professor at the National University of Mexico (UNAM).
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai