Dear all,

The Department of Economics and Finance at LUISS University in Rome (*https://economiaefinanza.luiss.it https://economiaefinanza.luiss.it/*) is pleased to announce the following seminar:

*Speaker*: Dario Spanò, Warwick University *Title*: *Dualities and Intertwinings in the Two-Parameter Poisson-Dirichlet Diffusion*

*When*: October 3rd, 12:00 *Where*: Viale Romania, 32 00197 Rome *Meeting room*: TD2 AB

*Abstract*: Mathematical population genetics has been an incredible culture broth for the recent developments of the modern theory of stochastic duality. Duality in genetics clarifies the intrinsic link between forward-in-time dynamics of a population’s allele frequencies evolution and backward-in-time dynamics of the same population’s ancestry. I will show that a duality with very much the same genetic ancestral structure can be established for an infinite-dimensional diffusion – the Two-parameter Poisson-Dirichlet diffusion – helping significantly the tractability of such processes for simulation and inference.

*Webpage*: https://economiaefinanza.luiss.it/research-seminar/dualities-and-intertwinin...

*Should you be interested, please kindly send me an email.*

Best wishes, Alessia Caponera