On behalf of the Scientific Committee of the de Finetti Risk Seminars, we are glad to invite you to participate at the following Lecture

TITLE: Probability measure valued polynomial processes

Christa Cuchiero University of Vienna

ABSTRACT: We introduce polynomial diffusions taking values in the space of probability mea- sures on a locally compact Polish space, generalizing the well-known Fleming-Viot process. We provide a representation of the corresponding extended generators, and prove well- posedness of the associated martingale problems. In particular, we obtain uniqueness by establishing a formula for the conditional moments of the solution, which in the finite-dimensional case reduces to a matrix exponential. The talk is based on joint work with Martin Larsson and Sara Svaluto Ferro.

LOCATION: The seminar will be held on Thursday, December 21, at 17.00, Aula di rappresentanza, Dept. of Mathematics, Milano University, Via C. Saldini 50, Milano.

Scientific Committee

Prof. Simone Cerreia-Voglio (Univ. Bocconi) Prof. Marco Frittelli (Univ. degli Studi di Milano) Prof. Fabio Maccheroni (Univ. Bocconi) Prof. Massimo Marinacci (Univ. Bocconi) Prof. Emanuela Rosazza Gianin (Univ. Milano-Bicocca) Dott. Marco Maggis (Univ. degli Studi di Milano)

**************************************************** Emanuela Rosazza Gianin Dipartimento di Statistica e Metodi Quantitativi Università di Milano Bicocca Edificio U7 – 4° Piano Via Bicocca degli Arcimboldi, 8 20126 Milano

Tel. 02 64483208 Fax. 02 64483105 e-mail: emanuela.rosazza1@unimib.it

*****************************************************