Cari tutti,
mercoledì 7 Settembre alle ore 14:00 presso l'Aula Riunioni del Dipartimento
di Matematica di Pisa, Dr. Martin Huesmann (Univ. Bonn) terrà un seminario
dal titolo:
"Monotonicity preserving transformations for martingale optimal transport
and the Skorokhod embedding problem"
Abstract: There are many transformations mapping martingales into
martingales,e.g. M_t -> M_t^2- <M>_t$. However, looking at solutions to the
martingale optimal transport problem it turns out that
there are only very few transformations that map optimal martingale
couplings into optimal martingale couplings. After a short introduction to
and review of the state of the art of martingale optimal transport we will
give a characterization of all these monotonicity preserving
transformations. In particular, these transformation reveal certain
symmetries between different solutions to the martingale optimal transport
problem. Moreover, we will show that the transport approach to Skorokhod
embedding is a powerful tool to study martingale optimal transport and, in
turn, that the new symmetries for martingale optimal transport disclose
symmetries for solutions to the Skorokhod embedding problem. (based on
joint work with Florian Stebegg)
Saluti,
Marta Leocata