[cmath] CONFÉRENCE PRIX CRM-FIELDS-PIMS 2019
Centre de recherches mathematiques
crm at crm.umontreal.ca
Mon Sep 16 15:35:23 EDT 2019
CONFÉRENCE PRIX CRM-FIELDS-PIMS 2019
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CONFERENCIER(S) / SPEAKER(S) :
Nassif Ghoussoub (UBC)
TITRE / TITLE :
"From Monge optimal transports to optimal Skorokhod embeddings"
LIEU / PLACE :
CRM, UdeM, Pav. André-Aisenstadt, 2920, ch. de la Tour, salle 1355
DATE :
Le vendredi 27 septembre 2019 / Friday, September 27, 2019
HEURE / TIME :
16 h / 4:00 p.m.
RESUME / ABSTRACT :
The optimal transportation problem, which originated in the work of Gaspard Monge in 1781, provides a fundamental and quantitave way to measure the distance between probability distributions. It has led to many successful applications in PDEs, Geometry, Statistics and Probability Theory. Recently, and motivated by problems in Financial Mathematics, variations on this problem were introduced by requiring the transport plans to abide by certain "fairness rules," such as following martingale paths. One then specifies a stochastic state process and a costing procedure, and minimize the expected cost over stopping times with a given state distribution. Recent work has uncovered deep connections between this type of constrained optimal transportation problems, the celebrated Skorokhod embeddings of probability distributions in Brownian motion, and Hamilton-Jacobi variational inequalities.
Le café sera servi à 15h30 et une réception suivra la conférence au Salon Maurice-L’Abbé (salle 6245).
Coffee will be served before the conference and a reception will follow at Salon Maurice-L’Abbé (Room 6245).
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http://www.crm.math.ca/prix/prixCRMFieldsPIMS/prixCFP19_fr.shtml <http://www.crm.math.ca/prix/prixCRMFieldsPIMS/prixCFP19_fr.shtml>
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