Partner:
Universität Wuppertal Lehrstuhl Stochastik, University Tunis "El Manar"

Project:
Applying in our research Stochastic (partial) differential equations (S(P)Ds) to analyze financial models, we became aware that in the modeling of this field, which mainly exists since 114 years (if counting since the PhD Theses of Louis Bachelier in 1900) we often combine mathematical methods that we learned from modeling problems in mathematical physics since several centuries. On the other side the new challenges coming from problems in financial mathematics, especially after the financial crises in 2008, like e.g. studying S(P)DEs with jumps, provide us new methods which can be used to better understand and model phenomena in mathematical physics, like e.g. critical fluctuations. For these reason the two applicants plan to organize a conference in Tunis in autumn 2015, where stochastic methods used in financial mathematics and mathematical physics are compared . In the continuation of the project "Transformation: Kurzmaßnahmen 2012/13 -Tunisia Kennziffer 57062654" our aim in 2014 is to train 12 selected Tunisian students in exchange with German students , who are preparing their Master or PhD Theses in the field of financial mathematics or mathematical physics, to better understand how the stochastic methods used in their theses appear also in the complementary field. These students will be invited to deliver a talk in the conference we plan for 2015, where international known scientists will be invited worldwide to discuss the described subject. In 2 Winterschools, resp. in Tunis in November 2014 and Wuppertal in December 2014, these selected students have the chance to follow courses where stochastic basic tools with applications in mathematical finance and physical mathematics will be presented. In the main time they will actively contribute in presenting to the other Tunisian and German students what kind of basic mathematical tools they use in their theses and how this tools may appear in the complementary field (e.g. mathematical physics, in case the subject of their theses is financial mathematics and viceversa)

Kooperationspartner:
Prof. Dr. B. Rüdiger (Bergische Universität Wuppertal), Prof. Dr. H. Ouerdiane (University Tunis "El Manar").

Bergische Universität-Tunis El Manar Winter school Wuppertal (Tunisia),November 24-27, 2014.