Propagation of free boundaries in heterogeneous materials
Abstract
This talk will review recent progress in understanding the effective
behavior of free boundaries in heterogeneous media. Though motivated
by the pinning of martensitic phase boundaries, we shall explain
connections to other problems. This talk is based on joint work with
Patrick Dondl.
14:15
Contract theory in Continuous-time
Abstract
This talk will give a survey of results in continuous-time
contract theory, and discuss open problems and plans for further
research on this topic.
The general question is how a ``principal" (a company, investors ...)
should design a payoff for compensating an ``agent" (an executive, a
portfolio manager, ...) in order to induce the best possible
performance.
The following frameworks are standard in contract theory:
(i) the principal and the agent have same, full information;
(ii) the principal cannot monitor agent's actions
(iii) the principal does not know agent's type We will discuss all
three of these problems.
The mathematical tools used are those of stochastic control theory,
stochastic maximum principle and Forward Backward Stochastic
Differential Equations.
15:00