Math.Koll. am 8.11.2006/Prof. Teichmann

Thu Nov 2 17:10:12 CET 2006

Mathematisches Kolloquium

EINLADUNG

zu einem

VORTRAG

von

Prof. Josef Teichmann (Technische Universitaet Wien)

mit dem Thema:

''Characterization of optimal Transport Plans for the
Monge-Kantorovich-Problem''

Abstract:
We prove that $c$-cyclically monotone transport plans $\pi$ optimize the
Monge-Kantorovich transportation problem under an additional measurability
condition. This measurability condition is always satisfied for finitely
valued, lower semi-continuous cost functions. This means that optimality of
a transport plan is characterized by the shape of its support in the most
general setting. This result was known in the literature under
$L^1$-assumptions.

Authors: joint work with Walter Schachermayer

Zeit: Mittwoch, 8. November 2006, 15.45 Uhr (Kaffeejause), anschlieszend
16.15 Uhr Vortrag

Ort: Fakultaet fuer Mathematik der Universitaet Wien, Nordbergstr. 15,
Seminarraum C 2.09

Harald Rindler