Title：Poincaré-Wirtinger and linear isoperimetric inequalities on aclass of indecomposable integral currents and 

       the Plateau problem incodimension 1 homology classes

Speaker：DE PAUW Thierry （教授,  巴黎七大）

Time：2018年3月1日   下午 16:00--17:00

Room：东区管理科研楼  数学科学学院1518室

Abstract：If X is a smooth compact Riemannian manifold then each homology class with integer coefficients admits a mass minimizing integral current representative. 

This result, due to H. Federer and W.H. Fleming, relies on compactness and the isoperimetric inequality. In this talk I extend this result to a class of singular spaces X. 

These include semialgebraic sets,  sub analytic sets, and more generally  sets definable in  any o-minimal structure.  Simple examples of cusps show that the Euclidean

isoperimetric inequality does  not hold  in this generality  and we must  settle  for a weaker  version.  This leads to developing a theory of functions of bounded variation 

defined on integral currents.