Integral chains with coefficients in a complete normed commutative group

Abstract: As a service to the community, in joint work with Christian Scharrer, we provide—for Euclidean space—a basic treatment of locally rectifiable chains and of the complex of locally integral chains. In this setting, we may beneficially develop the idea of a complete normed commutative group bundle over the Grassmann manifold whose fibre is the coefficient group of the chains. Our exposition also sheds new light on some algebraic aspects of the theory. Finally, we indicate an extension to a geometric approach to locally flat chains centring on locally rectifiable chains rather than completion procedures.

classical analysis and ODEsdifferential geometryfunctional analysis

Audience: researchers in the topic

( paper )

Comments: The virtual whiteboard https://miro.com/app/board/uXjVOpucY68=/ will be employed; its password protection will be removed for the duration of the presentation. There will be no recording for this talk.

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Online Seminar "Geometric Analysis"

Series comments: We discuss recent trends related to geometric analysis in a broad sense. The general idea is to solve geometric problems by means of advanced tools in analysis. We will include a wide range of topics such as geometric flows, curvature functionals, discrete differential geometry, and numerical simulation.

Registration and links to videos available at blatt.sbg.ac.at/onlineseminar.php

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