Narratives and Traces

Organizational Learning Remembered – Traces of Change in Narratives, Documents and Material Artifacts

Events, narratives and memory

Whether non-human animals can have episodic memories remains the subject of extensive debate. A number of prominent memory researchers defend the view that animals do not have the same kind of episodic memory as humans do, whereas others argue that some animals have episodic-like memory—i.e., they can remember what, where and when an event happened. Defining what constitutes episodic memory has...

Traces and Quasi-traces on the Boutet De Monvel Algebra

We construct an analogue of Kontsevich and Vishik’s canonical trace for a class of pseudodifferential boundary value problems in Boutet de Monvel’s calculus on compact manifolds with boundary. For an operator A in the calculus (of class zero), and an auxiliary operator B, formed of the Dirichlet realization of a strongly elliptic second-order differential operator and an elliptic operator on th...

Lê Modules and Traces

We show how some of our recent results clarify the relationship between the Lê numbers and the cohomology of the Milnor fiber of a non-isolated hypersurface singularity. The Lê numbers are actually the ranks of the free Abelian groups – the Lê modules – appearing in a complex whose cohomology is that of the Milnor fiber. Moreover, the Milnor monodromy acts on the Lê module complex, and we descr...

Beyond Traces and Independence

The formal methods, fault-tolerance, and cyber-security research communities explore models that differ from each other. The differences frustrate efforts at cross-community collaboration. Moreover, ignorance about these differences means the status quo is likely to persist. This paper discusses two of the key differences: (i) the trace-based semantic foundation for formal methods and (ii) the ...