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Aspects of differential cohomology

Reimagining the Foundations of Algebraic Topology April 07, 2014 - April 11, 2014

April 09, 2014 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Thomas Nikolaus (Westfälische Wilhelms-Universität Münster)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC



A differential cohomology theory is differential geometric refinement of a generalized cohomology theory (in the sense of algebraic topology). Examples naturally arise in physics or in the study of secondary invariants (e.g. Chern-Simons invariants). We discuss this notion from a higher categorical point of view. This leads to a natural decomposition of any differential cohomology theory which we illustrate with many examples. Moreover we show how to obtain a good integration theory and a notion of twisted differential cohomology and discuss some aspects and examples.

20460?type=thumb Nikolaus.Notes 86.3 KB application/pdf Download
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