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Course description

In this course of lectures I intend to describe Hodge theory for Thom-Mather stratified varieties (``pseudomanifolds''). The main novelty will be the treatment of the generalized inverse of tex2html_wrap_inline15 , for appropriate degenerate metrics, and the corresponding Hodge decomposition. This leads to an identification of Hodge cohomology with tex2html_wrap_inline17 cohomology (`Hodge theorem') and hence duality with intersection homology (`de Rham theorem'). I intend to approach the subject from the `analytic' end and progress toward the topological.

Richard B. Melrose
Mon Feb 3 22:24:32 EST 1997