Summary: CHARACTERISTIC CLASSES OF SINGULAR VARIETIES
APRIL 23-27, BANACH CENTER, WARSAW
Preface. These five lectures aim to explain an algebro-geometric approach to the
study of different notions of Chern classes for singular varieties, with emphasis on
results leading to concrete computations.
The notes are organized so that every page deals with essentially one topic (a device
which I am borrowing from Marvin Minsky's "The Society of Mind"). Every one of
the five lectures consists of five pages.
My main goal in the lectures was not to summarize the history or to give a complete,
detailed treatment of the subject; five lectures would not suffice for this purpose, and
I doubt I would be able to accomplish it in any amount of time anyway. My goal was
simply to provide enough information so that interested listeners could start working
out examples on their own. As these notes are little more than a transcript of my
lectures, they are bound to suffer from the same limitations. In particular, I am
certainly not quoting here all the sources that should be quoted; I offer my apologies
to any author that may feel his or her contribution has been neglected.
The lectures were given in the mini-school with the same title organized by Pro-
fessors Pragacz and Weber at the Banach Center. Jšorg Schšurmann gave a parallel
cycle of lectures at the same mini-school, on the same topic but from a rather differ-