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Oct 2, 2012 at 19:43 comment added Mikhail Bondarko The students are of different levels of knowledge, and some of them know little about de Rham cohomology. Yet I would like them to obtain some impression on the Hodge filtration/decomposition. Thank you for your notes!
Oct 2, 2012 at 16:51 answer added Mike Roth timeline score: 8
Oct 2, 2012 at 13:34 comment added David E Speyer This isn't precisely an answer to your question, but two years ago I taught a course on Hodge theory and I tried to design a lecture for the opening day which presented the key ideas of the course in as elementary a way as possible. You might be interesting in seeing my notes math.lsa.umich.edu/~speyer/632/jan-6.pdf
Oct 2, 2012 at 10:58 answer added Donu Arapura timeline score: 5
Oct 2, 2012 at 10:47 comment added David E Speyer What do the students know? If they know manifolds and de Rham cohomology, then the statement of Hodge decomposition can be reached in an hour. If not, then you're going to have to think very carefully about what you are telling them it is a decomposition of.
Oct 2, 2012 at 6:32 answer added Matheus timeline score: 2
Oct 2, 2012 at 5:04 history asked Mikhail Bondarko CC BY-SA 3.0