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Heisuke Hironaka's coming talk makes me wonder how the state of the work on that theme is. So far, I noticed (but didn't read) these programs: 1, 2. It would be great if someone who listenes Hironaka's talk tells us about it.

Edit: Another recent talk by Hironaka (in Vienna).

edited May 19 2011 at 10:22

asked May 3 2011 at 11:41

Thomas Riepe
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Since I know some of the people involved, I'd rather not comment, except to point out that some talks from about a year and a half ago are publicly available here kurims.kyoto-u.ac.jp/~kenkyubu/proj08-mori. – Donu Arapura May 3 2011 at 19:11

Thanks for this very informative link! – SGP May 3 2011 at 21:18

Deqr Thomas, My view on the question in your comment below: Yes, it would be a bit of a disaster if resolution (and more generally semi-stable reduction) was false in char. p (or in mixed characteristic)! Regards, Matthew – Emerton May 19 2011 at 12:35

quid · Answer 1 · 2011-05-03 12:32:00Z UTC

An (or some) additional very recent references on resolution of singularities in positive characteristic:

There is a recent (expository) article by H. Hauser

On the Problem of Resolution of Singularities in Positive Characteristic (Or: A proof we are still waiting for), Bull. Amer. Math. Soc. 2010, Vol. 47,1; p.1-30.

Available on his webpage, where one can also find some preprints around this subject. For example,

Wild Singularities and Kangaroo Points for the Resolution in Positive Characteristic

State of resolution in positive characteristic?

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