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I guess that every International Congress of Mathematics (Mathematicians) brings up some unresolved issues of various types but that also that at least some (if not all) ICM´s present some new unsolved problems (conjectures).

Is there some comprehensive monograph (or handbook) about almost all the open problems (conjectures) mentioned (and proposed) at all the ICM´s?

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    $\begingroup$ No, there is no such a monograph. $\endgroup$ – Alexandre Eremenko Mar 11 at 16:52
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    $\begingroup$ The problem with this is that probably 95% (maybe over 99%) of the conjectures that might be made (unless restricted to those made in a Plenary address) are probably extremely specialized and technical, and would be understandable to only a very few people. For instance, I could easily rattle off a bunch of conjectures in certain esoteric areas of classical real analysis I know something about that would likely have no meaning or interest to you. $\endgroup$ – Dave L Renfro Mar 12 at 7:22

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