Humanist Discussion Group, Vol. 13, No. 505.
Centre for Computing in the Humanities, King's College London
Date: Thu, 23 Mar 2000 08:19:34 +0000
From: "Osher Doctorow" <firstname.lastname@example.org>
Subject: Cards on the Table
Stephen N. Matsuba of the University of Waterloo replied to my recent
indirect call for listing 20 main open questions in each (academic)
discipline with some interesting points and a list of 7 questions in
literary and linguistic studies (see volume 13, no. 501).
I will match him by listing 7 main open questions in mathematics in the
last 5 years, as I do below. I will list another 7 as soon as somebody
lists 7 others in another or the same field.
1. rare events/large deviations, 2. nonsmooth analysis (broken graphs,
graphs with holes in them, graphs with sharp point turns, etc.), 3.
solutions/approximations of Navier-Stokes equations in
hydrodynamics/aerodynamics, 4. solutions of Schrodinger equation, 5.
solutions of Einstein field equations, 6. topological control theory, 7.
algebra of nonnegative semigroups and non-Hilbert Banach spaces.
By the way, Waterloo University, McGill University, and Montreal/Quebec are
3 of the best universities of Canada, which in my humble opinion puts them
somewhere between Harvard-Yale-Princeton and Oxford-Cambridge-London on the
scale of great universities. I mention this because I have a conjecture
concerning the greatness of universities being positively correlated with
their age with obviously a fair number of exceptions. I may say something
about this later if I can avoid insulting half the researchers in the world.
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