8,986 reputation
11110194
bio website gilkalai.wordpress.com
location Jerusalem
age 59
visits member for 5 years
seen 1 hour ago
Professor of Mathematics at the Hebrew University of Jerusalem and at Yale University

Apr
28
asked Grassmann-Plücker relations for permanents
Apr
28
comment A question about pairs of lines in 3D projective space
Thanks, David. Yes this is correct. But we can identify the quaternions with 2 dimensional v.s. over the complex so we get 8 choose 4. and then we can save a bit by intersecting with a generic hyperplane and get 7 choose 3. I wonder if Amitsur's theorem is relevant.
Apr
28
comment A question about pairs of lines in 3D projective space
The following MO question is of some relevance mathoverflow.net/questions/65421/…
Apr
28
revised Experimental Mathematics
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Apr
28
asked A question about pairs of lines in 3D projective space
Apr
24
revised Why was John Nash's 1950 Game Theory paper such a big deal?
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Apr
24
comment Why was John Nash's 1950 Game Theory paper such a big deal?
Joël, Of course there are also issues with the notion of value for zero-sum 2-person games, like the need to have mixed strategies which is problematic in various cases (and various others issues). Once you apply Von Neumann and Morgenstern utility theory on mixed outcomes you often loose the zero-sum property. But I agree that the notion of a value of zero-sum games is also very important.
Apr
23
comment Why was John Nash's 1950 Game Theory paper such a big deal?
Dear Joël, I agree. To a large extent Nash equilibrium is a miracle concept leading to (almost) all the problems in applied game theory. It often represents genuine problems and shortcomings not only of economics theory but also of economics reality. Certainly this is something we, as mathematicians can celebrate and be enthusiastic about!
Apr
23
answered Why was John Nash's 1950 Game Theory paper such a big deal?
Apr
21
awarded  Famous Question
Apr
14
awarded  Good Answer
Apr
14
revised What have simplicial complexes ever done for graph theory?
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Apr
8
revised What have simplicial complexes ever done for graph theory?
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Apr
7
revised What is the amplituhedron?
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Apr
7
awarded  Notable Question
Mar
28
comment First PhD in pure math and the second PhD in applied math
I am aware of several such cases. (Prhaps in Israel and Europe there is more flexibility.)
Mar
28
revised What have simplicial complexes ever done for graph theory?
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Mar
28
revised What have simplicial complexes ever done for graph theory?
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Mar
27
awarded  Nice Answer
Mar
27
revised What have simplicial complexes ever done for graph theory?
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