Timeline for Proving Positivity for Schubert Calculus
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 11, 2018 at 23:29 | comment | added | Sam Hopkins | Mondrian tableaux: homepages.math.uic.edu/~coskun/onceagain.pdf | |
| Sep 11, 2018 at 18:38 | comment | added | S. carmeli | As far as I remember there is also a very beautiful proof based on something called "Mondrean Diagrams" that give an actual algorithm to expand the product in a way that only involve positive numbers without cancelations at all. It is also very geometric. Unfortunately I can not find the refference I once came across. | |
| Sep 11, 2018 at 17:23 | history | edited | Allen Knutson | CC BY-SA 4.0 |
Added Belkale
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| Sep 11, 2018 at 17:22 | comment | added | Allen Knutson | Okay, sure. That's Schur-Weyl duality applied to #3. I don't know how to apply understanding of $S_n$ (or other finite group) representation theory to retrodict the L-R combinatorics, in anything analogous to the theory of crystals on the $GL(k)$ side (but would be very interested to hear). | |
| Sep 11, 2018 at 7:37 | vote | accept | Pierre Dubois | ||
| Sep 11, 2018 at 1:57 | comment | added | Sam Hopkins | It might also be worth recording the symmetric group representation theoretic meaning of the LR coefficients. | |
| Sep 11, 2018 at 1:53 | history | answered | Allen Knutson | CC BY-SA 4.0 |