Timeline for What are other applications of difference equations in other branches of mathematics ?
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| Dec 28, 2011 at 15:01 | comment | added | Thomas Nevins | To expand on just one of the many directions implicit in Andrei's answer, Cherednik's proof of the Macdonald constant term conjecture relies fundamentally on double affine Hecke algebras (DAHAs). To quote Opdam's beautiful Math Review of Cherednik's 1995 Annals paper, "It is the great contribution of Cherednik that he perceived what the constant term conjecture has been trying to convey to us all the time, which is the existence of the double affine Hecke algebra." DAHAs are, <i>very</i> roughly, algebras of (twisted) difference operators (with an additional Weyl group built in). | |
| Dec 28, 2011 at 8:20 | history | made wiki | Post Made Community Wiki by S. Carnahan♦ | ||
| Dec 26, 2011 at 23:40 | history | answered | Andrei MF | CC BY-SA 3.0 |