Geodesic
Generic Newton points and the Newton poset in Iwahori-double cosets
Forum of Mathematics, Sigma, Tome 8 (2020)

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We consider the Newton stratification on Iwahori-double cosets in the loop group of a reductive group. We describe a group-theoretic condition on the generic Newton point, called cordiality, under which the Newton poset (that is, the index set for non-empty Newton strata) is saturated and Grothendieck’s conjecture on closures of the Newton strata holds. Finally, we give several large classes of Iwahori-double cosets for which this condition is satisfied by studying certain paths in the associated quantum Bruhat graph. 
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     author = {Elizabeth Mili\'cevi\'c and Eva Viehmann},
     title = {Generic {Newton} points and the {Newton} poset in {Iwahori-double} cosets},
     journal = {Forum of Mathematics, Sigma},
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     doi = {10.1017/fms.2020.46},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2020.46/}
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Elizabeth Milićević; Eva Viehmann. Generic Newton points and the Newton poset in Iwahori-double cosets. Forum of Mathematics, Sigma, Tome 8 (2020). doi: 10.1017/fms.2020.46

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