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Cordial elements and dimensions of affine Deligne-Lusztig varieties

期刊: FORUM OF MATHEMATICS PI, 2021; 9 ()

The affine Deligne-Lusztig variety X-w (b) in the affine flag variety of a reductive group G depends on two parameters: the sigma-conjugacy class [b] ......

Holomorphic anomaly equation for (P-2, E) and the Nekrasov-Shatashvili limit of local P-2

期刊: FORUM OF MATHEMATICS PI, 2021; 9 ()

We prove a higher genus version of the genus 0 local-relative correspondence of van Garrel-Graber-Ruddat: for (X, D) a pair with X a smooth projective......

$p$-ADIC $L$-FUNCTIONS FOR UNITARY GROUPS

期刊: FORUM OF MATHEMATICS PI, 2020; 8 ()

This paper completes the construction of $p$-adic $L$-functions for unitary groups. More precisely, in Harris, Li and Skinner ['$p$-adic $L$-functions......

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