Arthur packets for p-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples
著者
書誌事項
Arthur packets for p-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples
（Memoirs of the American Mathematical Society, no. 1353）
American Mathematical Society, c2022
- : pbk
大学図書館所蔵 件 / 全4件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
"March 2022, volume 276, number 1353 (first of 7 numbers)"
Includes bibliographical references (p. 209-211) and index
内容説明・目次
内容説明
In this article we propose a geometric description of Arthur packets for padic groups using vanishing cycles of perverse sheaves. Our approach is inspired by the 1992 book by Adams, Barbasch and Vogan on the Langlands classification of admissible representations of real groups and follows the direction indicated by Vogan in his 1993 paper on the Langlands correspondence. Using vanishing cycles, we introduce and study a functor from the category of equivariant perverse sheaves on the moduli space of certain Langlands parameters to local systems on the regular part of the conormal bundle for this variety. In this article we establish the main properties of this functor and show that it plays the role of microlocalization in the work of Adams, Barbasch and Vogan. We use this to define ABV-packets for pure rational forms of p-adic groups and propose a geometric description of the transfer coefficients that appear in Arthur's main local result in the endoscopic classification of representations. This article includes conjectures modelled on Vogan's work, including the prediction that Arthur packets are ABV-packets for p-adic groups. We gather evidence for these conjectures by verifying them in numerous examples.
「Nielsen BookData」 より