The P = W conjecture for GLn

• 成果类型: Article
• 署名作者: Maulik, Davesh; Shen, Junliang
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2024.200.2.3
• 发表日期: 2024
• 页码: 529-556
• 关键词: hitchin fibration; support theorem; langlands duality; cohomology ring; MODULI; bundles; REPRESENTATIONS; sheaves

摘要

We prove the P = W conjecture for GL(n) for all ranks n and curves of arbitrary genus g >= 2. The proof combines a strong perversity result on tautological classes with the curious Hard Lefschetz theorem of Mellit. For the perversity statement, we apply the vanishing cycles constructions in our earlier work to global Springer theory in the sense of Yun, and prove a parabolic support theorem.