Simple Supercuspidal $L$-Packets of Quasi-Split Classical Groups (Memoirs of the American Mathematical Society)

Oi, Masao

American Mathematical Society（2024/07発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 161 p.
• 言語 ENG
• 商品コード 9781470469566
• DDC分類 512.55

Full Description

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Contents

1. Introduction
2. Simple supercuspidal representations of classical groups
3. Characters of simple supercuspidal representations
4. Arthur's local classification theorem
5. Simple supercuspidal $L$-packet of $Sp_{2n}$
6. Transfer factors at affine generic elements
7. Endoscopic lifting of simple supercuspidal $L$-packets of $SO_{2n}^{\mu }$
8. Simple supercuspidal $L$-packet of $SO_{2n+2}$ and $SO_{2n+2}^{\mathrm {ur}}$
9. Application: Formal degree conjecture for simple supercuspidal $L$-packets for some bad primes
A. Kloosterman sums and Gauss sums
B. Depth of simple supercuspidal representations
C. Spinor twists for $L$-packets of even orthogonal groups