Simple Supercuspidal $L$-Packets of Quasi-Split Classical Groups

Masao Oi, Kyoto University, Japan.

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