This is a collection of lecture notes from the minicourses in the December 2018 Langlands Workshop: Endoscopy and Beyond. The volume combines seven introductory chapters on trace formulas, local Arthur packets, and beyond endoscopy. It aims to introduce the endoscopy classification via a basic example of the trace formula for SL(2), explore the more refined questions on the structure of Arthur packets, and look beyond endoscopy following the suggestions of Langlands, Braverman-Kazhdan, Ngo, and Altu?. The book is a helpful reference for undergraduates, postgraduates, and researchers.
Contents:
- The Invariant Trace Formula for SL(2) (Abhishek Parab)
- Lectures on the Stable Trace Formula with Emphasis on SL2 (Tasho Kaletha)
- Mœglin's Explicit Construction of Local A-packets (Hiraku Atobe)
- Construction of p-adic Adams-Barbasch-Vogan Packets (Hiraku Atobe)
- Orbital Integrals and Normalizations of Measures (with an Appendix by Matthew Koster) (Julia Gordon)
- Beyond Endoscopy and the Trace Formula (S Ali Altu?)
- An Introduction to the Proposal of Braverman and Kazhdan (Zhilin Luo)
Readership: Advanced undergraduate students, graduate students and researchers interested in the Langlands program.
