# Slides, notes and miscellany

## Lecture notes

*On the distinction of Harish-Chandra modules and its Ext-analogues*: July 2020, notes for my talk in the RTAG seminar of Weizmann Institute. Obsolete.*Notes on the finiteness theorem of Faltings for abelian varieties*: November 2018, informal notes for my talk in the seminar on Mordell conjecture held at BICMR.*Basic representation theory*: Summer 2017, lecture notes for a mini-course at UCAS. Draft version, full of mistakes.*Langlands program: review and outlook*: February 2015, a talk given at the Taida Institute of Mathematical Sciences.*从 Galois 理论谈起*: December 2014, based on a talk given to the students of Taishan College, Shandong University, Jinan.*Yanqi Lake Lectures on Algebra*Part 1 Part 3 : Notes for a graduate course on algebra, University of Chinese Academy of Sciences, Yanqi Lake campus. The source codes of Part 3 are available on GitHub and Gitee.*素数定理另证*: May 2012, Southwestern Jiaotong University, Emei campus.

## Presentations

*On the Takeda-Wood isomorphism for Hecke algebras and an intertwining relation*: June 2023, Nankai University. Also in the Number Theory Days, HKU.*Localization and higher branching laws for Harish-Chandra modules*: July 2022, Workshop "Representations and Characters: Revisiting the Works of Harish-Chandra and André Weil", NUS. Also in the MSATG Workshop, HUST*Full stable trace formula for \(\widetilde{\mathrm{Sp}}(2n)\)*: May 2021, Zhejiang University and CIRM; October 2021, NUS.*Stable trace formula for metaplectic groups*: August 6, 2020; The 8th Pacific Rim Conference in Mathematics (via Zoom).*New zeta integrals associated with real prehomogeneous vector spaces*: July 23, 2019; The first JNT Biennial. July 26 2019; The Nisyros Conference.*何谓 abc 猜想？*December 24, 2018; Guangxi University, Nanning. January 22, 2019; Northeast Normal University, Changchun.*教学实践：经验、反思与构想*: June 2018, NUIST, Nanjing.*Contragredient representations over function fields*: December 2017, ICCM Annual Meeting, Guangzhou.*Langlands 纲领的近期进展*: September 2017, the Institute Lecture at AMSS-CAS, Beijing; November 2017, HIT, Harbin. Slides Text version published on 《数学所讲座 2017》, Science Publishing (2022), ISBN: 9787030723802.*Survey of basic functions*: August 2017, Conference on Automorphic Forms and Related Topics, Hạ Long.*论某类准齐性向量空间上的 ζ 积分*: September 2016, CMS Annual Meeting, Hohhot.*Remarks on the Gan-Ichino multiplicity formula*: April 2016, Simons Symposium "Geometric Aspects of The Trace Formula", Krün.*On certain zeta integrals*: July 2015, Workshop on Automorphic Forms, Geometry and Representation Theory, Zhejiang University, Hangzhou.*数学写作漫谈*: October 2014, UCAS. Slides Text version Published in*Mathematical Culture*(Chinese) Volume 6, No. 4, November 2015.*Godement-Jacquet theory revisited*: June 2014, BIRS.*论某类非分歧L函数*: December 2013, Institute of Mathematics, AMSS/CAS.*线性代数群上的测度与算术概说*: November 2013, Capital Normal University, Beijing.*亞辛群的穩定跡公式-橢圓部份*: July 2013, the 6th ICCM, National Taiwan University, Taipei.*On the elliptic part of the trace formula for \( \widetilde{\text{Sp}}(2n) \)*: June 2013, the Second PRIMA Congress, Shanghai Jiaotong University.*浅谈叶状结构与算术*: November 2012, on the 60th anniversary of the Institute of Mathematics, AMSS/CAS.*A user's guide to the trace formula for covering groups*: July 2012, PANT (IISER Pune)*Towards a stable trace formula for metaplectic groups and its applications*: June 2011, BIRS.*Transcending endoscopy*: July 2009, TIMS.

## Miscellany

- R. P. Langlands,
*源于青年之梦的若干当代问题*(*Some contemporary problems with origins in the Jugendtraum*). In: 《Langlands 纲领和他的数学世界》 (Langlands' program and his mathematical world), translated by King Fai Lai et al. Published by Higher Education Press (2018), ISBN: 9787040499292. - Some hints to the exercises in А. И. Кострикин,
*Введение в алгебру. Часть 3. Основные структуры*(in Chinese). By-product of a course at UCAS.