Beijing International Center for Mathematical Research, Peking University
Office
81-102
Email
yiwen.ding[at]bicmr[dot]pku[dot]edu[dot]cn
Teaching
Number Theory I (note), Number theory II (note dated 1/9/2022)
Research Interest
Number theory and representation theory, especially the p-adic Langlands programme and its arithmetic applications.
Publications and preprints
"p-adic Hodge parameters in the crystabelline representations of GL3(Qp)", preprint, 30 pages, (2024), arxiv:2404.16657, (pdf).
"Towards the wall-crossing of locally Qp-analytic representations of GLn(K) of a p-adic field K" (with an appendix by Yiwen Ding, Yongquan Hu and Haoran Wang), preprint, 82 pages, (2024), arxiv:2404.06315, (pdf).
"Change of weights for locally analytic representations of GL2(Qp)", preprint, 19 pages, (2023), arxiv:2307.04332, (pdf).
"Bernstein eigenvarieties" (with Christophe Breuil), to appear in Peking Mathematical Journal, 150 pages, (pdf).
"Locally analytic Ext1 for GL2(Qp) in de Rham non trianguline case", Representation theory, Vol. 26, (2022), p. 122-133, (pdf).
"GL2(Qp)-ordinary families and automorphy lifting", to appear in Manuscripta mathematica, 51 pages, (pdf).
"Sur un problème de compatibilité local-global localement analytique" (with Christophe Breuil), Memoirs of the American Mathematical Society, Vol. 290, No. 1442, 166 pages, (pdf).
"A note on critical p-adic L-functions", Acta Mathematica Sinica, English Series (Special Issue on Arithmetic Geometry), Vol. 37, (2021), p. 121-141, (pdf).
"Simple L-invariants for GLn", Transactions of the American Mathematical Society, Vol. 372, No. 11, (2019), p. 7993-8042, (pdf).
"Higher L-invariants for GL3(Qp) and local-global compatibility" (with Christophe Breuil), Cambridge Journal of Mathematics, Vol. 8, No. 4, (2020), p. 775-951, (pdf).
"Companion points and locally analytic socle for GL2(L)", Israel Journal of Mathematics, Vol. 231, Issue 1, (2019), p. 47-122, (pdf).
"Some results on the locally analytic socle for GLn(Qp)", International Mathematics Research Notices, Vol. 2019, Issue 19, (2019), p. 5989-6035, (link).
"L-invariants, partially de Rham families, and local-global compatibility", Annales de l'Institut Fourier, 67 no. 4, (2017), p. 1457-1519, (pdf).
"L-invariants and local-global compatibility for GL2/F", Forum of Mathematics, Sigma, Vol. 4, e13, (2016), 49 pages, (pdf).
"Formes modulaires p-adiques sur les courbes de Shimura unitaires et compatibilité local-global", Mémoires de la Société Mathématique de France, 155, (2017), viii+245 pages, (pdf).
"A simple proof of Dieudonné-Manin classification theorem" (with Yi Ouyang), Acta Mathematica Sinica, English Series, (2012), vol. 28, issue 8 , p. 1553-1558, (pdf).
Other Writings
"On some partially de Rham Galois representations", 2014, 24 pages, (pdf).