数论与表示论讨论班:王宇鹏 Nonlocal Problems in Mathematical Physics, Analysis and Geometry



时间: 11月20日,周三,15:00-16:00
地点:东7报告厅
标题: A stacky p-adic Riemann-Hilbert correspondence on Hitchin-small locus
摘要: Let X be a smooth rigid analytic variety over C with a liftable smooth (or semi-stable) formal model over O_C. We will establish an equivalence between the moduli stack of Hitchin-small de Rham local systems on X_v and the moduli stack of Hitchin-small integrable connections on X_et, based on a new period sheaf with connection on X_v. This is a joint work with Yudong Liu, Chenglong Ma, Xiecheng Nie and Xiaoyu Qu.