Seminar by Yupeng Wang: A stacky p-adic Riemann-Hilbert correspondence on Hitchin-small locus

 


TimeNovember 20, Wednesday15:00-16:00


Venue: Lecture Hall


Title: A stacky p-adic Riemann-Hilbert correspondence on Hitchin-small locus


Speaker: Yupeng Wang 王宇鹏 (Beijing International Center for Mathematical Research)


Abstract: 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.