Ideally logarithmic smooth morphisms and higher direct images

Prof. Kai-Wen Lan
2024-05-22 10:00-11:00
MCM110

Speaker: Prof. Kai-Wen Lan (University of Minnesota, Twin Cities)
Time: 10:00-11:00 am  May 22nd, 2024 (Wednesday)
Place: MCM110
Title: Ideally logarithmic smooth morphisms and higher direct images
Abstract: We will review the notions of log smooth and ideally log smooth morphisms of schemes (with suitable log structures) and explain their analogues for rigid analytic varieties over p-adic fields, and then explain under what conditions we know that the higher direct images of p-adic Kummer etale local systems are still local systems.  This is based on joint work in progress with David Sherman.