SAG: Coherent sheaves in log geometrySeminar Algebraic Geometry (SAG)

by Maximilian Schimpf (MPI)

Thursday May 7, 2026, 10:30 AM → 11:30 AM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

I will present joint work with Hannah Dell, Xianyu Hu, Patrick Kennedy-Hunt and Kabeer Manali Rahul on a new notion of (quasi-)coherent sheaves in log geometry that aims to give a foundation for the theory of moduli spaces of sheaves on degenerations. This talk will go through our basic definitions and introduce the notion of "static" sheaves, which enables us to show that the category of log coherent sheaves is abelian and perform explicit computations in it. Time permitting, we will also discuss the resulting derived category of log coherent sheaves and its smoothness.