中央研究院數學研究所

Algebraic Geometry Seminar

The rhizomic topology and tropical abelian varieties

2026/01/26 (Mon.) 15:00~17:00

Date : 2026/01/26 (Mon.) 15:00~17:00
Location : Seminar Room 617, Institute of Mathematics (NTU Campus)
Speaker : Leo Herr (Virginia Tech)
Organizer : Ionut Ciocan-Fontanine and Adeel Khan and Y.P. Lee (AS)
Abstract :
The log etale topology is a natural analogue of the etale topology for log schemes. Unfortunately, very few things satisfy log etale descent -- not even vector bundles or the structure sheaf. We introduce a new rhizomic topology that sits in between the usual and log etale topologies and show most things do satisfy rhizomic descent! As a case study, we look at tropical abelian varieties and give some exotic examples.