Berkovich analytification of algebraic varieties and tropicalization

Time:

Venue/Location: Phòng C101, VIASM, 157 phố Chùa Láng, Hà Nội

Báo cáo viên: Cristhian Emmanuel Garay Lopez, Center for Research in Mathematics, Mexico

Tóm tắt: Analytification is a very important tool in complex algebraic geometry. At a very basic level, it improves the topology of our algebraic varieties. It turns out that this process can also be performed for varieties over other fields once we equip them with a valuation of rank 1. In this talk we will describe how to do this process, and how the tropicalization process of non-archimedean algebraic subvarieties of toric varieties enters into this construction.