ZUMA - An overview of tensor triangular geometry/ Isotropic points in the Balmer spectrum of stable motivic homotopy categories
Venue: Room 204, Hai Na Yuan #2, Zijingang Campus
Time: 16:00 - 17:20, September 29
Speaker: 杜鹏 Peng Du (Zhejiang Normal University)
Pretalk: An overview of tensor triangular geometry
Abstract: I will discuss some basics on tensor triangular geometry, and specialise to some concrete examples, in particular in the homotopy setting.
Research talk: Isotropic points in the Balmer spectrum of stable motivic homotopy categories
Abstract: I will discuss the tensor-triangulated geometry of the stable motivic homotopy category SH(k) and a big family of the so-called isotropic realisation functors, parameterized by the choices of a Morava K-theory and an extension of the base field k (of characteristic zero). By studying the target category of such an isotropic realisation functor, we are able to construct the so-called isotropic Morava points of the Balmer spectrum Spc(SH(k)c) of the stable motivic homotopy category SH(k). This is based on a joint work with A. Vishik.
