ZUMA-An overview of tensor triangular geometry/ Isotropic points in the Balmer spectrum of stable motivic homotopy categories2025.9.29

地点:海纳苑2幢204室

时间:9月29日,16:00 - 17:20

报告人:杜鹏 Peng Du(浙江师范大学)

摘要:  

  • Pretalk: An overview of tensor triangular geometry

    • 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

  • 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.