Time:15:00-16:00, Thursday, October 9 2025
Venue:E4-233
Speaker:Peng Du, Zhejiang Normal University
Title: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.