Isotropic points in the Balmer spectrum of stable motivic homotopy categories

发布时间:2025-09-03浏览次数:10



题目Isotropic points in the Balmer spectrum of stable motivic homotopy categories

报告人杜鹏(浙江师范大学)

 

时间Tuesday, September 23, 2025, 14:00--15:00

地点格物楼315

 

摘要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.

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