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报告题目: The Chow t-structure and calculations in motivic stable homotopy theory
报 告 人: 孔嘉
报告人所在单位: Institute for Advanced Study,Postdoctoral member
报告日期: 2022-01-14
报告时间: 10:20—11:00
报告地点: 复旦大学光华楼东主楼2201室、腾讯会议755107231
   
报告摘要:

I will talk about joint work with Tom Bachmann, Guozhen Wang and Zhouli Xu on the Chow t-structure on the motivic stable homotopy category over a general base field. We identify the heart of this t-structure and show the algebraicity of a certain motivic module category. Our work generalizes the work of Gheorghe--Wang--Xu; it leads to computational applications in the classical and motivic Adams spectral sequences. 

Time permitting, I will also talk about the motivic slice computation of the motivic 'image-of-j' spectrum defined by Bachmann--Hopkins. The comparison between the motivic slice spectral sequence and the motivic Adams spectral sequence parallels the classical Adams and Adams--Novikov spectral sequences. The slice computation is joint with Eva Belmont and Dan Isaksen.

1.14.pdf

   
本年度学院报告总序号: 387

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