##### Department of Mathematics,

University of California San Diego

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### Math 292 - Topology Seminar

## Hana Jia Kong

#### University of Chicago

## The motivic Chow t-structure and the computational applications

##### Abstract:

In this talk, I will introduce the Chow t-structure on the motivic stable homotopy category over a general base field. This t-structure is a generalization of the Chow-Novikov t-structure defined on a p-completed cellular motivic module category in work of Gheorghe--Wang--Xu. \\ \\ Moreover, we identify the heart of this t-structure with a purely algebraic category, and expand the results of Gheorghe-Wang-Xu to integral results on the entire motivic category over general base fields. This leads to computational applications on determining the Adams spectral sequences in the classical stable homotopy category, as well as that in the motivic stable homotopy category over C, R, and $F_p$. This is joint work with Tom Bachmann, Guozhen Wang and Zhouli Xu.

Host: Zhouli Xu

### November 17, 2020

### 10:30 AM

### Zoom information: Meeting ID: 933 6734 4286 Password: topology

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