Structure of the category Solid and some examples for solid tensor products

AMSS-MCM-YMSC Learning group

on Condensed Mathematics

Organizer：

Yihang Zhu 朱艺航（YMSC）

Speaker：

Yu Xiao (AMSS)

Time：

Mon., 4:20 pm, Nov. 25, 2024

Venue：

MCM 110

Title：

Structure of the category Solid and some examples for solid tensor products

Abstract

In previous lectures we've seen the category Solid is a symmetric monoidal abelian category. In this talk, we will describe the objects in Solid as inductive limits of finite presented objects and find a flat object \Prod_N Z for the solid tensor product. Finally, we will list some examples of solid abelian group such as Qp-Banach spaces and Frechet spaces and their solid tensor products to see how the solid theory plays a role in non-archimedean functional analysis.

For more information:

https://yhzhumath.github.io/Solid2024.html