Basic properties of solid abelian groups

AMSS-MCM-YMSC Learning group

on Condensed Mathematics

01

Organizer

Yihang Zhu (YMSC)

02

Speaker

Kehao Cheng 程柯豪

(Peking Universtiy)

03

Time

Mon., 16:20, Nov.4, 2024

04

Venue

MCM 110

Basic properties of solid abelian groups

In the previous lecture, we have seen the definition of solid abelian groups. In this lecture, we will firstly focus on the formal properties of the category of solid abelian groups i.e. Thm 3.2.3 (1)-(8) except(4). Then we will give explicit computations of (derived) solidification of real number R, P and Z[S] when S is a light profinite set and the (derived) solid tensor of countable product of Z with itself , which will give the remaining part of Thm 3.2.3 except (14). Finally, we will present a computation of derived solidification of Z[X] when X is a CW complex.

For more information:

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