# Condensed Learning Seminar

## Nuc(X) is Dualizable

Prove that for a qcqs analytic adic space $X$, the category of nuclear sheaves on $X$ is dualizable in two steps. First, establish the result locally over affinoid Tate adic spaces using the notion of weak proregularity and then prove a general result concerning gluing of dualizable categories. Define (continuous) $K$-theory of adic spaces.

### Date & Time

April 05, 2024 | 2:30pm – 4:30pm