Stainless steel canisters used to store high-level radioactive waste that has been vitrified, i.e., combined with borosilicate glass. As explained in the podcast, having no long-range order in the arrangement of their atoms, glasses are less vulnerable to radiation damage that can disrupt crystalline material.
The molten glass is poured directly into the containers, and it is left to cool down naturally. The steel has some resistance to radiation damage, but it is expected that it will completely corrode in a geological facility before radiation severely damages it. The corrosion (by groundwater) will likely take around 1,000 to 2,000 years.
Courtesy of Sellafield, Ltd.