Dominik Adolf will talk about

**Scales in inner models**.

**Abstract**: Tree like scales were introduced by Pereira in his PhD thesis. Unlike other properties like goodness, tree-likeness is known to be consistent with the existence of extremely strong large cardinals like I_0 -cardinals (Pereira) and supercompact cardinals (Cummings).

We will add to this by showing that tree-like scales also exist in all canonical (short extender) inner models. In fact, every product in such a model carries a continuous tree-like scale. If time permits we will also discuss when such scales exist in arbitrary universes by the use of core model theory

The ZOOM link ishttps://huji.zoom.us/j/86966842099?pwd=NGNqUEhKMVR4UWNhZ1pRQW9IemNVZz09

## Date:

Wed, 07/07/2021 - 14:00 to 16:00