# Deciphering the HOD Dichotomy: Part II

## Shoshana Friedman

### Kingsborough Community College, CUNY

I will continue to attempt to present my version of the notes of Woodinâ€™s talk at the Appalachian Set Theory seminar on his paper, the HOD Dichotomy, including the HOD conjecture. Principally, I hope to present how weak extender models relate to the HOD conjecture. I will also present the initial part of new results that were inspired by the HOD conjecture, in particular, by failures of the cover property.

Professor Friedman earned her Ph.D. at the CUNY Graduate Center in 2010 under the supervision of Arthur W. Apter, and now holds a faculty position at Kingsborough CC of CUNY and is active in the logic seminars at the Graduate Center. She conducts research in forcing and large cardinals, with a particular emphasis on aspects of definability.