IPM Calendar 
Monday 9 December 2024   Today  
Events for day: Thursday 07 November 2024    
           14:00 - 16:00     Mathematical Logic Weekly Seminar
Large Cardinals Beyond HOD

School
MATHEMATICS

I will present some recent results about new large cardinals that imply the set-theoretic universe is not HOD (the universe of Hereditarily Ordinal Definable sets). In particular, ultraexact cardinals are equiconsistent, modulo ZFC, with the existence of an I0 embedding, yet they imply that some successor cardinal is measurable in HOD. Moreover, the existence of an ultraexact cardinal together with an extendible cardinal below it is consistent with ZFC and refute Woodins HOD Conjecture. This is joint work with Juan Aguilera, Gabriel Goldberg, and Philipp Lucke.

Zoom room information:
https://us06web.zoom.us/j/81916335336?p ...