Speaker: 

Professor Nam Trang

Institution: 

University of North Texas

Time: 

Monday, June 2, 2025 - 4:00pm to 5:00pm

Location: 

RH 440R

We survey recent work on the Sealing phenomenon. Woodin shows that various forms of Sealing hold in a generic extension of the universe of sets in which there is a supercompact cardinal and a proper class of Woodin cardinals. Sargsyan and I study Sealing in hod mice and compute the exact consistency strength of Sealing. I will give background and state precisely these results. I will also discuss the impact of Sealing on the universe of sets and the inner model program.