Speaker: 

Julian Eshkol

Institution: 

UC Irvine

Time: 

Tuesday, April 7, 2026 - 3:00pm to 4:00pm

Host: 

Location: 

440R

Welch games are a genre of challenge-and-response games that can be used to stratify large cardinal strength between weak compactness and measurability [Foreman, Magidor, Zeman 2020]. The known variants of this game make sense only in the context of large cardinals. In this talk, we define and explore threading ideals, a combinatorial principle necessary for importing the Welch-game idea to successor cardinals.