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Seminar on Reckoning

Variations on theorems of Silver and Galvin-Hajnal

Chris Lambie-Hanson
IM CAS

 

Seminar on Reckoning
Wednesday, 19. January 2022 - 11:00 to 14:00

Institute of Mathematics CAS, Zitna 25, seminar room, 3rd floor, front building

We will begin by reviewing the celebrated theorems of Silver and Galvin-Hajnal about cardinal exponentiation at singular cardinals of uncountable cofinality. We will then present some recent variations on these theorems concerning cardinal characteristics at singular cardinals, focusing in particular on the dominating number.