10-adics and 2-adics: decimals with dot-dot-dot on the wrong side
Time and place
1:45 PM on Wednesday, June 26th, 2019; Marshak 418N
Alice Medvedev (CCNY and CUNY Graduate Center)
Abstract
What if decimal expansions had to be finite to the right of the decimal point, but were allowed to be infinite on the left? Certainly, we can still express integers; but what fractions can we express? What numbers have square roots? What familiar properties of addition and multiplication do we lose? Is it better to use base 2, that is binary expansion, like 1011 for eleven? That's all algebra; what is analysis like in this strange world?