10-adics and 2-adics: decimals with dot-dot-dot on the wrong side
Time and place
1:15 PM on Thursday, November 3rd, 2016; NAC 4/148
Prof. Alice Medvedev (CCNY Math Department)
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 exapansion, like 1011 for eleven? That's all algebra; what is analysis like in this strange world?
