Shehzad Ahmed
The Undergraduate Mathematics Seminar series features Shehzad Ahmed discussing “Rearranging Infinite Series” on Thursday, Sept. 27, from 5:15-6:10 p.m. in Morton 322.
Ahmed is a graduate student in Mathematics at Ohio University.
Abstract: We want to consider whether “infinite addition” of reals is commutative. That is, if we are handed a convergent series of reals, we would like to know whether rearranging the series produces the same result. It turns out that, while any rearrangement of an absolutely convergent series converges to the same number, this fails for conditionally convergent series. In this talk we will discuss all of the spectacular ways in which rearrangements of conditionally convergent series can fail to converge to the original sum.
Talks in this seminar series are designed to be accessible to undergraduate mathematics majors, but all are welcome to attend. See more about this seminar series.
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