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Title:
Coincidences between homological densities, predicted by arithmetic - 2 of 2
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In this talk I'll describe some remarkable coincidences in topology that were found only by applying Weil's (number field)/(f unction field) analogy to some classical density theorems in analytic number theory, and then computing directly. Unlike the finite field case, here we have only analogy; the mechanism behind the coincidences remains a mystery. As a teaser: it seems that under this analogy the (inverse of the) Riemann zeta function at $(n+1)$ corresponds to the 2-fold loop space of $P^n$. This is joint work with Jesse Wolfson and Melanie Wood.
This is the second lecture in a two part series: part 1
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