*Is there a place for "ugly" mathematics?*

Peter Sarnak, Institute for Advanced Study & Princeton University

04:15-04:45 Thursday April 4

One of Hardy's well-known quotes is
"...Beauty is the first test: there is no permanent place in the world
for ugly mathematics."

If by ugly he means complicated and not transparent, I
will argue by way of some examples from number theory that at
least as far as the proofs go, his claim
may be too strong. On the other hand the truths that are being established
must surely be simple, if they are to survive the test of time.

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