I am posting the last two talks in my Clay-Mahler lecture series here:
- “Structure and randomness in the prime numbers“. This public lecture is slightly updated from a previous talk of the same name given last year, but is largely the same material.
- “Perelman’s proof of the Poincaré conjecture“. Here I try (perhaps ambitiously) to give an overview of Perelman’s proof of the Poincaré conjecture into an hour-length talk for a general mathematical audience. It is a little unpolished, as I have not given any version of this talk before, but I hope to update it a bit in the future.
[Update, Sep 14: Poincaré conjecture slides revised.]
[Update, Sep 18: Prime slides revised also.]