In the first half of this discussion group we will hear about elliptic curves with multiplication. These are elliptic curves where the endomorphism ring contains more than just a copy of the integers. The theory is extremely interesting and has a number of deep connections with, amongst other things, questions regarding number fields.

The second half will concern the Weil Conjectures. Originally stated and proved for algebraic curves (by Weil himself), the Weil Conjectures offer a wonderful analogy between the geometry of projective varieties over finite fields and various ideas from algebraic topology.

Come along to MS.05 to hear Cosmin Davidescu and Sam Derbyshire expound on these topics. After which we will head to the pub. Stay categorical.