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### A new proof of the mirror theorem

**Geometry/Topology**

Speaker: | Tom Coates, UC Berkeley |

Location: | 693 Kerr |

Start time: | Wed, Nov 7 2001, 4:10PM |

In 1991 the physicists Candelas, de la Ossa, Green and Parkes made an astonishing prediction, based on "mirror symmetry" in string theory, of the number of rational curves of all degrees on a quintic threefold $Q \subset \Bbb{P}^4$. This sparked a huge amount of mathematical activity, which has since resulted in a precise formulation and proof of their prediction. I will describe some of the mathematics involved, and outline a new proof of this "mirror theorem". This is joint work with Alexander Givental.

This seminar is joint with mathematical physics. This is the first of TWO TOPOLOGY SEMINARS THIS WEEK; the second is on Friday at 3:10.