# The Clay Mathematics Institute

**CMI at 20**

Oxford, 24-26 September, 2018

A conference to celebrate the foundation of the Clay Mathematics Institute in 1998 and its contributions to the international mathematical community over the past 20 years. The conference will highlight the outstanding work of some of the mathematicians whose research CMI has supported. Speakers: Manjul Bhargava, Ben Green, Elon Lindenstrauss, John Morgan, Ngô Bảo Châu, Peter Scholze, Stanislav Smirnov, Terence Tao, Claire Voisin, Andrew Wiles.

## Millennium Problems

If it is easy to check that a solution to a problem is correct, is it also easy to solve the problem? This is the essence of the P vs NP question. Typical of the NP problems is that of the Hamiltonian Path Problem: given N cities to visit, how can one do this without visiting a city twice? If you give me a solution, I can easily check that it is correct. But I cannot so easily find a solution.