# The Clay Mathematics Institute

### Enhancement and Partnership Program

The principal aim of the program is to enhance activities that are already planned and financially viable. It is most commonly used to support a small number of highly distinguished speakers at a conference or workshop, but the program also provides funds for other forms of partnership, including graduate summer schools and similar events. The call for proposals for activities taking place after September 30, 2017 is open.

## Millennium Problems

The answer to this conjecture determines how much of the topology of the solution set of a system of algebraic equations can be defined in terms of further algebraic equations. The Hodge conjecture is known in certain special cases, e.g., when the solution set has dimension less than four. But in dimension four it is unknown.