# CRM-Fields-PIMS Prize Lecture: Niky Kamran

## Topic

## Details

It is well known that Einstein's general theory of relativity provides a geometrical description of gravity in terms of space-time curvature. Einstein's theory poses some fascinating and difficult mathematical challenges that have stimulated a great deal of research in geometry and partial differential equations. Important questions include the well-posedness of the evolution problem, the definition of mass and angular momentum, the formation of black holes, the cosmic censorship hypothesis, the linear and non-linear stability of black holes and boundary value problems at conformal infinity arising in the analysis of the AdS/CFT correspondence. I will give a non-technical survey of some significant advances and open problems pertaining to a number of these questions.

## Additional Information

This Prize recognizes exceptional achievement in the area of mathematical sciences and is considered one of Canadaâ€™s top honours in mathematics.

The Prize carries a monetary award of $10,000 and the recipient presents lectures at each of the three awarding institutes.

Niky Kamran (McGill)

**Scientific, Distinguished Lecture**

**April 7, 2014**

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