## fields medal

Results in mathematics come in several flavours — theorems are the big important results, conjectures will be important results one day when they are proved, and lemmas are small results that are just stepping stones on the way to the big stuff. Right? Then why has the Fields medal just been awarded to Ngô Bào Châu for his proof of a lemma?

Eron Lindenstrauss got the Fields Medal for developing tools in the area of dynamical systems and using them to crack hard problems in the seemingly unrelated area of number theory.

*theorems*are the big important results,

*conjectures*will be important results one day when they are proved, and

*lemmas*are small results that are just stepping stones on the way to the big stuff. Right? Then why has the Fields medal just been awarded to Ngô Bào Châu for his proof of a lemma?

Over 3000 mathematicians have gathered to sounds of the tabla and bansuri playing traditional Indian music in the Hyderabad International Convention Centre, and they are all baiting their breath. They are all waiting for the announcement of the Fields medals, the highest honour in mathematics, and the prestigious Gauss, Nevanlinna and Chern Prizes. The hall is a colourful scene filled with mathematicians from around the world, including many local participants in beautiful saris and suits. You can hear a pin drop as the entire hall stands for the entrance of Pratibha Patil, the President of India, who will award the medals to the prize winners...

Plus has opened its temporary head office in Hyderabad! We're here for the International Conference of Women Mathematicians, starting today, and the International Congress of Mathematicians starting on Thursday. The highlight (apart from Plus' presentation on public engagement with maths) will be the award of the Fields Medals 2010. Watch our news section or follow us on Twitter to find out all the news first.

- Happy birthday Plus! — celebrating 10 years of bringing mathematics to life
- Plus 10 — what were the greatest mathematical advances in the last decade?

- The Fields Medals: Maths in the media
- Plus new writers award: last chance to enter
- Readers' corner: Why is nim easy and chess hard?