**Laurent Clozel**

Univ. de Paris-Sud, France

August 8, 2013

**Symmetric powers of modular forms and L-functions**:
One very special example of Langlands functoriality is the existence
of the so-called `symmetric powers' S^{n} of modular forms (Langlands, 1970). We show that this is true up to n=8 (common work with J. Thorne).