International audienceThe productivity slowdown has been analysed either as an effect of the crisis, resulting from the financial and demand shocks, or as a more structural decline. In France, using macroeconomic and microeconomic data, we identify downward breaks in the trends of labour productivity and total factor productivity in the 2000s, several years before the crisis. These breaks result in historically weak rhythms of the trends. Using data on firms located in France, we highlight that, at the technological frontier, productivity has accelerated, especially over the recent period, which contradicts the hypothesis of a decline in innovation. The most productive firms in a given year do not, however, improve their relative advantage....