What's the name of this flower?
It looks like the common Geranium sylvaticum (also called wood cranesbill or Mayflower), and it is at least a close relative (member of the Geranium genus). This plant is commonly found across Europe and in parts of Asia (see map below), and it is sometimes planted in gardens. It is a perennial herb that grows in many types of habitats (woods, meadows, road sides, mountain areas), and the flowers are most commonly violet to blue, but can also be white. Geranium pratense is very similar, but usually has more narrow leaf lobes and bent flower stalks. However, it might not be possible to separate these two species based on your picture.

There are also similar relatives found in North America (e.g. Geranium maculatum) and Asia (e.g. Geranium himalayense) and many hybrids of plants from within this genus are cultivated.


(picture from Swedish Wikipedia)


(distribution map from the Swedish Museum of Natural History: Den virtuella floran)