amigasa

These hats are called 編み笠 (amigasa) and are worn usually during odori. 

According to seiyaku.com,

both the amigasa and the hikosa zukin are seen at a three-day event, which is held just after o-bon. This is a time when people travel back to their home towns, have large family reunions and visit ancestral graves.

The festival dates from the 13th century when a priest called Genshin commanded villagers to dance in the Zao Gongen temple grounds to pray for a good harvest. The dance evolved into a folk dance and is accompanied by music and singing, which also evolved with rather agrestic and bawdy lyrics. For this reason, the festival was banned in the Taisho Era (1912-1926) but later revived and continues to be celebrated each summer.

I think amigasa is a catchall for hats made of woven straw (sedge), but I would like to know the names of the different straw hats as well, like 花笠 hanagasa. The hat pictured, I think, is a おけさ笠. 

Having no idea what key words to use in searching for this hat, I Googled: Japanese taco hat. 

See also: 
http://www.ka-sys.com/komono.html
http://homepage1.nifty.com/saga-t/kappa/watashi/amigasa.html