Will Shimano 105 FC-R7000 replace R565 I have a 2013 Trek Madone 4.5 with 10-speed Ultegra groupset, current crankset is a Shimano R565 50/36 compact. I want to replace the worn out crankset with a new lighter and up to date crankset. Will the new Shimano 105 FC-R7000 11 speed crankset work on this bike?
Should be a drop-in replacement. 

Presumably you have a Hollowtech external bearing bottom bracket in a 68mm shell. Latest generation Shimano cranks all have 25mm axles that fit in Hollowtech BBs. 

11 speed crank will work with a 10 speed chain.