Guys, there is nothing really technologically earth-shattering about this building.
Rain water? They are called roof-drains. Done all of the time... There will be a gutter system on either side at the low point of the curved roof. It is not a good design (gutters like this can leak to the building interior), but it is done all the time
Too Hot? Well, it will be an issue - but the new ultra clear glass coming from the two major maufacturers (PPG and Pilkington) is pretty high tech. All of them block UV radiation so stop with the stupic sunscreen jokes. Heck, plain old clear glass blocks almost all UV radiation . No matter how you slice it, this building WILL have a higher heat load/cooling loss with glass that transmits 75% of visible light (I happen to have a PPG glass sample on my desk right now). The bigger issue is that most of the panels are single pane glass (not insulated)...
Sesmic is a bit of an issue - but it will have to meet the code, so it will be doable
The roof getting dirty is a bit of an issue. It does not rain for months at a time in that area. They will be cleaning it often, just to remove the dust and bird droppings. Some building like this actually have a claning system built in - so not one have to go up on the roof for the regular cleanings.