Marriage under sharia law

Here's a discussion on Abu Dhabi TV between a Saudi cleric, a Saudi woman activist, and the show's hostess about the types of marriage permitted under sharia law, and women's rights more generally. The discussion demonstrates the result of shoehorning today's existence into categories deduced from the life of Mohammed 1,400 years ago. It should be required viewing for the Archbishop of Canterbury and any other advocates of the partial adoption of sharia law - which part, I wonder? (Thanks to MEMRI.)