Skype is popular because it can function even when both ends of the conversation are going through a NAT. NATs are inherently evil (no, they don't offer more protection than a simple ingress filter on any "real" router) and break the end-to-end principle. With IPv6, you will not get just 1 IP address like in IPv4, but a shitload (currently the thinking is a /48, which is over 65000 subnets, each subnet containing roughly 4 billion * 4 billion addresses, but thinking is changing towards /56's, only 256 subnets, still an impressive number of addresses).
What this will do it 2 things:
1- allow for more machines to do any particular service. (multiple VoIP devices, multiple webservers, no extra configuration to restore ICQ file transfers, easy webcamming)
2- reduce worm problems (because most addresses are not used, simply scanning address ranges will not be successful, limiting worm propagation by several orders of magnitude)
So, no, it doesn't remove the need for servers per se, but most applications that set up peer to peer connections these days need some other machine to bypass the NAT problem. With IPv6, NAT is no longer needed (although there will be idiots that think it makes things more secure and demand it for IPv6 as well. I'm praying it won't catch on)
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