If the Jazz win the lottery I think they clearly pick Irving, if they get the 2nd or 3rd pick, I think they would take Barnes or Williams. Those are the top three picks in my mind right now. Assuming we don't win the lottery and these three guys are already picked, then I get the feeling the Jazz will pick a center.
The only two centers who will be lottery picks this year both happen to be European, and also have two very different skill-sets.
The first option, and probably the more well know, is Enes Kanter. At 6'10" 260lbs with a 7'1" wingspan, you are getting a great low post back to the basket kind of center. Watching videos of this guy and he possesses all the right footwork and agility skills you want in a post up center. He plays good defense, has solid ball handling skills, and plays with a pretty high motor. To me his only downside is he is undersized to be a true center, and his game is really below the rim. I kinda feel like he is Al Jefferson 2.0 who plays with more energy and better defense and rebounding.
If you want a more detailed writeup and some video clips go here:
or here: http://www.nbadraft.net/players/enes-kanter
The other option is Jonas Valanciunas. Jonas is a 19 year old Lithuanian who is 6'11" 240lbs with a 7'4" wingspan. Basically with this guy you are getting an above the rim center who plays with a ton of energy and explosiveness. He doesn't have a great post up game which is partially because of his size, he just tends to get pushed around too much. What he does have is crazy energy which makes him an excellent rebounder (especially offensive) and he runs the floor extremely well. He is also know to be very aggressive looking to dunk on or over every other player. His downsize is lack of post up moves, and his weight. He needs to bulk up and learn to play in the post. To me you are getting Andris Biedrin 2.0 with more athleticism.
For more info and videos go here.
or here: http://www.youtube.com/watch?v=5jvPl5-wRsE
I have to say that I think the ceiling for Jonas is higher than Enes only due to the fact that he has the added height and wing span. If Jonas can bulk up and work on his defense and low post game I think he could turn out to be closer to Tyson Chandler than Andris Biedrin. Either way it would be interesting to see either of these guys on the Jazz.