Are Jake Gyllenhaal and Natalie Portman Dating?

Jake Gyllenhaal, who clearly has nothing but free time, spends the afternoon strolling around town on a date with actress Natalie Portman. The only thing these two could possibly have in common might be their schooling, and even that's a stretch. Natalie attended and graduated from Harvard University.

Jake attended Columbia University...but he dropped out. I don't know if I smell love in the air just yet, but I do smell something. Maybe it's that little bouquet of plastic wrapped supermarket flowers that Jake gave Natalie on their first date. Now that's what I call class!

Photos From Jake and Natalie's Date at PopSugar

Photo Credit: Pascal Le Segretain/Getty Images.