TITLE: tree properties on $\omega_1$ and $\omega_2$
QUESTION [12 upvotes]: Are the following mutually consistent (relative to large cardinals)?
(1) There are no $\omega_2$-Aronszajn trees.
(2) There is an $\omega_1$-Kurepa tree.
In the models I know of the tree property at $\omega_2$, it also holds that there are no weak Kurepa trees on $\omega_1$ (also called Canadian trees).

REPLY [12 votes]: I wrote a short note with the consistency proof, which can be found at http://www.math.cmu.edu/users/jcumming/papers/kurepa/kurepa.pdf. It is pretty rough, please tell me if there are problems.