Trees, Shrubs and Conifers: Chinese...something tree, 2 by wingwoman

wingwoman wrote:
A neighbor down the street, who has lived here 20 plus years was cleaning branches in his yard, and I stopped to talk with him. He thinks woodpeckers may have damaged his tree, as it's limbs are breaking off. He remembers the name as a Chinese something. The rest of the tree is beautiful, and we'd like one in our yard, as it provides great shade. Can anybody help identify this tree from the photos I've provided?