The 19th century idea of "Durfee squares" produced an effective combinatorial trick to count partitions. (In fact, one of its modern incarnations is the h-index measuring mathematicians' productivity.) The resulting identity has been reinterpreted in Donaldson-Thomas theory as the comparison of two ways of calculating DT invariants of the A2 quiver. In this talk, we will explore the DT quantum dilogarithm identities and their infinite-variable generalizations via motivic characteristic classes. No prior knowledge is assumed about any of the mentioned areas. Speaker(s): Richard Rimanyi (University of North Carolina)