09:30 to 10:30 I Soibelman ([Kansas State])Integrable systems, Mirror Symmetry and Donaldson-Thomas invariants This talk is about applications of some ideas from Mirror Symmetry to complex integrable systems. It is a joint work with Maxim Kontsevich, and it is related to our theory of Donaldson-Thomas invariants for 3d Calabi-Yau categories. In particular, wall-crossing formulas lead to a construction of exponential Hodge structure of infinite type". INI 1 10:30 to 11:00 Morning Coffee 11:00 to 12:00 On the motivic class of the commuting variety and related problems In 1960, Feit and Fine found a beautiful formula for the number of commuting n by n matrices over the finite field F_q. Their result can be reinterpreted as a formula for the motivic class of the commuting variety in the Grothendieck group. We will describe a simple new proof of their formula which allows us to generalize the result to several other settings with applications to motivic Donaldson-Thomas theory. INI 1 12:00 to 13:00 Lunch at Wolfson Court 13:00 to 14:00 Wall-crossing of the motivic Donaldson-Thomas invariants We study the motivic Donaldson-Thomas invariants introduced by Kontsevich-Soibelman and Behrend-Bryan-Szendroi. A wall-crossing formula is proved for a certain class of mutations of quivers with potentials. INI 1 14:00 to 14:30 Afternoon Tea 14:30 to 15:30 Motivic Donaldson-Thomas theory of the conifold The talk will explain the computation of the motivic refinement of Donaldson-Thomas theory and related enumerative theories on the resolved conifold geometry, in all chambers of the space of quiver stability conditions. The results are in full agreement with the expected answer from the refined topological vertex of Iqbal-Kozcaz-Vafa, and the wall-crossing computations of Jafferis-Chuang. This is joint work with Andrew Morrison and Kentaro Nagao. INI 1 18:45 to 19:30 Dinner at Wolfson Court (residents only)