Speaker: Kevin Walker (Microsoft Station Q)

Title: Verlinde formulas for unoriented, Spin and Pin 2+1-dimensional TQFTs

Abstract: I'll classify 1+1-dimensional TQFTs for unoriented, Spin, Pin+ and Pin- manifolds. Using this classification, I'll derive Verlinde-type formulas for the dimensions of Hilbert spaces in 2+1-dimensional TQFTs for these same classes of manifolds. If there's time, I'll also discuss constructing examples of Spin and Pin TQFTs via categorical quotients.