Title: Towards small quantum Chern character
        
Abstract: A classical result in algebraic topology states that Chern character is a ring isomorphism from K-theory to cohomology. Quantum K-theory/cohomology is deformation of K-theory/cohomology encoding genus-zero Gromov-Witten invariants, and it is natural to find quantum lift of Chern character, i.e. ring homomorphism from QK to QC whose classical limit is Chern character. In this talk, I will  report a construction of such maps from small QK to small QC, in the cases of projective spaces and incidence varieties. This talk is based on joint work with Changzheng Li and Jiayu Song.