Sungwoo Nam (UIUC Math) Quantum cohomology of Grassmannians and GromovWitten invariants Abstract: As a deformation of classical cohomology ring, (small) quantum cohomology ring of Grassmannians has a nice description in terms of quantum Schubert classes and it has (3 point, genus 0) GromovWitten invariants as its structure constants. In this talk, we will describe how 'quantum corrections' can be made to obtain quantum Schubert calculus from classical Schubert calculus. After studying its structure, we will see that the GromovWitten invariants, which define ring structure of quantum cohomology of Grassmannians, are equal to the classical intersection number of twostep flag varieties. If time permits, we will discuss classical and quantum LittlewoodRichardson rule using triangular puzzles. 
