Big quantum cohomology of Fano complete intersections
报告人：Xiaowen Hu (Sun Yat-sen University)
Abtract: After recalling the definition and some problems in Gromov-Witten theory, we report a recent progress on quantum cohomology of Fano complete intersections in projective spaces. We will introduce the square root recursion conjecture, and a puzzle in odd dimensions, and some ad hoc methods for cubic hypersurfaces. For the even dimensional intersections of two quadrics as the last class of exceptional complete intersections, we show the semisimplicity of the Frobenius manifold. Then we will explain the special feature of an odd length genus 0 invariant, and how it is related to enumerative geometry.