Dubrovin connection under flips


Chin-Lung Wang

16:20:00 - 17:10:00

101 , Mathematics Research Center Building (ori. New Math. Bldg.)

We study analytic continuations of quantum cohomology in the Kähler moduli under simple flips. This is analyzed by block diagonalization of the Dubrovnik connection along the vanishing cycles. One of the key steps is to show that the vanishing cycles correspond exactly to the directions where the Dubrovin connection under analytic continuations acquires irregular singularities. In this talk, instead of providing detailed proofs I will concentrate more on examples and explicit calculations. This is a joint project with Yuan-Pin Lee (Utah) and Hui-Wen Lin (NTU)