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Seminar
FIELD Math:Topology
DATE December 28 (Mon), 2020
TIME 14:00-16:00
PLACE Online
SPEAKER 이상욱
HOST Kim, Joontae
INSTITUTE 숭실대학교
TITLE [GS_M_Topo] Generalized Kodaira-Spencer maps
ABSTRACT We study the mirror symmetry between cohomology algebras on A- and B-models. On A-model, we are given a quantum cohomology or a symplectic cohomology, and on B-model we are given a Jacobian algebra or a Koszul algebra. First we recall the Kodaira-Spencer map due to Fukaya-Oh-Ohta-Ono. Then we deal with a case when the target is not a genuine Jacobian algebra, especially when there is a finite group action hence the target is an orbifold Jacobian algebra. In this case we are led to consider more general closed-open maps which we named generalized Kodaira-Spencer maps. We also consider noncompact cases so that we need to think of symplectic cohomology and Koszul algebra respectively. This is based on the joint work with C.-H. Cho. (Please visit http://newton.kias.re.kr/~topology/ for a zoom link.)
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