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Computing a categorical Gromov-Witten invariant
涂君武 副教授(上海科技大学)
2018-10-18 14:00-15:00  闵行数学楼401报告厅

报告内容摘要:We compute the g = 1, n = 1 B-model Gromov-Witten invariant of an elliptic curve E directly from the derived category of coherent sheaves on E. More precisely, we carry out the computation of the categorical Gromov-Witten invariant defined by Costello using as target a cyclic A-infinity model due to Polishchuk. This is the first non-trivial computation of a positive genus categorical Gromov-Witten invariant, and the result agrees with the prediction of mirror symmetry: it matches the classical (non-categorical) Gromov-Witten invariants of a symplectic 2-torus computed by Dijkgraaf. (Joint work with Andrei Caldararu)
报告人简介:美国密苏里大学博士,在世界著名期刊 Transactions of the AMS,Mathematische Annalen,Advances in Mathematics,International Mathematics Research Notices,Compositio Mathematica等杂志上发表文章。