A theory of counting surfaces in projective varieties
报告题目(Title)：A theory of counting surfaces in projective varieties
报告人(Speaker)：蒋云峰（堪萨斯大学）
地点(Place)：后主楼1124
时间(Time)：2025年6月17日 15:00-16:00
邀请人(Inviter)：程志云
报告摘要
The theory of enumerative invariants of counting curves (Riemann surfaces) in projective varieties has been an important theory in the last decades. The enumerative invariants were motivated by theretical physics---string theory and gauge theory, and include Gromov-Witten theory, Donaldson-Thomas theory and more recently Vafa-Witten theory. It is hoped that there may exist a theory of counting algebraic surfaces in projective varieties. A theory of counting surface in a Calabi-Yau 4-fold has been constructed using Donaldson-Thomas theory of 4-folds. In this talk I will try to give evidences of a counting surface theory using stable maps, and explain why it is difficult to construct the counting surface invaraints.
