学术报告

A theory of counting surfaces in projective varieties

动力系统讨论班

题目:A theory of counting surfaces in projective varieties

报告人:蒋云峰教授(堪萨斯大学)

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 theoretical 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 invariants.  

报告时间:2024年06月27日(周四)上午10:30-11:30

报告地点:教二楼913

联系人:孙善忠