Counting embedded curves in symplectic 6-manifolds
                    
                  
                  
                  
                    报告人:Alexander Doan (Columbia University)      
 
                    时间:2019-12-17  10:00-11:00
  
                    地点:Room 1418, Sciences Building No. 1
                   
                  
                    Abstract: The number of embedded pseudo-holomorphic curves in a symplectic manifold typically depends on the choice of an almost complex structure on the manifold and so does not lead to a symplectic invariant. However, I will discuss two instances in which such naive counting does define a symplectic invariant, which turns out to be related to the Gopakumar-Vafa conjecture inspired by string theory. The talk is based on joint work with Thomas Walpuski.