P=W conjecture and Gopakumar-Vafa Invariants


Wu-Yen Chuang ( National Taiwan University )
2017-05-24  15:10 - 16:00
Room 101, Mathematics Research Center Building (ori. New Math. Bldg.)

In this talk we will introduce the ADHM sheaf theory as an alternative construction of the Pandharipande-Thomas theory on local curve geometries. We will then describe how the theory provides evidences for P=W conjecture and gives hints on the definition of Gopakumar-Vafa invariants.