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FIELD Math:Geometry
DATE October 14 (Thu), 2021
TIME 16:30-17:30
PLACE Online
SPEAKER Tasuki Kinjo
HOST Kim, Bumsig
INSTITUTE Univ. of Tokyo
TITLE Virtual classes via vanishing cycles
ABSTRACT

For a quasi-smooth derived scheme, Behrend-Fantechi and Li-Tian constructed its virtual fundamental class which plays a very important role in enumerative geometry. In this talk, I will explain a new construction of the virtual fundamental class via the perverse sheaf of vanishing cycles on the -1-shifted cotangent space. If time permits, I will discuss a similar conjectural approach to the DT4 virtual class.

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