University of Birmingham > Talks@bham > Geometry and Mathematical Physics seminar > Enumerative invariants from cuspidal curves

Enumerative invariants from cuspidal curves

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If you have a question about this talk, please contact Andrea Brini.

Enumerative geometry deals with the study of counting problems in geometric spaces. Example questions are:

“How many conics are there through 5 points in the plane?”

“How many lines are there on a cubic surface?”

“How many curves are there on a quintic threefold?”

A powerful tool to study enumerative problems is given by Gromov—Witten invariants. These are supposed to give answers to enumerative problems, but in this talk, I will show that this expectation is actually wrong. I will instead introduce “reduced” invariants from cuspidal curves, which are more enumerative, and I will discuss a relation between standard and reduced Gromov—Witten invariants.

This talk is part of the Geometry and Mathematical Physics seminar series.

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