My thesis work so far been a study of motivic fundamental classes,following the paper [DJK]. I plan to apply this and other methods to the study of characteristic classes of a number of geometric objects, such as hyperplane arrangements.

References

[DJK] F. Déglise, F. Jin, A.A. Khan, Fundamental classes in motivic homotopy theory https://arxiv.org/abs/1805.05920

 

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