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Bott’s residue formula in A1-enumerative geometry

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KAH2 - K-theory, algebraic cycles and motivic homotopy theory

In their celebrated work Ellingsrud and Strømme used Bott’s residue formula to count the number of twisted cubics on a complete intersection variety. Recently, Marc Levine found a quadratic version of Bott’s residue formula. In the talk I will recall both the classical and the quadratic version and explain how one can use it to attack problems in A1-enumerative geometry. If time permits, I will present joint work with Marc Levine, namely a quadratic enrichment of Ellingsrud and Strømme’s count of twisted cubics.

This talk is part of the Isaac Newton Institute Seminar Series series.

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