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Details of talk

TitleAlgebraic elliptic cohomology and flops
PresenterYaping Yang (The University of Melbourne)
Author(s)Marc Levine, Yaping Yang, Gufang Zhao
SessionCategory Theory, Algebraic Topology, K-Theory
Time17:30:00 2017-12-13

I will talk about the algebraic elliptic cohomology theory coming from
Krichever's elliptic genus. It is an oriented cohomology theory on smooth
varieties over an arbitrary perfect field. We show that in the algebraic
cobordism ring with rational coefficients, the ideal generated by differences of
classical flops coincides with the kernel of Krichever's elliptic genus. This
generalizes a theorem of Totaro in the complex analytic setting. I will also
discuss the convergence of the motivic Adams spectral sequence, which is
relevant to the integral version of the above theorem.  

This talk is based on my joint work with Marc Levine and Gufang Zhao.