Complex orientations and Tate fixed-points

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• Kiran Luecke (University of Illinois at Urbana-Champaign)
• Friday 20 June 2025, 10:15-11:15
• Seminar Room 1, Newton Institute.

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EHTW04 - Beyond the telescope conjecture

I will present a joint work with Shachar Carmeli dedicated to the construction of E_infty complex orientations for commutative ring spectra obtained from complex oriented ones via S^1 Tate fixed-points. Among other things, this construction provides a spectral lift of the total Chern class, originally constructed by Lawson and Michelson using the theory of algebraic cycles. It also gives E_infty refinements of some well-known complex orientations such as the Jacobi orientation of Ando-French-Ganter.  

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

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