Power operations on homology with twisted coefficients

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Event details

Date 27.11.2018
Hour 10:1511:15
Speaker Calista Bernard
Location
Category Conferences - Seminars

The structure of an E_n algebra on a space X gives rise to power operations on the homology of X generated by the so-called Dyer-Lashof-Kudo-Araki operations and a Browder bracket. This proves very useful for calculations; however, these operations are only defined for ordinary mod p homology, and in many instances, it is desirable to have an analogue of these operations for homology with twisted coefficients. In this talk I will give an overview of these operations for untwisted mod p homology, followed by a description of ongoing work constructing similar operations on the homology of E_2 algebras with certain twisted coefficient systems.

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