University of Cambridge > Talks.cam > Number Theory Seminar > Explicit local reciprocity for tame extensions

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

Explicit local reciprocity for tame extensions

Download to your calendar using vCal

If you have a question about this talk, please contact nobody.

I will take the old-fashioned approach and develop a definition of the local reciprocity map using cyclic algebras. Along the way, I will introduce the Brauer group (which classifies central simple algebras) and define the Hasse invariant.

I will consider a tamely ramified abelian extension of local fields of degree n, without assuming the presence of the n th roots of unity in the base field. I will give an explicit formula which computes the local reciprocity map in this situation.

This talk should be accessible to anyone who has encountered extensions of local fields.

This talk is part of the Number Theory Seminar series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

W2.01, Judge Business School, Trumpington Street, Cambridge CB2 1AG Primrose Room, Microsoft Research Cambridge Old Divinity School, St Johns Street, Cambridge

Other talks

Online Causal Inference Semina Title to be confirmed Title to be confirmed Neighbourhoods as Thorny Matters: A Qualitative Analysis of How Local Conditions Shape Mental Health and Everyday Life in Palestine Spectral rigidity of random covers of compact hyperbolic surfaces Title to be confirmed
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity