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

Explicit local reciprocity for tame extensions

Add to your list(s) 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.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2021 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity