University of Cambridge > > Junior Algebra and Number Theory seminar > The Local Reciprocity Map

The Local Reciprocity Map

Add to your list(s) Download to your calendar using vCal

  • UserRachel Newton
  • ClockMonday 18 May 2009, 16:00-17:00
  • HouseMR13, CMS.

If you have a question about this talk, please contact Anton Evseev.

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

I will describe the cases in which an explicit formula has been found for the local reciprocity map and try to explain why this is difficult in general for totally ramified extensions.

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

This talk is part of the Junior Algebra and 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.


© 2006-2023, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity