COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Junior Algebra/Logic/Number Theory seminar > Higher Class Field Theory in Positive Characteristic

## Higher Class Field Theory in Positive CharacteristicAdd to your list(s) Download to your calendar using vCal - Kirsty Syder (University of Nottingham)
- Friday 10 February 2012, 14:00-15:00
- MR3.
If you have a question about this talk, please contact Jonathan Nelson. Class field theory aims to classify the abelian extensions of a field. Higher class field theory studies the abelian extensions of fields arising from structures in algebraic geometry. The talk begins with a discussion of the basics of classical class field theory, then defines higher local fields, with several basic examples. We will see how to construct a reciprocity map for wildly ramified extensions for higher local fields of positive characteristic using Parshin’s Witt vector pairing, and how this may be applied to the class field theory of schemes over finite fields. This talk is part of the Junior Algebra/Logic/Number Theory seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Interested Talks
- Junior Algebra/Logic/Number Theory seminar
- MR3
- School of Physical Sciences
- bld31
- ndb35's list
Note that ex-directory lists are not shown. |
## Other listsWinton Centre for Risk and Evidence Communication Speaker What IS the deal with meat? Biology## Other talksCambridge-Lausanne Workshop 2018 - Day 2 Observation of photon antibunching from a potential SAW-driven single-photon source Quotation and the Law What constitutes 'discrimination' in everyday talk? Argumentative lines and the social representations of discrimination Aromatic foldamers: mastering molecular shape |