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University of Cambridge > Talks.cam > The Archimedeans (CU Mathematical Society) > The geometry of field extensions

## The geometry of field extensionsAdd to your list(s) Download to your calendar using vCal - Diogo Vieira Alves da Fonseca
- Monday 25 February 2019, 20:10-20:30
- MR5, Centre for Mathematical Sciences.
If you have a question about this talk, please contact Valentin Hübner. There is a simple analogy between the algebraic theory of field extensions and the topological theory of covering spaces: this is particularly nice when we consider function fields over the complex numbers. In the first half of the talk I will try and exhibit this analogy with some examples that are easy to visualize; this should be accessible to most undergraduates and should show the motivation behind the study of Riemann Surfaces. In the second half, I will try to make this analogy more precise and talk about maps of Riemann surfaces; this will be more suitable for those who already have some basic knowledge of these ideas. This talk is part of the The Archimedeans (CU Mathematical Society) series. ## This talk is included in these lists:- Guy Emerson's list
- MR5, Centre for Mathematical Sciences
- The Archimedeans (CU Mathematical Society)
- bld31
- ob366-ai4er
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