The geometry of field extensions

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• 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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