100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Rufus Lawrence

Two perspectives on Hurwitz' Theorem
Jeudi, 10 Février, 2022 - 17:00 à 18:00
Résumé : 

Given a map of Riemann surfaces, Hurwitz theorem relates the genera of the two surfaces to the degree of the map and its 'ramification'. In this talk I will explain these concepts in more detail, approaching the problem from the perspective of complex analysis and topology. In the second half of the talk I will describe a more algebraic approach in terms of line bundles, and attempt to explain why the two approaches are essentially equivalent.

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