Event Type:

Geometry-Topology Seminar

Date/Time:

Monday, June 1, 2015 - 12:00 to 13:00

Location:

Gilk 115

Guest Speaker:

Charles Camacho

Institution:

Graduate Student.

Abstract:

Launched by Alexander Grothendieck in the 1980s, the modern theory of dessins d'enfants (children's drawings) provides a geometric illustration of the absolute Galois group. One of the most important results in this theory is that the action of the absolute Galois group via conjugation is faithful on dessins of genus g. We look at a sketch of the proof for dessins of genus 0 on the Riemann sphere. We will also look at some examples of plane trees, their corresponding Belyi functions, and some full Galois orbits.