Event Detail

Event Type: 
Geometry-Topology Seminar
Monday, April 18, 2016 - 12:00 to 13:00
Gilkey 113

Speaker Info

Graduate Student

In his 'Sketch of a Program,' Alexander Grothendieck describes a particular combinatorial structure, which he calls a dessin d'enfant (French for a child's drawing), embedded on a compact Riemann surface. These are finite, bipartite graphs with corresponding Belyi functions acting on the surface as a ramified cover of the Riemann sphere. In this talk, we will describe the main tools in Riemann surface theory and discuss the role of the dessin d'enfant in understanding the (currently unknown) structure of the absolute Galois group.