Differential Geometry Working Seminar

Wednesday, July 31, 2024 1:00 pm - 2:15 pm EDT (GMT -04:00)

Utkarsh Bajaj

An introduction to the Mckay correspondence

The McKay correspondence is a bijection between the finite subgroups of SL(2,C) and the Dynkin diagrams of the type  A_r, D_r, E_6, E_7, E_8. One bijection takes a subgroup G, constructs the orbit space C^2/G, resolves the singularities by inserting Riemann spheres multiple times, sees how the spheres intersect, and then constructs a graph to represent this information. Another bijection constructs irreducible representations of G. We will see how these bijections are related.

MC 5417