Parallel domains with applications

Seminar: 
Geometry & Topology
Event time: 
Tuesday, November 3, 2026 - 4:00pm
Location: 
KT 201
Speaker: 
Joaquín Lema
Speaker affiliation: 
Boston College
Event description: 

Given a positive triple of flags in R^3, we construct a canonical domain in the symmetric space of SL_3 (R) associated with this triple, in analogy with how we associate an ideal triangle to three points on the boundary of the hyperbolic plane. I will then explain how we can use them to study the Hitchin component of the orbifold associated with the reflection group along an ideal triangle in H^2. If time permits, we will discuss the case of closed surfaces or variations of the construction for other Lie groups. This is joint work with Joaquín Lejtreger.