Friday February 08, 2019 10:00 AM - 11:00 AM Math Tower 5-127

Sasha Viktorova, Stony Brook University The Betti Groupoid

TBA

Friday February 15, 2019 10:00 AM - 11:00 AM Math Tower 5-127

Shamuel Auyeung, Stony Brook University The de Rham Groupoid

In this talk, we will define the de Rham groupoid, which involves flat connections on a smooth complex line bundle over a Riemann surface. We will then discuss how the notion of holonomy relates the de Rham groupoid to the Betti groupoid.

Friday February 22, 2019 10:00 AM - 11:00 AM Math Tower 5-127

Lisa Marquand, Stony Brook University The Dolbeault Groupoid

In this talk, we define the Dolbeault groupoid of rank one Higgs bundles over a compact Riemann surface. We will explain how harmonic metrics relate the de Rham groupoid to the Dolbeault groupoid.