EVENT DETAILS AND ABSTRACT

Title: Connections with a small parameter on a curve
Speaker: Dmirty Arinkin
Speaker Info: Harvard University and University of Chicago
Brief Description:
Special Note:
Abstract:

We consider the problem of formal classification of $\lambda$-connections ("differential operators of the form $\lambda\frac{d}{dx}+f(x)$") on a curve when $\lambda$ is small. If $\lambda=0$, $\lambda$-connections are just Higgs bundles, and so they can be classified using spectral covers. Thus we get an explicit description of the moduli space of Higgs bundles (Hitchin fibration). In this talk, we explain how to adapt this construction to connections with a small parameter, assuming some generic position conditions.