## EVENT DETAILS AND ABSTRACT

**Algebra Seminar**
**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.

**Date:** Tuesday, January 16, 2001

**Time:** 4:00pm

**Where:** Lunt 104

**Contact Person:** Misha Grinberg

**Contact email:** grinberg@math.northwestern.edu

**Contact Phone:** 847-491-5567

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