# Events for 04/21/2021 from all calendars

## Groups and Dynamics Seminar

**Time: ** 12:00PM - 1:00PM

**Location: ** online

**Speaker: **Markus Steenbock, University of Vienna

**Title: **

## Topology Seminar

**Time: ** 3:00PM - 4:00PM

**Location: ** Zoom

**Speaker: **Siqi He, Simons Center for Geometry and Physics, Stony Brook University

**Title: ***The Hitchin-Simpson equations over Kahler manifold*

**Abstract: **The Hitchin-Simpson equations defined over a K\"ahler manifold are first order, non-linear equations for a pair of a connection on a Hermitian vector bundle and a 1-form with values in the endomorphism bundle. We will describe the behavior of solutions to the Hitchin–Simpson equations with norms of these 1-forms unbounded. We will talk about two applications of this compactness theorem, one is the realization problem of the Taubes' Z2 harmonic 1-form and another is the Hitchin's WKB problem in higher dimensional. We will also discuss the relationship between the analytic compactification and the algebraic compactification.