## EVENT DETAILS AND ABSTRACT

**Analysis Seminar**
**Title:** Prescribed Ricci Flow on a Solid Torus

**Speaker:** Artem Pulemotov

**Speaker Info:** University of Chicago

**Brief Description:**

**Special Note**:

**Abstract:**

We will discuss the prescribed Ricci curvature equation
$\mathrm{Ric}(G)=T$ on a solid torus $\mathcal T$ under natural
boundary conditions. The unknown $G$ here is a Riemannian metric.
The letter $T$ in the right-hand side denotes a (0,2)-tensor on
$\mathcal T$. We will assume $T$ is nondegenerate (in fact, even a
lighter assumption would suffice). Our goal will then be to settle
the questions of the existence and the uniqueness of solutions in
the class of rotationally symmetric Riemannian metrics on a
neighborhood of the boundary of $\mathcal T$.
\end{document}

**Date:** Monday, May 14, 2012

**Time:** 4:10pm

**Where:** Lunt 105

**Contact Person:** Prof. Jared Wunsch

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

**Contact Phone:** 847-491-5580

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