\documentclass[11pt]{article}
\usepackage[letterpaper, left=1in, top=1in, bottom=1in, right=1in]{geometry}
\usepackage{verbatim}
\setlength{\parindent}{0in}
\pagestyle{empty}
\begin{document}
\vspace{\fill}
\begin{center}\LARGE
\textsc{Algebra}
\par
\textsc{Seminar}
\end{center}
\vspace{\fill}
\begin{center}\LARGE
\textit{Ramification in bad characteristics}
\end{center}
\vspace{\fill}
\begin{center}\Large
David Saltman\par
Center for Communications Research, Princeton
\end{center}
\vspace{\fill}
\textbf{Abstract:} Let $C$ be a curve over a $p-$adic field $F$ and $K = F(C)$.
For division algebras of exponent prime to $p$, it is known that index divides the square of the exponent and division algebras of prime degree are cyclic. Both results avoid the prime $p$ because in that case there is no good theory of ramification of Brauer group elements.  However, one can try and avoid this obstacle by defining the ramification group of a discrete valued field $K$ with valuation ring $R$ as the quotient of Brauer groups $Br(K)/Br(R)$ and then study the functorial properties of this quotient. One is then led to the complete case and to consider the paper ``A generalization of local class field theory by using K groups I'' by Kazuya Kato (J Fac Sci Sec. IA 26, 2 303-376).  We will discuss the progress we have made on this problem using Kato's work.\vspace{\fill}
\begin{center}\Large
Tuesday, April 7, 2009, 4:00 pm\par
Mathematics and Science Center: W303
\end{center}
\vspace{\fill}
\begin{center}\Large

\end{center}
\vspace{\fill}
\begin{center}\LARGE
\textsc{Mathematics and Computer Science}\par
\textsc{Emory University}
\end{center}
\end{document}