Your abstract should be sent electronically as simple LaTeX or plain TeX. You may also use features from the amsmath, amsfonts, or amssymb packages; all other macros should be defined. Please do not redefine standard macros.

Send only body of your abstract, that is, the portion found between the

 \begin{document} 

and

\end{document} 

statements.

Please indicate your name and the title of your talk SEPARATELY from your abstract. If you are using an on-line registration form there are separate boxes for this information. If you are sending an e-mail you should clearly distinguish this information. For example, you could say in an e-mail.

Dear Program Coordinator,

Here is an abstract for my talk entitled "Some remarks on \(n\)-periodic morphisms."

[ include your abstract here ]

Sincerely,
Jane Smith
University of Nancago

If the abstract is from a paper with multiple authors, only one of whom is speaking, you can list the remaining author(s) by putting a sentence like "Joint work with ..." somewhere in your abstract.

Here is an example of an abstract in an acceptable format:

\newcommand{\g}{\mathfrak{g}}
Let \(S\) denote the set of all integers \(n\) for which \(n > 0\) and \[ \int_0^n x^n\, dx < 1/2 .\]

We will prove that every element of \(S\) is a counterexample to Wiles's Theorem. We relate this to the theory of isomorphisms \(\phi: \g \to \g\) where \(\g\) is a Lie algebra.

and here is how it will be rendered in our webpages and event materials:

Let \(S\) denote the set of all integers \(n\) for which \(n > 0\) and \[ \int_0^n x^n\, dx < 1/2 .\]

We will prove that every element of \(S\) is a counterexample to Wiles's Theorem. We relate this to the theory of isomorphisms \(\phi: \mathfrak g \to \mathfrak g\) where \(\mathfrak g\) is a Lie algebra.

Here are some examples of things that must not appear in your abstract:

1. Your name or the title of your talk. (Indicate these separately).
2. \documentclass, \documentstyle, \bye, \eject, \newpage, \title, \author, \section, \subsection
3. Commands to change margins or alter page numbering.
4. Headings. (For example, don't put an "Abstract" heading at the beginning).
5. Macro definitions that aren't used in your abstract. (In other words, please don't copy the entire macro definition section from your paper just because your abstract uses one of them).
6. Spacing commands such as \vfill, \medskip (except when really necessary), \noindent, etc.
7. Obsolete LaTeX 2.0.9 formatting commands such as \it, \rm, \bf, \em, \cal, \Bbb, \frak. These may still work, but we would prefer you to use the current LaTeX2e constructions: \textit{...}, \textrm{...}, \mathrm{...}, \textbf{...}, \mathbf{...}, \emph{...}, \mathcal{...}, \mathbb{...}, \mathfrak{...}, etc.

Here is a quick test you can make on your abstract:

1. Put this line at the beginning (with \usepackage{amsmath}\usepackage{amssymb} before the \begin{document} if your abstract uses these features):

\documentclass{article}\begin{document}

1. Put this line at the end:

\end{document}

1. Run latex on the resulting file. If you get errors when you do this, your abstract is not in an acceptable format.

Remember that these additional lines are only for the test. Do not include them in the abstract you submit.

ANY ABSTRACT FAILING THIS TEST WILL BE RETURNED TO THE AUTHOR FOR RE-SUBMISSION.