@ Michael - yes that tutorial is great for creating loops with some posts in full, some as titles, basically degrading the size of the post. And I think it can be adapted to several other uses, including pulling specific categories. :-)
@ Zaphieonx + @ therizone - To have a page display one single category, the regular loop way, I have done it by creating a template and using the following
<?php if(have_posts()) : ?>
<?php
if (is_page()) {
query_posts("cat=3");
}
?>
<?php while(have_posts()) : the_post(); ?>
For the home page, I think it would work with
if (is_home()) instead of if (is_page())
Of course, you use the appropriate category number for your "current events" category. See it this works for you, unless you need the posts to degrade, or include other loops, as per the link Michael gave you.