Example of how to output all upcoming events linked to a person.

content-espresso_people-details.php

<?php
/**
 * Template file to add extra content to a single person display
 * Note: To customize, just copy the template from /public/templates/* and put in your theme folder.
 * @since 1.0.0
 * @package EE People Addon
 * @subpackage  template
 * @author Darren Ethier
 */
global $post;

$where = array(
    'Person_Post.PER_ID' => $post->ID,
    'Person_Post.OBJ_type' => 'Event',
    'Datetime.DTT_EVT_end' => array('>=', EEM_Datetime::instance()->current_time_for_query('DTT_EVT_end'))
);
$events = EEM_Event::instance()->get_all(
    array(
        $where,
        'order_by' => array('Datetime.DTT_EVT_start' => 'ASC')
    )
);
?>
<div class="eea-people-addon-person-events-container">
    <?php if ($events) : ?>
    <h3><?php _e('Events this person is involved with:', 'event_espresso'); ?></h3>
        <div class="eea-people-addon-people-type-container">
            <ul class="eea-people-addon-event-list-ul">
                <?php foreach ($events as $event) : ?>
                    <li>
                        <a class="eea-people-addon-link-to-event" href="<?php echo get_permalink($event->ID()); ?>" title="<?php printf(__('Click here to view more info about %s', 'event_espresso'), $event->name()); ?>"><span class="eea-people-addon-event-name"><?php echo $event->name(); ?></span></a>
                    </li>
                <?php endforeach; ?>
            </ul>
        </div>
    <?php endif; ?>
</div>