List of upcoming events for a venue. Requires Event Espresso 4.

events_venue.php

<?php
//* Please do NOT include the opening php tag, except of course if you're starting with a blank file

function ee_list_upcoming_events_for_a_venue( $post ) {
    // query the events for this venue using EE_Venue's events() method
    $query_params = array( 
        'order_by' => 'Datetime.DTT_EVT_start',
        'order' => 'ASC',
        array( 
            'status' => 'publish', 
            'Datetime.DTT_EVT_start' => array( 
                '>', 
                date( current_time( 'mysql' ) ), 
                'Datetime.DTT_EVT_end' => array(
                    '<', 
                    date( current_time( 'mysql' ) )
                ) 
            )
        )
    );
    $events = EEH_Venue_View::get_venue( $post->ID )->events( $query_params );

    // start the output
    echo '<h3>Upcoming events at this venue</h3><ul>';
    // the loop
    foreach ( $events as $event ) {
        echo '<li>';
        echo '<a href="' . get_permalink( $event->get( 'EVT_ID' ) ) . '">' . $event->get( 'EVT_name' ) . '</a>';
        echo '</li>';
    }
    echo '</ul>';    
    // end the output
}

// next, add the above to an action found in the venue template
// you could instead use 'AHEE__content_espresso_venues_details_template__before_the_content' to put the list before the content
add_action( 'AHEE__content_espresso_venues_details_template__after_the_content', 'ee_list_upcoming_events_for_a_venue' );