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 <?php
                            $term = get_term_by( 'slug', get_query_var( 'term' ), get_query_var( 'taxonomy' ) );
                            echo $term->name; // will show the name
                            echo $term->slug;
                            ?>

<?php
                                $terms = get_the_terms( $post->ID, 'event_category' );
                                foreach($terms as $term) {}
                                ?>

                                <span class="label label-blue"><?php echo $term->name; ?></span>