Terms (tags categories) (category)

created_(taxonomy)

Fires after a term (taxonomy item) is added.

edited_(taxonomy)

Fires after a term (category or other taxonomy item) has been updated and its cache cleared.

get_terms_orderby

Filters the part of the SQL query responsible for the sorting column in get_terms(), get_categories(), wp_list_categories().

pre_insert_term

Allows you to change a term name (category or tag) before it is sanitized and inserted into the database.

register_taxonomy_args

Allows you to change the arguments specified when registering a taxonomy.

single_cat_title

Allows you to change the title of a category archive page.

taxonomy_labels_(taxonomy)

Allows you to change the labels (headings) of a specified taxonomy, such as categories or tags.

term_updated_messages

Allows you to change messages displayed when terms (categories, tags, and so on) are handled on their creation and editing pages.

the_category

Allows changing a category or the formatted list of post categories.

update_post_term_count_statuses

Allows you to change the list of post statuses included when updating taxonomy term counts.