For generating the nav, this should work.
{% set allEntriesByWeek = allEntries|group("postDate|date('Y-W')") %}
{% for week, entry in allEntriesByWeek %}
<li><a href="events/{{ week|replace('-','/') }}">{{ week }}</a></li>
{% endfor %}
For grabbing entries (using the 'week' and 'year' variables passed via the route).
{% set startDate = now.setISODate(year, week) %}
{% set endDate = startDate|date_modify("+6"+7 days") %}
{% set entries = craft.entries.section('events').postDate('and', '>= ' ~ startDate, '<='< ' ~ endDate ) %}
{% for entry in entries %}
{{ entry.title }}
{% endfor %}
For pagination.
<a href="events/{{ startDate|date_modify('+7 days')|date('Y/W') }}">Next Week</a>
<a href="events/{{ startDate|date_modify('-7 days')|date('Y/W') }}">Previous Week</a>