Hm, the "My Events" filter is supposed to filter events that you created and joined. Removing this could jeopardize the user's flow eh?
Anyhow, if you want to remove it, edit the file /components/com_easysocial/themes/wireframe/events/default/default.php and remove the codes below at line 65,
<li class="o-tabs__item has-notice <?php echo $filter == 'mine' ? 'active' : ''; ?>" data-filter-item data-type="mine">
<a href="<?php echo ES::event()->getFilterPermalink(array('filter' => 'mine', 'cluster' => $cluster)); ?>"
title="<?php echo JText::_('COM_EASYSOCIAL_PAGE_TITLE_EVENTS_FILTER_MINE', true); ?>"
class="o-tabs__link">
<?php echo JText::_('COM_EASYSOCIAL_EVENTS_FILTER_MINE'); ?>
</a>
<span class="o-tabs__bubble" data-counter><?php echo $counters->created; ?></span>
<div class="o-loader o-loader--sm"></div>
</li>
Alternatively, you can update the translation string for COM_EASYSOCIAL_EVENTS_FILTER_MINE if you do not want to remove it altogether.