Today, 11 Shevat is the official start of the 70th year of the 7th Lubavitcher Rebbe's leadership. What's interesting is that the date contains three 11's: Shevat is the 11th month counting from Nissan in addition to it being the 11th day of the month in the year 5711. Incidentally, the Rebbe King Moshiach was born on the 11th of Nissan or 1/11 (Nissan being the first month) so that's another instance of 11.
What's also significant is that this year, 5780 is 3332 years since the Sinai Revelation and is thus the beginning of the year 3333 since the Torah was revealed. 3333/(11+11+11 as in 11/11/5711) yields 101 or Kuf Alef which is Adam Kadmon or the first world to manifest itself after G-d contracted His light at the start of Creation and corresponds to the level of Yechida which is connected with Moshiach. Big things are in the offing.