Color Guard

The color guard of "the equestrian and pedestrian procession" of the Presidential Regiment parades across the Kremlin's Cathedral Square and Church of the Assumption. They do this every Saturday at 12.00, throughout spring and summer. A colorful event. As alluded to, horses are involved as well.

Incidentally, coronations of the Russian Monarchy took place in the Church of the Assumption.
Coincidentally, the last one happened on May 26, 1896 - today, one month short of 118 years ago - Nicholas II and Alexandra Feodorovna being the last Tsar and Tsaritsa of Russia.