First, I will briefly remind everyone about omega-categorical structures in the classical world. Currently, my interests are related to some specific types of such structures, so, please, expect a lot of examples and not so many formal definitions.

Secondly, I will try to introduce everyone to omega-categorical structures in the metric world. I am an absolute beginner here, so, again, expect the prevalence of examples!

Note for experts: Don't expect a lecture on different topologies in model theory, I want to shortcut via metric Ryll-Nardzewski theorem.