If you are a Citizen of one of the following countries (including many EU countries), then the Steklov institute will issue a simplified invitation letter. This means that: You do not have to submit a copy of your passport; You will receive an invitation letter faster than in general. The letter looks like this.
Austria
Belgium
Bulgaria
Cyprus
Czech Republic
Denmark
Estonia
Finland
France
Germany
Greece
Hungary
India
Italy
Latvia
Lithuania
Luxembourg
Malta
Netherlands
Norway
Poland
Portugal
Romania
Slovakia
Slovenia
Spain
Sweden
Switzerland
Otherwise, you have to apply for a regular visa invitation letter. The letter looks like this.