Dear Marek,
I have got this mail from Finn and I will try to give you advice.
At VRs homepage, you will find instructions (Swedish) and application form regarding Travel grant.
Listed below have to follow the application.
1. Detailed motivation for the travel.
2. Personal invitation as a speaker at the conference. This is very important to be attached.
3. Curriculum vitae and a relevant list of publications . 
4. A short description for the purpose of the conference. 
5. List earlier participation in conferences or corresponding during the two last years.
I am looking forward to your application!
Sincerely yours,
Mona Berggren
Ms. Mona Berggren
Forskningsadministratör Vetenskapsrådet
The Swedish Research Council
S-103 78 Stockholm
Phone: +46 8 546 44 246
Facsimile: + 46 8 546 44 144
E-mail: mona.berggren(at)