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The Republic of Turkey Ministry of Foreign Affairs (MFA) outlines two categories which match with your plans, Tourist and Student.
Among the activities permitted on a Tourist visa are conference, seminar, meeting; a two-week workshop fits within that category. The Student-Education visa has a more rigorous process, such as a letter of enrollment from the relevant higher education institution, proof of funds for a living in Turkey (bank account, scholarship document), etc.
Another key difference: an e-visa is available for tourists, students requires consular application and interview. Absent additional information from you, whether the two-week workshop is organized by a university of which you are a student or intern, it is more likely that you would want a Tourist visa.
Again, the MFA describes what to do:
Visa Information For Foreigners
β’ The Electronic Visa (e-Visa) Application System was launched on 17 April 2013 by the Ministry of Foreign Affairs of the Republic of Turkey. This system allows visitors travelling to Turkey to easily obtain their e-Visas online (www.evisa.gov.tr), in approximately three minutes.
Applicants just need to log on to www.evisa.gov.tr, provide the requested information, (after the application is approved) make online payment and download their e-Visa.
β’ Please note that e-visa is only valid when the purpose of travel is tourism or commerce. Other purposes, such as work and study, require regular visa given by Embassies or Consulates.