There are already some very well thought through and inspirational comments available here, but i am happy to add my 2 satoshis nonetheless:
AI and blockchain are two megatrends, that certainly have a potential to reinforce and strengthen each other.
As for AI i think it's important, to look at what it does mean, as nowadays any complex decision making algorithm is called AI, because it's cool and it's catchy. AI in its proper sense means, that a software is made capable to evaluate the results of its prior decisions and include these results to adapt its decision making process. This requires incredibly complex structures and of course ressources and currently only a few really big players are able to really provide any relevant outcomes (Google, Apple, IBM)
Blockchain as a globally set up data-source and also target for an AI's operation is perfectly suitable for machine learning, and it can achieve operational excellence in fields like supplychain-management, financial-trading and autnomous driving, with results that surpass and even impress our imagination. But nevertheless AI will remain in the boundary of a logical framework set and intrinsically limited by human capability. So as much as machines will outcompete us in any operational task, strategical decision will always remain with humans, and here i think Vitalik is wrong in his hopes that AI will be able to solve something like blockchain governance.
Different from the story many dystopies tell us, the only negative effect of AI usage for man himself will be a laziness to utilize its own intelect, and deliberately leave decisions to machines.Thank you @crypto.piotr for inviting me to this special contest! The topic and structure of this contest are just amazing and superior to a lot out there, as it goes for quality.

A major obstacle for a fruitful integration of AI and blockchain tech is the centralisation aspect. Decentralisation is one of the main aspects and major benefits of blockchain tech. On the other end, as i've stated above, good AI is currently the property of really big players, who certainly have no interest in yielding their power to newcomers. So before AI/blockchain synergies can really be used on a broad scale, we will need to see a reconcilliation of these opposing forces.