Hi Richard,
Thanks for reaching out! While we don’t offer a built-in method for assigning specific templates to certain categories, this is certainly something that could be achieved by way of customizations! This thread is several years old and was written with a much earlier version of The Events Calendar in mind, but the basic method behind constructing this type of setup should be mostly unchanged! I’d suggest pairing these suggestions with the information in our Themer’s Guide to craft something that’s suitable for your needs and compatible with the latest versions of our plugins. 🙂
I hope that helps to get you started! Thanks again, and let us know if you should have any other questions!