I am doing a report on modern society connections for Hepheastus. Can you help me?
This sounds like an interesting assignment, and although you don't give much details, I'll try to help. The first thing you will probably want to do is to make a list of the deity's characteristics and then try and find modern equivalents or connections.
Hephaestus was the Greek god of the forge. He suffered from a physical deformity, but he was able to make weapons of great power and strength. Hephaestus was married to Aphrodite, the goddess of love and was the father of Pandora, the girl who opened the box containing all the ills of the world and let them out.
Of course, any mention of weapons might make one think instantly of war and battle, of which there are many modern connections. However, consider that Hephaestus never actually fought. Rather, he was an artist. In fact, he was the opposite of Ares, the god of war and Aphrodite's lover. Whereas Ares destroyed, Hephaestus created. His physical deformity also set him apart from the other perfect gods and goddesses, so you could make connections to modern day artists with disabilities.
I hope this helps. Good luck with your assignment.
Hephaestus -- in his Roman incarnation, Vulcan -- is, metaphorically speaking, the patron god of the city of Birmingham, Alabama. (See the link below.) The connection in this case has to do neither with warfare nor with artistry but with the importance of iron ore to the early economy of Birmingham.
Maybe you can use this example or find others that might suit your topic even more perfectly. You might look at movies and video games, for example. In the strategy computer game Dominions III, for example, there's a figure called the Forge Lord who is clearly modeled on the Greek deity (deformity and all).