Thin-film electronics would probably be the starting point. As far as I can tell, that industry is very concentrated on display, solar and "gimmick" electronics (think electronic tamper seals or marketing strategies.)

To make this device, you'd need: - A battery breakthrough (hard) - Flexible OLED and peripherals (easier) - Flexible chips (hard but optional) - High power efficiency or microfluidic cooling (hard depending on thickness.)

Depending on where you let the device be folded, if you had a small enough SoC, you could protect it from bending and hide it in the panel sections that don't have a seam. The trickier bit is raw power and thermals, which will be the bottleneck for the next few years.