The Conductr server uses Bonjour to announce its presence to the iPad(s) in the same network. Some wireless routers don’t allow Bonjour broadcasts between the wired and wireless network. This also happens with networked printers and similar devices.
If you are technically savvy and feel comfortable changing your router settings, you might try contacting your router vendor and/or searching the forums for this kind of problem (It usually manifests with wireless Mac OS clients not seeing wired printers on the network).
Typical settings names include "Enable Multicast Streams", "Enable IGMP Snooping" or the like, but every router is different, so you’ll have to figure out how to modify it, or contact your router’s support line.