About Matrix Matrix is an open protocol for decentralised, secure communications.
Matrix Manifesto We believe:
People should have full control over their own communication. People should not be locked into centralised communication silos, but instead be free to pick who they choose to host their communication without limiting who they can reach. The ability to converse securely and privately is a basic human right. Communication should be available to everyone as a free and open, unencumbered, standard and global network.
synapse is the first and most used server implementation written in python, conduit is a HS imp written in rust not by the matrix.org team so synapse isnt being rewritten in rust, some bits are being rustified but not much it seems, there is dendrite which was originally meant to replace synapse as the HS imp to scale really well, but they they changed the priorities for that to p2p and small instances
Thanks for clarifying