The speaker from Allotropia GmbH presented their work with WebAssembly and M-scripten technology in running Collabora Online and headless conversion stuff. They discussed the use of M-scripten to compile C and C++ code into WebAssembly, the challenges of building Collabora Online in WebAssembly, and their work on headless conversion using LibreOffice core. They also mentioned future plans to call API functions from JavaScript and improve UI.