This position paper describes research interests of the author (semantic structure comprehension in multimodal dialogue environments), his point of view on Spoken Dialogue System research that a new wave is to be carried out for coexistence with LLMs, and discussion topic proposals. Those three topics are as follows: 1) How to keep up with, or manipulate LLM for academia research, 2) How representational languages for semantic structural information could be used in this new era, and 3) how to deal with disambiguating the user’s language during the actual dialogue scenario.