"lie over" can be replaced with several synonyms, including "postpone," "delay," "defer," or "put off." These words all suggest that something has been planned or scheduled but needs to be held off for a later time. "Reschedule" and "prolong" are also suitable alternatives, indicating a change in timing or extension of a previously fixed period. Additionally, the phrase "adjourn to" can also be used, indicating a decision to pause or move an activity to a later time or location. All of these synonyms add professionalism and nuance to communication by indicating the level of engagement and commitment in a particular task.