This is an interesting recent case, in which the court declined to adjourn a high-value (c.£250m), evidence-heavy trial listed for 5 weeks in the Chancery Division.
Although there will still be some trials that must take place face-to-face, it now seems clear that the courts will - in the majority of cases, and even with heavyweight litigation - use online technology to avoid the need for lengthy adjournments during the current coronavirus crisis. Such trials will doubtless bring with them new challenges and will require parties to be both collaborative and adaptable. However, this may be a positive development in the longer term if they promote greater efficiency by increasing the effective use of online technology for some hearings, even after the crisis has passed.
The first judgment has now been reported on the effect of COVID-19 on a forthcoming trial. In Re One Blackfriars Ltd, Hyde v. Nygate  EWHC 845(Ch), John Kimbell QC, sitting as a Deputy High Court judge, refused to adjourn a trial due to start in June but ruled that it should proceed remotely by video-link.