Here "your coming" refers to when Jesus will come in power, establishing God's reign on earth and bringing this age to an end. AT: "What will be the sign that you are about to come and that the world is about to end?" (See: [[rc://en/ta/man/translate/figs-explicit]])
"Be careful that you do not believe anyone who lies to you about these things"
# many will come in my name
Here "name" refers to "in the authority" or "as the representative" of someone. AT: "many will claim that they have come as my representative" or "many will say they speak for me" (See: [[rc://en/ta/man/translate/figs-metonymy]])