Speaking during the Torah reading
Question
Shalom Rav.
Is it permitted, between the aliyot to the Torah, to speak with someone about learning (whether it is about the weekly portion or other words of Torah that are not connected to the reading)?
Answer
Shalom u’vracha.
It is forbidden to speak between one person called up and the next, whether about words of Torah or about other matters.
The exception is a brief halachic ruling that is permitted.
Source
Shulchan Aruch, Orach Chaim, siman 146, se’if 2
It is forbidden to converse even with words of Torah, even between one person called up and the next.
Mishnah Berurah, siman 146, se’if katan 6
However, to issue a temporary practical halachic ruling, one should not be stringent, for it is not so common in this matter that it will lead to extended conversation.