https://en.wiktionary.org/wiki/%D1%8...%D0%BE#Russian
https://en.wiktionary.org/wiki/-%D1%82%D0%BE


At the heart, it is the word "that" то with the added particle -то, which emphasizes the affected word's importance for the sentence. (it also has other uses)

Ну я-то не ста́ну туда́ ходи́ть. ― Well, there's no chance I'm going there, anyway.

Об э́том-то я и хоте́л с ва́ми поговори́ть. ― That is precisely what I wanted to talk to you about.