# the remnant of men may seek the Lord

This speaks about people wanting to obey God and learn more about him as if they were literally looking for him.

# remnant of men

"remnant of people"

# may seek the Lord

"may seek me, the Lord" 

# including all the Gentiles called by my name

"including all the Gentiles who belong to me" 

# my name

Here "my name" stands for God.