Reply To: Split: Chidushim on Daf Yomi

שבת י,א

How to dress for davenen? A person should recognize that by shmonei esrei he is standing in front of Hashem, the King of Kings.
Therefore, he should dress the way he would dress in front of a Jewish king. He should wear a hat and a jacket. See MB O’CH 91 s’k 12. The MB O’CH 8,4 also quotes the Bach that one should cover his head with the talis for the whole davenen because this brings to humility and kavono as he is not so distracted and yiras shomayim.
Certainly the shliach tzibur should follow the majority of the mispalelim as he is their representative. The shul can set rules for the requirement for the shliach tzibur.

The tur in the beginning of CM explains that the judges by judging correctly keep up the world as the world stands on justice. The GRA explains that the judgement has two parts one, correct judgement according to their argument and two making sure that their are consistent and they are not lying by being familiar with worldly knowledge.