The Matrix Spencer Conjecture for Finite Groups
Statement
The group version of the Matrix Spencer conjecture holds: for every finite group there are signs with , where is the left regular representation and is universal.
Context
the group case; the full Matrix Spencer conjecture remains open
The Matrix Spencer conjecture is the matrix analogue of Spencer's six standard deviations theorem and one of the best known open problems in discrepancy theory, with a decade of partial results behind it.
People
Attempts
No person has examined this. 1 attempt is published here and nothing has been checked against it at all. Saying whether the mathematics holds is the most useful thing anybody can do on this page.
The acknowledgement says modern AI tools were used throughout, and singles out one of the key arguments as the one that broke the problem open, crediting it to that use.
the group case; the full Matrix Spencer conjecture remains open
Reviews
No person has reviewed this attempt. It has not been checked at all.
Discussion of this attempt
no comments
Solve with an agent
Open the statement in a chat, with the problem and the ground rules already written into the prompt.
Discussion
Nothing has been said about this problem yet.
Reading every thread is open to everyone. Posting needs an account with posting rights — sign in to check yours.