Matej Bresar: The Waring Problem for noncommutative algebras

Let f = f(X_1,...,X_m) be a noncommutative polynomial and let A be an algebra. The Waring problem for A is to find a positive integer N such that, for any f, every element in the linear span of f(A) can be written as a linear combination of N elements from f(A) = {f(a_1, . . . , a_m)| a_1, . . . , a_m ∈ A}. We will consider this problem for different matrix algebras and also discuss its variations.

Zoom link:

https://us06web.zoom.us/j/88170589772?pwd=alKno1wb6whK00eKns7wzgezSDg3vi.1 

Meeting ID: 881 7058 9772
Passcode: 512995