"Mom", "Dad", "I prefer pi", and " A man, a plan, a canal — Panama" are palindromes — they can be read form left to right and vice versa. Analogously, a polynomial is palindromic if its sequence of coefficients is the same in both directions (i.e., $2x^4 + 7x^3 + 5x^2 + 7x + 2$). In just a few more small steps, we get to palindromic matrix polynomials and their corresponding eigenvalue problems. The talk will be on palindromic eigenvalue problems: their introduction, where they arise, their properties and suitable algorithms.