Abstract: We present several results on the Anick conjecture which asserts that the lower bound for the Hilbert series, known as the Golod-Shafarevich estimate is attained on generic quadratic algebras. The technique (due to Anick), allowing to write down precisely the formula for the Hilbert series will be demonstrated. We will discuss also related questions of Koszulity and being a noncommutative complete intersection (NCCI).
Location: HERB TR3
Date/Time: 10th May 2012, 14:30
Published: 2nd May 2012