This week's seminars
Geometry and Topology Seminar: Free algebras of Hilbert automorphic forms
27 June 2018 11:00 in CM221
Let d>0 be a square-free integer and L_d be the Hilbert lattice, i.e. the even lattice of signature (2,2), corresponding to the ring of integers of the real quadratic field Q(\sqrt(d)). Consider the group \Gamma which is a finite index subgroup of O^+(L_d) generated by reflections and containing -id, and let A(\Gamma) be the algebra of \Gamma-automorphic forms. We study for which values of d the algebra A(\Gamma) can be free.