APS
Speaker: Lal Bahadur Sahu, IIT Bombay
Host: Sandip Singh
Title: Some infinite families of arithmetic symplectic hypergeometric groups.
Time, day and date: 10:00:00 AM – 11:00:00 AM, Tuesday, September 29
Venue: Room 215
Abstract: In this talk, we construct some of the very first examples of infinite families of arithmetic symplectic hypergeometric groups that do NOT satisfy the arithmeticity criterion of Singh and Venkataramana.
For example, we show that the hypergeometric groups associated to the pairs of polynomials $(x-1)^4P_m(x^{9})$ and $(x^4+x^3+2x^2+x+1)Q_m(x^{9})$, where $P_m$ and $Q_m$ are integral polynomials of degree $2m$ such that the corresponding pair determines a Zariski dense symplectic hypergeometric group, are arithmetic in $\Sp(18m+4)$ for any integer $m\in\N$.