# On the global Gan-Gross-Prasad conjecture for general spin groups

2019/05/24 Fri 13:30 - 14:30

3号館152号室

Melissa Emory

University of Toronto, 京大数学教室

We formulated a global Gan-Gross-Prasad conjecture for general spin groups. That is, we formulated a conjecture on a relation between periods of certain automorphic forms on $GSpin_{n+1} \times GSpin_n$ along the diagonal subgroup $GSpin_n$ and some L-values. To support the conjecture, we will discuss work that shows the conjecture holds for $n=2$ and $3$ and for certain cases for $n=4$.