Abstract: 

For a Hecke eigenform  $f$, we state an adjoint L-value formula relative to each division quaternion algebra  $D$  over  ${\mathbb Q}$  with discriminant  $\partial$  and reduced norm  $N$. A key to prove the formula is the theta correspondence for the quadratic $ {\mathbb Q} $-space  $(D,N)$. Under the $R=T$-theorem, the $p$-part of the Bloch-Kato conjecture is known; so, the formula is an adjoint Selmer class number formula.  We also describe how to relate the formula to a conjecture on periods of Shimura subvarieties of quaternionic Shimura varieties.

Time:

2023/10/11   15:00--17:00

Zoom number: 743 736 2326
Zoom password: 013049
Link: https://zoom.us/j/7437362326?pwd=UXd3RzBiUWZNK2Vhdm05R0c5VlJEUT09