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SUMMARY:Haruzo Hida (UCLA)
DTSTART:20231011T070000Z
DTEND:20231011T080000Z
DTSTAMP:20260423T024726Z
UID:PekiNT/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PekiNT/13/">
 Adjoint L-value formula and Period conjecture</a>\nby Haruzo Hida (UCLA) a
 s part of PKU/BICMR Number Theory Seminar\n\nLecture held in Room 77201\, 
 BICMR.\n\nAbstract\nFor a Hecke eigenform  $f$\, we state an adjoint L-val
 ue formula relative to each division quaternion algebra $D$  over  ${\\mat
 hbb Q}$  with discriminant  $\\partial$  and reduced norm $N$. A key to pr
 ove 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-Ka
 to conjecture is known\; so\, the formula is an adjoint Selmer class numbe
 r formula. We also describe how to relate the formula to a conjecture on p
 eriods of Shimura subvarieties of quaternionic Shimura varieties.\n\nZoom 
 number: 743 736 2326\n\nZoom password: 013049\n
LOCATION:https://researchseminars.org/talk/PekiNT/13/
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