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SUMMARY:Han-Ung Kufner (Universität Regensburg)
DTSTART:20250219T160000Z
DTEND:20250219T170000Z
DTSTAMP:20260418T063717Z
UID:LNTS/151
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/151/">D
 eligne's conjecture on the critical values of Hecke L-functions</a>\nby Ha
 n-Ung Kufner (Universität Regensburg) as part of London number theory sem
 inar\n\nLecture held in Room 505\, Department of Mathematics (25 Gordon St
 )\, University College London.\n\nAbstract\nWe give a proof of Deligne's c
 onjecture for critical algebraic Hecke characters\, which relates the spec
 ial value of a Hecke L-function up to a rational factor with a certain per
 iod. This generalises a result of Blasius in the case where the Hecke char
 acter is defined over a CM-field. In our approach\, we make use of the rec
 ently constructed Eisenstein--Kronecker classes of Kings--Sprang\, which a
 llow for a cohomological interpretation of the L-value when the field of d
 efinition is an arbitrary totally imaginary number field. The key insight 
 is that these classes can be naturally regarded as de Rham classes of Blas
 ius' reflex motive\, which already played a key role in Blasius' proof.\n
LOCATION:https://researchseminars.org/talk/LNTS/151/
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