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SUMMARY:Aleksander Horawa (University of Michigan)
DTSTART:20220422T130000Z
DTEND:20220422T140000Z
DTSTAMP:20260423T021340Z
UID:NTUniPD/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTUniPD/10/"
 >Motivic action on coherent cohomology of Hilbert modular varieties</a>\nb
 y Aleksander Horawa (University of Michigan) as part of Number Theory Semi
 nars at Università degli Studi di Padova\n\n\nAbstract\nA surprising prop
 erty of the cohomology of locally symmetric spaces is that\nHecke operator
 s can act on multiple cohomological degrees with the same\neigenvalues. We
  will discuss this phenomenon for the coherent cohomology of\nline bundles
  on modular curves and\, more generally\, Hilbert modular\nvarieties. We p
 ropose an arithmetic explanation: a hidden degree-shifting\naction of a ce
 rtain motivic cohomology group (the Stark unit group). This\nextends the c
 onjectures of Venkatesh\, Prasanna\, and Harris to Hilbert\nmodular variet
 ies.\n
LOCATION:https://researchseminars.org/talk/NTUniPD/10/
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