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SUMMARY:Alex Horawa (Michigan)
DTSTART:20211011T220000Z
DTEND:20211011T225000Z
DTSTAMP:20260423T041613Z
UID:UCLA_NTS/34
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCLA_NTS/34/
 ">Motivic action on coherent cohomology of Hilbert modular varieties</a>\n
 by Alex Horawa (Michigan) as part of UCLA Number Theory Seminar\n\n\nAbstr
 act\nA surprising property of cohomology of locally symmetric spaces is th
 at Hecke operators can act on multiple cohomological degrees with the same
  eigenvalues. We will discuss this phenomenon for coherent cohomology of l
 ine bundles on modular curves and\, more generally\, Hilbert modular varie
 ties. We propose an arithmetic explanation: a hidden degree-shifting actio
 n of a certain motivic cohomology group (the Stark unit group). This exten
 ds the conjectures of Venkatesh\, Prasanna\, and Harris to Hilbert modular
  varieties.\n
LOCATION:https://researchseminars.org/talk/UCLA_NTS/34/
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