BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Douglas Molin (Chalmers University of Technology) DTSTART:20260722T070000Z DTEND:20260722T083000Z DTSTAMP:20260805T014246Z UID:HCMCAlg/3 DESCRIPTION:Title: Multiplicity-one for p-adic automorphic cohomology\nby Douglas Molin ( Chalmers University of Technology) as part of KIAS HCMC Algebra Seminar\n\ n\nAbstract\nAutomorphic representations give rise to classes in the p-adi c cohomology of locally symmetric spaces. In the setting of GL_n over a CM field\, the contribution of a given representation is spread across sever al cohomological degrees. A conjecture of Venkatesh (together with a relev ant case of the Bloch--Kato conjecture) explains this phenomenon in a prec ise way in terms of the Galois representation attached to the automorphic representation. In this talk\, I will introduce this conjecture and descri be how it may be viewed as a multiplicity-one statement suggested by a gen eral conjecture within the Langlands program. Then\, I will present recent results establishing Venkatesh's conjecture under various technical assum ptions (and in the p-adic setting).\n LOCATION:https://researchseminars.org/talk/HCMCAlg/3/ END:VEVENT END:VCALENDAR