BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Antonio Cauchi (Universitat Politècnica de Catalunya)
DTSTART:20210121T143000Z
DTEND:20210121T160000Z
DTSTAMP:20260423T024456Z
UID:NumTheory/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NumTheory/5/
 ">On higher regulators for Siegel Shimura varieties</a>\nby Antonio Cauchi
  (Universitat Politècnica de Catalunya) as part of CRM-CICMA Québec Verm
 ont Seminar Series\n\nLecture held in En ligne/Web.\n\nAbstract\nIn this t
 alk\, we will report some progress towards the Beilinson conjectures for S
 himura varieties associated to the symplectic group GSp(6).  We will expla
 in how to construct classes in its motivic cohomology and how to compute t
 heir image by Beilinson's higher regulator in terms of Rankin-Selberg type
  automorphic integrals. Using results of Pollack and Shah\, we relate the 
 integral to a non-critical special value of the degree 8 spin L-function. 
 If time permits\, we will describe parallel work in progress\, which relat
 es the residue at s=1 of these automorphic integrals to the existence of a
  Tate class coming from a Hilbert modular subvariety. This relation partia
 lly answers a question of Gross and Savin on motives with Galois group of 
 type G2. This is joint work with Francesco Lemma and Joaquin Rodrigues Jac
 into.\n
LOCATION:https://researchseminars.org/talk/NumTheory/5/
END:VEVENT
END:VCALENDAR