BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jun Su (Cambridge University) DTSTART:20200701T080000Z DTEND:20200701T090000Z DTSTAMP:20260423T024023Z UID:POINTS/11 DESCRIPTION:Title: Arithmetic group cohomology: coefficients and automorphy\nby Jun Su (C ambridge University) as part of POINTS - Peking Online International Numbe r Theory Seminar\n\n\nAbstract\nCohomology of arithmetic subgroups\, with coefficients being algebraic representations of the corresponding reductiv e group\, has played an important role in the construction of Langlands co rrespondence. Traditionally the first step to access these objects is to v iew them as cohomology of (locally constant) sheaves on locally symmetric spaces and hence connect them with spaces of functions. However\, sometime s infinite dimensional coefficients also naturally arise\, e.g. when you t ry to attach elliptic curves to weight 2 eigenforms on $\\mathrm{GL}_2$ / an imaginary cubic field\, and the sheaf theoretic viewpoint might no long er be fruitful. In this talk we’ll explain a different but very simple u nderstanding of the connection between arithmetic group cohomology (with f inite dimensional coefficients) and function spaces\, and discuss the appl ication of this idea to infinite dimensional coefficients.\n\nZoom ID: 663 6110 0929\n\nZoom password: 059123\n\nLink: https://zoom.com.cn/j/6636110 0929?pwd=Y2JQdTd5QnhEOFBKWVRDR1JsV1VZZz09\n LOCATION:https://researchseminars.org/talk/POINTS/11/ END:VEVENT END:VCALENDAR