BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Sean Cotner (University of Bonn) DTSTART:20261014T150000Z DTEND:20261014T160000Z DTSTAMP:20261018T042429Z UID:LNTS/202 DESCRIPTION:Title: O n the Fargues--Scholze local Langlands correspondence for Yu's supercuspid als\nby Sean Cotner (University of Bonn) as part of London number theo ry seminar\n\nLecture held in Imperial College London\, Huxley 139.\n\nAbs tract\nThere are several different approaches to the local Langlands\ncorr espondence\, which can be roughly grouped as "classical"\, "explicit"\,\na nd "geometric". Each of these has its own useful features\, and it is\nexp ected that they all ultimately yield the same correspondence\, but this\ni s far from clear. There has been a lot of work by many people comparing\nt he classical and geometric approaches\, and some partial work comparing\nt he other two pairs of approaches. I will discuss recent joint work with\nT ony Feng which is focused on comparing the explicit and geometric\napproac hes due to Kaletha and Fargues--Scholze\, respectively. The main\nrecent t ools making this comparison possible are Feng's modular\nfunctoriality and Scholze's independence of \\(\\ell\\).\n LOCATION:https://researchseminars.org/talk/LNTS/202/ END:VEVENT END:VCALENDAR