BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20251110T105131EST-5995eils8W@132.216.98.100 DTSTAMP:20251110T155131Z DESCRIPTION:Title: The Wiles-Lenstra-Diamond numerical criterion in higher codimensions.\n\nAbstract: I will report on recent joint work with Srikant h Iyengar and Jeff Manning. We give a development of numerical criterion t hat was used by Wiles as an essential ingredient in his approach to modula rity of elliptic curves over $Q$. The patching method introduced by Wiles and Taylor has been developed considerably while the numerical criterion h as lagged behind. We prove new commutative algebra results that lead to a generalisation of the Wiles-Lenstra-Diamond numerical criterion in situati ons of positive defect (as arise when proving modularity of elliptic curve s over number fields with a complex place). A key step in our work is the definition of congruence modules in higher codimensions which should be re levant to studying eigenvarieties at classical points.\n\n \n\nON-SITE : \n\nPavillon André Aisenstadt\n Salle/ Room 5340\n\n2920\, chemin de la tou r\, Montréal (Québec)\n\n \n\nZoom:\n\nJoin Zoom Meeting\n\nhttps://us06we b.zoom.us/j/84226701306?pwd=UEZ5NVpZaUlldW5qNU8vZzIvbEJXQT09\n\nMeeting ID : 842 2670 1306\n\nPasscode: 692788\n\nhttps://montrealnumbertheory.org/se minars\n DTSTART:20220915T143000Z DTEND:20220915T160000Z SUMMARY:Chandrashekhar Khare\, UCLA URL:/mathstat/channels/event/chandrashekhar-khare-ucla -341772 END:VEVENT END:VCALENDAR