BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20251105T133657EST-8842usCHFV@132.216.98.100 DTSTAMP:20251105T183657Z DESCRIPTION:Title: SL_2(R) representations of knot groups and an extended L in invariant\n\nAbstract: I'll discuss some work in progress with Nathan D unfield. In the 90's\, X.S. Lin defined a Casson-style invariant of knots by counting SU(2) representations of the knot group with fixed holonomy al ong the meridian. This invariant was subsequently shown to be equivalent t o the Levine-Tristam signature. I'll describe a variant of Lin's construct ion which counts both SU(2) and SL_2(R) representations of the knot group. Lifting to the universal cover widetilde{SL}_2(R) allows us to define an enhanced Lin invariant\, which is a Laurent polynomial rather than just an integer. I'll give some applications (including a new proof of the Riley conjecture) and discuss a conjecture about the enhanced invariant of L-spa ce knots.\n DTSTART:20180420T150000Z DTEND:20180420T160000Z LOCATION:Room PK-5115 \, CA\, Pavillon President-Kennedy SUMMARY:Jacob Rasmussen\, Cambridge University URL:/mathstat/channels/event/jacob-rasmussen-cambridge -university-286619 END:VEVENT END:VCALENDAR