BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Katherine Goldman (McGill Univ.) DTSTART:20250207T160000Z DTEND:20250207T171500Z DTSTAMP:20260423T024618Z UID:CIRGET/134 DESCRIPTION:Title: Residual properties of 2-dimensional Artin groups\nby Katherine Goldm an (McGill Univ.) as part of CRM - Séminaire du CIRGET / Géométrie et T opologie\n\nLecture held in PK-5115.\n\nAbstract\nIt is a longstanding ope n question to determine which Artin groups are residually finite. Past res ults have followed from linearity (e.g.\, for spherical-type or virtually cocompact special Artin groups) or product decompositions in rank 3. We pr esent a new approach to this problem using intermediate quotients to so-ca lled Shephard groups. These Shephard groups possess their own interesting (and sometimes counterintuitive) geometry which we can leverage to give ne w information about their corresponding Artin groups in some cases. As a h ighlight of this connection\, we show that an Artin group which is simulta neously 2-dimensional\, hyperbolic-type\, and FC-type is residually finite . One of the key features of the proof we will discuss is the fact that hy perbolic-type 2-dimensional Shephard groups are relatively hyperbolic\, wh ich is almost never true of Artin groups.\n LOCATION:https://researchseminars.org/talk/CIRGET/134/ END:VEVENT END:VCALENDAR