BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Paula Truöl (ETH Zurich) DTSTART:20221216T160000Z DTEND:20221216T171500Z DTSTAMP:20260423T022737Z UID:CIRGET/82 DESCRIPTION:Title: Strongly quasipositive knots are concordant to infinitely many strongly qu asipositive knots\nby Paula Truöl (ETH Zurich) as part of CRM - Sémi naire du CIRGET / Géométrie et Topologie\n\nLecture held in PK-5115.\n\n Abstract\nKnots are smooth embeddings of the (oriented) circle S^1 into th e 3-sphere S^3\, usually studied up to an equivalence relation called ambi ent isotopy. A natural generalization in dimension 4 of the question wheth er certain knots are isotopic to the trivial knot is the concept of concor dance\, another equivalence relation on the set of knots.\nWe show that ev ery non-trivial strongly quasipositive knot is (smoothly) concordant to in finitely many pairwise non-isotopic strongly quasipositive knots. In contr ast to our result\, it was conjectured by Baker that concordant strongly q uasipositive fibered knots are isotopic. Our construction uses a satellite operation whose companion is a slice knot with maximal Thurston-Bennequin number -1.\nIn the talk\, we will define the relevant terms necessary to understand the theorem in the title\, and explain the context of this resu lt. If time permits\, we will say a few words about how the construction e xtends to links.\n LOCATION:https://researchseminars.org/talk/CIRGET/82/ END:VEVENT END:VCALENDAR