BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250713T225154EDT-136096C0ht@132.216.98.100 DTSTAMP:20250714T025154Z DESCRIPTION:Title: Immersed curves in Khovanov homology\n\nAbstract: Consid er a 2-sphere S intersecting a knot K in 4 points. This defines decomposit ion of a knot into two 4-ended tangles. We will show that Khovanov homolog y Kh(K)\, and its deformation due to Bar-Natan\, are isomorphic to Lagrang ian Floer homology of a pair of specifically constructed immersed curves o n the dividing 4-punctured sphere S. This result is analogous to immersed curves description of bordered Heegaard Floer homology and knot Floer homo logy. The key step will be constructing a tangle invariant in the form of a chain complex over a certain algebra B (deformation of Khovanov's arc al gebra)\, and showing that algebra B embeds in a nice way into the wrapped Fukaya category of the 4-punctured sphere Fuk(S). As an application\, we w ill prove that Conway mutation preserves Rasmussen's s-invariant of knots. \n This is joint work with Liam Watson and Claudius Zibrowius.\n DTSTART:20190913T150000Z DTEND:20190913T160000Z LOCATION:Room PK-5115 \, CA\, Pavillon President-Kennedy\, 201 Ave. Preside nt-Kennedy SUMMARY:Artem Kotelskiy\, Indiana University URL:/mathstat/channels/event/artem-kotelskiy-indiana-u niversity-300486 END:VEVENT END:VCALENDAR