Presentations of three Bachelor´s Degree Projects
- Date: 29 May 2024, 10:15–15:00
- Location: Ångström Laboratory, 4004 och 4003
- Type: Course
- Lecturer: Gabriel Rajkowski, Jonas Nordkvist och Gustaf Holmqvist
- Organiser: Matematiska institutionen
- Contact person: Martin Herschend
Gabriel Rajkowski, Jonas Nordkvist and Gustaf Holmqvist present their bachelor theses. Note that the first one is in room 4004 and the other two are in room 4003. Welcome to the event!
Time: 10:15-11:00
Place: 4004
Speaker: Gabriel Rajkowski
Title: "Dold—Kan korrespondensen"
Abstract: see Swedish version of the page
Time: 13:15-14:00
Place: 4003
Speaker: Jonas Nordkvist
Title: "En jämförelse mellan icke-parametriska metoder"
Abstract: see Swedish version of the page
Time: 14:15-15:00
Place: 4003
Speaker: Gustaf Holmqvist
Title: Minimal Models of Finite-dimensional Chekanov-Eliashberg DG-algebras
Abstract: We study an algebraic invariant of smooth and singular Legendrian knots, known as the Chekanov–Eliashberg DG-algebra. Explicit computation of the cohomology of this algebra is usually not possible. However, Bäcke showed that for singular Legendrians, one can perform a destabilization procedure simplifying the algebra, and that for a certain class of Legendrians, the algebra becomes finite-dimensional. This means that the cohomology can be algorithmically computed, and in this presentation we show an implementation of this in Python. The cohomology carries a canonical A∞-structure, the so-called minimal model of the DG-algebra, which we also compute in Python.