Cut-and-paste invariants of manifolds

Cut-and-paste invariants of manifolds

Semester
SoSe 2024

Lecturer
Georgios Raptis

Type of course (Veranstaltungsart)
Vorlesung

German title
Schneiden-und-Kleben-Invarianten von Mannigfaltigkeiten

Contents
Two manifolds are cut-and-paste (or SK-)equivalent if one can be transformed into the other by cutting it into pieces and then pasting these pieces back along their boundaries. This leads to a very intuitive equivalence relation -- inspired by the scissors congruence relation for polyhedra and Hilbert's third problem. This lecture course will study and completely determine this equivalence relation, and also identify precise complete cut-and-paste invariants. The lecture course will take place only in the first half of the semester (7 weeks). More details about the lecture course will be on the course's page on GRIPS.

Recommended previous knowledge
Algebraic topology, smooth manifolds

Time/Date
2h per week (only during the first half of the semester)

Location
tba

Additional question session
Time/Date: tba (2h per week)
Location: tba

Course homepage
https://graptismath.net/teaching.html
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

Registration

Registration for course work/examination/ECTS: FlexNow

Course work (Studienleistungen)

Successful participation in the exercise classes:

Examination (Prüfungsleistungen)

Oral exam: Duration: 30 Min, Date: by appointment, re-exam: Date: by appointment

Modules
BV, MV, MArGeo, MGAGeo

ECTS
3