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Presentations of 3-manifolds and related invariants

24 janvier 2019 @ 14:15 -15:15

Speakers: Quentin FAES
 

One historical achievement of (differential) topology is the solution of the classification problem for high-dimensional manifolds (dim > 5). We are mainly left to the study of dimension 3 and 4. In order to study 3-manifolds, we want to give a good way of constructing it, especially leading to combinatorial contexts. I will sum up some presentations of 3-manifolds (by Heegard splitting, by Dehn surgery… etc.). This presentation allows us to define invariants in a natural way, making interesting links between 3-dimensional topology and other fields such as algebra (through Mapping Class groups of surfaces) and  Knot theory (Kirby moves). If I have enough time, i will then give details about this invariant, and try to introduce ongoing problematics about these subjects.
https://indico.math.cnrs.fr/event/4327/

Détails

Date :
24 janvier 2019
Heure :
14:15 -15:15
Catégorie d’Évènement:
Site :
https://indico.math.cnrs.fr/event/4327/

Lieu

318 (IMB)
318 (IMB) + Google Map
wpea_event_id:
indico-event-4327@indico.math.cnrs.fr
wpea_event_origin:
ical
wpea_event_link:
https://indico.math.cnrs.fr/event/4327/

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