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2018 NCTS Summer Course: Introduction to 3-manifold Topology with some Applications to Knot Theory
 
14:00-16:00(lecture), 16:00-17:00(discussion) on Mondays, Wednesdays and Fridays, July 9 - 20, 2018
Room 714, Astronomy-Mathematics Building, NTU

Speaker:
C. Michael Tsau (Saint Louis University)


Organizers:
Jih-Hsin Cheng (Academia Sinica)


一、課程背景與目的:
This course teaches fundamentals of 3-manifold topology, which lays the foundation for further in this and other areas involving topology and differentiable manifolds. It also provides general knowledge for the techniques used in the study of 3-manifolds topology.
 
二、課程之大綱與講者:
Lecturer: C. Michael Tsau(曹志誠)
Topics includes:
(1)Dehn’s Lemma and Loop Theorem, Sphere Theorem, and some applications to Knot theory
(2)Connected sum decomposition of 3-manifolds and connected sum of 3-manifolds
(3)Heegaard splittings and genus of 3-manifolds. Classification of genus one orientable and non-orientable 3-manifolds
(4)Fundamental groups of 3-manifolds and Kneser’s conjecture. Incompressible surfaces
 
Registration:



Poster: events_3_143180504535454226.pdf


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 (C) 2018 National Center for Theoretical Sciences