AIMR Math Group Seminar #4



Date : April 24th (Tue.) 15:00-16:00

Place:3C, AIMR Main Bldg., Katahira campus, Tohoku University

SpeakerDr. Anastasiia Tsvietkova

Title: Using hyperbolic geometry to obtain information on knots, links and 3-manifolds



Knots, links and three-dimensional manifolds have been an object of mathematical studies since the 19th century. However, only in the 1970’s William Thurston noticed that three-dimensional manifolds can be approached using geometry. This new perspective made geometric topology develop rapidly, and allowed to solve the long-standing Poincaré conjecture. Soon it was realized that one particular type of manifolds is the least understood: the hyperbolic manifolds. Moreover, the hyperbolic metric on many three-dimensional manifolds is unique and therefore it gives rise to powerful invariants. The talk will briefly introduce an approach to hyperbolic structures that provides a close connection with a combinatorial or topological description of a manifold. I will then outline recent results giving an insight into the interplay between the intrinsic geometry of hyperbolic 3-manifolds and the invariants coming from other areas of mathematics, such as quantum topology, number theory and algebraic geometry.




【Latest News】

AIMR Math Group Seminar

Date: May 17th (Fri) 2019 
Speaker: Dr. Yuki Takahashi

【More Info】


Math discussion for ATP

Date: April 19th (Fri) 2019
Speaker: Dr. Hirofumi Oka
Speaker: Prof. Tomoteru Fukumura

【More Info】


AIMR Math Group Seminar

Date: April 4th (Thu) 2019 
Speaker: Dr. Koji Sato

【More Info】






















 Advanced Institute for Materials Research Tohoku University Mathematical Group
 2-1-1 Katahira, Aoba-ku, Sendai, 980-8577 Japan 【Access/Contact