AIMR Math Group Seminar #4

 

Date : July 14th (Fri.) 10:00-11:00
Place:3C, AIMR Main Bldg., Katahira campus, Tohoku University


SpeakerDr. Hidetoshi MASAI

Title: Low dimensional topology and verified computation

 

Abstract

In the first half of this talk, I will overview the interaction
of topology and geometry in dimension 2 and 3.
It turns out that in such dimensions, most manifolds admit
hyperbolic geometry. However, finding explicit hyperbolic
structures is still challenging. In the second half,
I will talk about how we can find hyperbolic structures
by using computer. So-called verified computation, or computation
with rigorous error bounds will be discussed.
If time permits, I will also talk about applications of our method.

 

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