Virtual Seminar on

Geometry and Topology

https://visgat.cayley.kr

How to join

Zoom Meeting ID 739-035-2844

Password Zero minus the Euler characteristic of a closed oriented surface of genus 4000

Time Wed 4 pm or Thursday 9 am (or so) in KST (Korea Standard Time)

2021


April 21 (W) 4 pm Korea

Yi Liu (BICMR)

Finite-volume hyperbolic 3-manifolds are almost determined by their finite quotient groups

In this talk, I will outline a proof for showing that the profinite completion of the fundamental group determines finite-volume hyperbolic 3-manifolds up to finitely many possibilities. As one of the main steps, I will explain why the Thurston norm on the first (real) cohomology is determined by the completion.

May 13 (Th) 4 pm Korea

Masato Mimura (Tohoku U)

The Green--Tao theorem for number fields

Joint work with colleagues in Tohoku University: Wataru Kai, Shin-ichiro Seki, Akihiro Munemasa and Kiyoto Yoshino. Ben Green and Terence Tao have proved that the set of rational primes contains arbitrarily long arithmetic progressions. We establish generalizations of this theorem in the setting of (arbitrary) number fields. No serious background on number theory is assumed for this talk. For the preprint, see https://arxiv.org/abs/2012.15669


May 27 (Th) 10 am Korea (= May 26 9 pm EST)

Tarik Aougab (Haverford College)

TBA

TBA


Organizers

Harry Hyungryul Baik (KAIST)

Sam Sang-hyun Kim (KIAS)

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