Date:             28th March, 2024 (Thu.)

Place:            Keio University (Mita Campus, 101 Classroom)

Address:      2-15-45 Mita, Minato-ku, Tokyo 108-8345 Japan 

Access:         Access Map (101 Classroom is in the building #1)

※ Registrationはありません。直接お越しください。事前（なるべく早い時期）に石川までご連絡頂けると、いろいろ想定ができて助かります。

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Program: (under construction)

13:30 -14:30   Atsuko Katanaga (Shinshu University)

                                The integral homology of 5-dimensional algebraic links

14:50 - 15:50  Yuya Koda (Keio University) 

                                The Powell Conjecture for the genus-three Heegaard splitting of the 3-sphere 

16:10 - 17:10  Sebastian Baader (Universitat Bern)

                                On knots with Alexander polynomial divisible by t^2-t+1 

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Abstract: 

Atsuko Katanaga (Shinshu University)

Title: The integral homology of 5-dimensional algebraic links

Abstract: The links of isolated hypersurface singularities are important smooth manifolds that give geometric information of the singularities. In the case of four complex variables, we will present the results obtained so far from the viewpoint of the Orlik conjecture on the integral homology groups.

Yuya Koda (Keio University) 

Title: The Powell Conjecture for the genus-three Heegaard splitting of the 3-sphere

Abstract: The Powell Conjecture states that four specific elements suffice to generate the genus g Goeritz group, the group of automorphisms of the 3-sphere that preserve the genus g Heegaard splitting. In this talk, we give an alternative proof of the Powell Conjecture for the genus 3 Goeritz group. This is joint work with Sangbum Cho and Jung Hoon Lee. 

Sebastian Baader (Universitat Bern)

Title: On knots with Alexander polynomial divisible by t^2-t+1

Abstract: We show that a positive ratio of all 5-braid links have the following property: the Alexander polynomial vanishes in the sixth root of unity. The method also allows us to determine the almost precise cobordism distance between positive 3-braid links and connected sums of trefoil knots.

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Organizers:  

Masaharu Ishikawa (Keio University)

Yuya Koda (Keio University)

Contact:       ishikawa   at   keio   .   jp