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Colloquium

Title

Towards Function theory on Teichmüller space

Date

2021.7.14 (Wed) 16:45-17:45   

Place

Zoom

Speaker

Hideki Miyachi (Kanazawa University)

Abstract

 Teichmüller space is the moduli space of marked Riemann surfaces, and is realized as a bounded domain in the complex Euclidean space under the natural complex structure. It is natural to develop the function theory on Teichmüller space. In this talk, we will give a recent progress on the study of Function theory on Teichmüller space.

Comment Registration:
Please register using the form ( https://forms.gle/KD6Ph2VTQXcZktpU7)
by 6:00 p.m. on Monday 12th July.
The colloquium will take place online, and can be accessed via a course site on PandA. The access to the course site will be granted once your registration is confirmed.

Title

Crystalline mean curvature flow with a volume constraint

Date

2021.7.7 (Wed) 16:45-17:45   

Place

Zoom

Speaker

Norbert Pozar (Kanazawa University)

Abstract

 In this talk I will discuss new results on the crystalline mean curvature flow with nonlocal forcing given by a volume constraint. We establish existence of solutions for initial data with a certain reflection property given by the symmetries of the Wulff shape, which we show is preserved in the evolution. This talk is based on joint work with Inwon Kim and Dohyun Kwon.

Comment Registration:
Please register using the form ( https://forms.gle/zGLcbxp86Lyqjspu9 )
by 6:00 p.m. on Monday 5th July.
The colloquium will take place online, and can be accessed via a course site on PandA. The access to the course site will be granted once your registration is confirmed.

Title

On the extension problem of quasimorphisms on groups

Date

2021.6.30 (Wed) 16:45-17:45   

Place

Zoom

Speaker

Takahiro Matsushita (University of the Ryukyus)

Comment Registration:
Please register using the form ( https://forms.gle/1fKXvmGWm9DP1D5T6 )
by 6:00 p.m. on Monday 28th June.
The colloquium will take place online, and can be accessed via a course site on PandA. The access to the course site will be granted once your registration is confirmed.

Title

Long time behavior of solution to the nonlinear Schrödinger equation with delta potential

Date

2021.6.23 (Wed) 16:45-17:45   

Place

Zoom

Speaker

Junichi Segata (Kyushu University)

Abstract

 We summarize recent progress on long time behavior of solution to the one dimensional nonlinear Schrödinger equation with a delta potential. We first consider the case where potential is repulsive and prove the (modified) scattering for small global solutions. Next we mention the case where potential is attractive and establish the asymptotic stability of the family of solitary waves.

Comment Registration:
Please register using the form ( https://docs.google.com/forms/d/e/1FAIpQLSc8FpWeemlS-z3xONlrd2xJUqS34ZXS-Hx8EoOFUg2Jv2zCcg/viewform?usp=sf_link )
by 6:00 p.m. on Friday 18th June.
The colloquium will take place online, and can be accessed via a course site on PandA. The access to the course site will be granted once your registration is confirmed.

Title

Homological mirror symmetry and the gamma integral structures for invertible polynomials

Date

2021.6.9 (Wed) 16:45-17:45   

Place

Zoom

Speaker

Atsushi Takahashi (Osaka University)

Comment Registration:
Please register using the form ( https://docs.google.com/forms/d/e/1FAIpQLSc8FpWeemlS-z3xONlrd2xJUqS34ZXS-Hx8EoOFUg2Jv2zCcg/viewform?usp=sf_link )
by 6:00 p.m. on Friday 4th June.
The colloquium will take place online, and can be accessed via a course site on PandA. The access to the course site will be granted once your registration is confirmed.

Title

A default contagion model for pricing defaultable bonds from an information based perspective

Date

2021.6.2 (Wed) 16:45-17:45   

Place

Zoom

Speaker

Hidetoshi Nakagawa (Hitotsubashi University)

Abstract

(Joint research with Prof. Dr. Hideyuki Takada)
 In this study, we introduce an extended model of the information based model of credit risk proposed by Brody, Hughston and Macrina (2010) to a multi-name case to investigate how default contagion risk influences the price fluctuation of defaultable discount bonds. Under the model with a couple of obligors, we derive a stochastic differential equation for one defaultable zero-recovery discount bond price process to reflect default contagion risk of a counterpart debt obligor. As a consequence, we find that the excess rate of the return in the trend term of the bond consists of not only the issuer's hazard rate but also the counterpart obligor's hazard rate adjusted with the "pseudo-default loss" rate. We also find that the bond price can jump at the default time of the counterpart by the amount dependent on the correlation between the issuer and the counterpart. Moreover, we numerically examine the impact of default contagion risk on some bond price components within the model.
Reference :
 Hidetoshi Nakagawa and Hideyuki Takada, "A default contagion model for pricing defaultable bonds from an information based perspective," FS-2020-E-001,HUB FS Working paper series (submitted)
URL http://www.fs.hub.hit-u.ac.jp/inc/files/staff-research/workingpaper/FS-2020-E-001.pdf

Comment Registration:
Please register using the form ( https://docs.google.com/forms/d/e/1FAIpQLSc8FpWeemlS-z3xONlrd2xJUqS34ZXS-Hx8EoOFUg2Jv2zCcg/viewform?usp=sf_link )
by 6:00 p.m. on Friday 28th May.
The colloquium will take place online, and can be accessed via a course site on PandA. The access to the course site will be granted once your registration is confirmed.

Title

Hamilton-Jacobi equations on metric spaces

Date

2021.4.21 (Wed) 16:45-17:45   

Place

Rm420, Research Institute for Mathematical Sciences, Kyoto University

Speaker

Atsushi Nakayasu (Kyoto University)

Comment * Participants are encouraged to wash hands frequently, wear a mask.
* The capacities of seminar rooms are reduced so that sufficient distance among participants can be maintained.
* Note that under our health policy, persons with some typical symptoms (continued cough, fatigue or temperature 1℃ higher than normal) are not allowed in the building.
* Please fill in the participant list at the venue.
* No beverage or snacks should be served in meetings.

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