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.
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.
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)
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.
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)
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
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)
* 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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