Department of Mathematical Sciences, Ritsumeikan University Web Page

Geometry Seminar

Title : A co-dimension 3 sub-Riemannian structure on Gromoll-Meyer exotic sphere

Speaker : Kenro Furutani (Tokyo University of Science)

16:30-17:30, September 26, 2016
Room: Biwako-Kusatsu Campus (BKC), West Wing, 7th floor, 1st Laboratory of Mathematics

Abstract :
We construct a co-dimension 3 completely non-holonomic sub-bundle on the Gromoll-Meyer exotic 7 sphere based on its realization as a base space of Sp(2) principal bundle with the structure group Sp(1). The same method is valid for constructing a co-dimension 3 sub-bundle on the standard 7 sphere (and also on 4n+3 dimensional standard sphere). For the standard sphere cases a co-dimension 3 sub-bundle was constructed by making use of the Hopf bundle. Our method gives a simple proof for the standard case.

• Date : 8 Sep. (Thu.)
• Place: W.W. 7th-floor, 4th lab.
• Time : 16:30-18:00
• Speaker:  Simona Sanfelici(University of Parma)
• Title: FAST NUMERICAL PRICING OF BARRIER OPTIONS UNDER STOCHASTIC VOLATILITY AND JUMPS

≫ More

• Date : 25 Aug. (Thu.)
• Place: W.W. 7th-floor, 4th lab.
• Time : 16:30-18:00
• Speaker:  Yuri Imamura(Tokyo university of science)
• Title: The Value of Timing Risk

≫ More

Geometry Seminar

Title :
Thermodynamics and information geometry via contact geometry

Speaker :
Shin-itiro Goto (Kyoto University)

14:00-15:30, August 23, 2016
Room: Biwako-Kusatsu Campus (BKC), West Wing, 7th floor, 1st Laboratory of Mathematics

Abstract :
In this talk we discuss firstly
a geometric description of nonequilibrium thermodynamics,  
and discuss secondly how to relate information geometry to contact geometry.
For the first one, attention is drawn to formulating a class of
relaxation processes as that of dynamical systems on a contact manifold.
In addition it is shown that such dynamical systems include an existing
dynamical system derived in physics. Then, an explicit form of an
invariant measure for these dynamical systems on the contact manifold is shown.
For the second one, it is shown how a contact manifold and a
strictly convex function on the manifold induce a dually flat space
developed in information geometry.

• Date : 28 Jul. (Thu.)
• Place: W.W. 7th-floor, 4th lab.
• Time : 16:30-18:00
• Speaker:  Masanori Koyama(Ritsumeikan university)
• Title: TBA

• Date : 21 Oct. (Thu.)
• Place: W.W. 6th-floor, Colloquium Room
• Time : 16:30-18:00
• Speaker:  Naotaka Kajino(Kobe University)
• Title: 多重Dynkin-Hunt公式による拡散過程の熱核の上方評価とLiouville Brown運動への応用

• Date : 14 Jul. (Thu.)
• Place: W.W. 7th-floor, 4th lab.
• Time : 16:30-18:00
• Speaker:  Laurent Denis (Universite de Mans)
• Title: Chaotic extensions and the lent particle method for Brownian motion

≫ More

• Date : 7 Jul. (Thu.)
• Place: W.W. 7th-floor, 4th lab.
• Time : 16:30-18:00
• Speaker: Yuuki Ida (Ritsumeikan University) 
• Title: Generalized Reflection Principle for SABR model 

• Date : 16 Jun. (Thu.)
• Place: W.W. 7th-floor, 4th lab.
• Time : 16:30-18:00
• Speaker: Dai Taguchi (Ritsumeikan University)
• Title: Weak rate of convergence for the Euler-Maruyama scheme with fractional differential drift

• Date: 7 Jun. (Tue.)
• Place: W.W. 7th-floor, Colloquium Room
• Time : 13:00-16:10
• Speaker: Jim Pitman (University of California, Berkeley),  
• Speaker: Lancelot James (Hong Kong University of Science and Technology)

≫ More