Department of Mathematical Sciences, Ritsumeikan University Web Page

• Date : 20 Oct. (Thu.) 
• Place: W.W. 6th-floor, Colloquium Room
• Time : 16:30-18:00
• Speaker: Johannes Ruf (LSE) 
• Title: Convergence of local supermartingales and Novikov-Kazamaki type conditions for processes with jumps 

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• Date : 13 Oct. (Thu.)
• Place: W.W. 6th-floor, Colloquium Room
• Time : 16:30-18:00
• Speaker:  Seiichiro Kusuoka(Okayama University)
• Title: Continuity and Gaussian two-sided bounds of the density functions of the solutions to path-dependent stochastic differential equations via perturbation

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• Date : 6 Oct. (Thu.)
• Place: W.W. 6th-floor, Colloquium Room
• Time : 16:30-18:00
• Speaker:  Marcel Braeutigam
• Title: Detecting changes in extremal dependence

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• Date : 29 Sep. (Thu.)
• Place: W.W. 7th-floor, 4th lab.
• Time : 16:30-18:00
• Speaker:  Takafumi Amaba(Ritsumeikan university)
• Title: Distributional Ito’s formula and regularization of generalized Wiener functionals

Speaker: Gilbert Hector (University Lyon 1)
Title: Ends of graphs, finitely generated groups and group actions
Date: September 23 (Fri), 16:30-17:30
Place: Ritsumeikan University Biwako-Kusatsu Campus West-Wing 7th floor 1st Labratory of Mathematics
Abstract:
We will present a simple and quick proof of the following genericity
property for group actions first stated by Cantwell-Conlon:

Theorem. – Let G be a finitely generated group of homeomorphisms of a
compact space K. If all orbits of G are dense, there exists a residual
Baire set W of orbits such that
i) all orbits in W have the same endset E(W),
ii) E(W) is either a singleton, a pair of points or a Cantor set.

By the classical theorem of Hopf-Freudenthal the endset E(G) of G
verifies property ii) as well; so we will also discuss the possible
equality E(G) = E(W).
We will recall all concepts needed for the talk.

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

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• 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

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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