Department of Mathematical Sciences, Ritsumeikan University Web Page

• Date : 24 Nov. (Thu.)
• Place: W.W. 6th-floor, Colloquium Room
• Time : 16:30-18:00
• Speaker: Reiichiro Kawai (Sydney)
• Title: Computable Bounding Functions for Expectation, Boundary Value and Obstacle Problems

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• Date : 17 Nov. (Thu.)
• Place: W.W. 6th-floor, Colloquium Room
• Time : 16:30-18:00
• Speaker: Yunxuan Liu (Monash University)
• Title: TBA

• Date : 3 Nov. (Thu.)
• Place: W.W. 6th-floor, Colloquium Room
• Time : 16:30-18:00
• Speaker: Paul-Eric Chaudru de Raynal (Savoie)
• Title: Regularization by noise : degenerate and McKean-Vlasov cases.

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• Date : 27 Oct. (Thu.)
• Place: W.W. 6th-floor, Colloquium Room
• Time : 16:30-18:00
• Speaker:Lewis Ramsden (Liverpool university)  
• Title: TBA

• 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.