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Kobe - Lyon Summer School in Mathematics 2015

PROGRAM

Venue : Room B301 (3rd floor in Building B),
            Graduate School of Science,
            Kobe University, Japan
Last modified: July 6, 2015.

1st week

   10:00-11:30  13:30-15:00 15:30-17:00 
21 July
(TUE)
N. Takayama 1
Basics on ideals and Gröbner basis: Dickson's lemma, division or reduction, Buchberger's criterion, confluence.
Lunch R. Bahloul 1
Gröbner bases in D-modules and application to Bernstein-Sato ideals
Coffee
Break
P. Malbos 1
Non-commutative Gröbner basis : applications and generalizations
22 July
(WED)
N. Takayama 2
Integration of D-modules and an algorithm for it. (Wednesday lecture starts from 10:30.)
Lunch (Wednesday luch starts from 12:00) R. Bahloul 2
Gröbner bases in D-modules and application to Bernstein-Sato ideals
Coffee
Break
P. Malbos 2
Non-commutative Gröbner basis : applications and generalizations
23 July
(THU)
S. Aoki 1
Markov basis and Gröbner basis in statistics
Lunch P. Malbos 3
Non-commutative Gröbner basis : applications and generalizations
Coffee
Break
N. Hage
Study of plactic monoids by rewriting methods.
C. Chenavier
Confluence algebras and acyclicity of the Koszul complex
24 July
(FRI)
R. Bahloul 3
Gröbner bases in D-modules and application to Bernstein - Sato ideals
Lunch P. Malbos 4
Non-commutative Gröbner basis : applications and generalizations
Coffee
Break
C. Alleaume
Study of monoidal linear categories by rewriting methods


2nd week

   10:00-11:30  13:30-15:00 15:30-17:00 
27 July
(MON)
K. Iohara 1
Introduction to representations of quivers.
 Lunch K. Iohara 2
Introduction to representations of quivers.
Coffee
Break
A. Caradot
Deformations and resolutions of Kleinian singularities
28 July
(TUE)
Y. Kimura 1 Introduction to quiver varieties  Lunch Y. Kimura 2 Introduction to quiver varieties Coffee
Break
Y. Takayama
Quivers and moduli spaces of instantons and sheaves
29 July
(WED)
M-H. Saito
Application of quiver varieties to the control theory
 Lunch N. Tahara
Explicit families of certain linear connections on P1 \{0, 1, }
K. Miyazaki
On some examples of moduli spaces of meromorphic connections on P1
30 July
(THU)
D. Yamakawa 1
Applications of quiver varieties to moduli spaces of connections on P1,T.
 Lunch D. Yamakawa 2
Applications of quiver varieties to moduli spaces of connections on P1 ,T.
Coffee
Break
A. Komyo
Geometric description of the moduli space of parabolic connections on P1 \{t1,...,t5} and the universal family.
31 July
(FRI)
K. Hiroe 1
Applications of quiver varieties to moduli spaces of connections on P1,U.
 Lunch K. Hiroe Q
Applications of quiver varieties to moduli spaces of connections on P1 ,U.

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Kobe-Lyon
Summer School in Mathematics 2015

Dep. of Mathematics
Graduate School of Science,
Kobe University
657-8501
1-1 Rokkodai-cho, Nada-ku, Kobe

E-Mail :kobe-lyon-2015
_at_math.kobe-u.ac.jp