Poisson geometry,

moduli spaces,

and applications

Waseda University

24-28 June 2019

Nishi-Waseda Campus, Room 60-303 NEW ROOM: 63-424


These lectures (consisting of 3 courses) will provide an introduction to Poisson geometry, symplectic geometry, and some of their applications such as moduli spaces. The origins of this field lie in mechanics and symplectic geometry, but the field developed rapidly towards the end of the 20th century, producing sophisticated concepts which unify many of the classical ideas and provide a mathematical foundation for applications to quantum theory. Participants will gain an overview of the field and be informed about typical applications. Each lecture (or course) will include introductory material - graduate students and researchers in mathematics, physics, and engineering are welcome.

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COURSE 1: “Introduction to Poisson geometry” by Prof. Yvette Kosmann-Schwarzbach (Ecole Polytechnique, retired)


Monday June 24, 10:40-12:10

Tuesday June 25, 10:40-12:10

Wednesday June 26, 10:40-12:10

Thursday June 27, 10:40-12:10

Friday June 28, 10:40-12:10

Plan of the lectures

References for the lectures

COURSE 2: "Applications of Poisson geometry and related topics”


Monday June 24, 13:00-14:30 Speaker: Prof. Yuji Hirota (Azabu University)

Tuesday June 25, 13:00-14:30 Speaker: Prof. Hiroaki Yoshimura (Waseda University)

Wednesday June 26, 13:00-14:30 Speaker: Prof. Noriaki Ikeda (Ritsumeikan University)

Thursday June 27, 13:00-14:30 Speaker: Prof. Yoshiaki Maeda (Tohoku University and Tohoku Forum for Creativity)

Friday June 28, 13:00-14:30 Speaker: Dr. Tomoya Nakamura (Waseda University)

Additional lectures on Friday June 28:

15:00-15:30 Dr. Hsuan-Yi Liao (KIAS) "DG manifolds, formality theorem and Kontsevich--Shoikhet conjecture"

15:30-16:00 Dr. Kevin Morand (Sogang University) "M. Kontsevich’s graph complex and universal deformations of symplectic Lie algebroids"

Titles and abstracts of the lectures

COURSE 3: "Introduction to moduli spaces of flat connections” by Prof. Nan-Kuo Ho (National Tsing-Hua University)


Monday June 24, 14:45-16:15

Tuesday June 25, 14:45-16:15

Wednesday June 26, 14:45-16:15

Thursday June 27, 14:45-16:15

Plan of the lectures

References for the lectures

The course is an activity of the

Mathematics and Physics Unit "Multiscale Analysis, Modelling and Simulation" Top Global University Project, Waseda University

Students may register to obtain credit for this course (MATX72ZL Advanced Study of Nonlinear Mechanics).

These lectures are also supported by the Institute for Mathematical Science, Waseda University

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Campus map (showing Building 60)