Modern Interactions between Algebra, Geometry and Physics

Program Theme

The major goals of this thematic program are to discuss and study recent developments in the field of moduli spaces and their quantization by inviting distinguished researchers in mathematics and physics to report on and advance new developments of related algebraic and geometric structures with physical applications, and in turn to disseminate these results in a variety of research areas. The thematic program will serve as a perfect opportunity for young scientists to become involved in cutting edge research. In addition, the research areas included in this proposal have many applications to other research fields, including engineering, information science, and material science. To implement the thematic program practically, we focus on the following topics: 1) Geometry of Wall–Crossing, Deformation Quantization and Resurgent Analysis, 2) Complex Geometry and Mirror Symmetry, 3) Lagrangian Floer theory and Symplectic Geometry. These topics are mutually related and have a deep connection with quantum theory (esp. quantum field theory).

Events

(April 2016)
Geometry of Wall–Crossing, Deformation Quantization and Resurgent Analysis

Special Lectures
(April 4, 2016 – April 5, 2016)
Spring School
(April 11, 2016 – April 15, 2016) [Aug. 04, 2016 Updated]
Workshop
(April 18, 2016 – April 22, 2016) [Aug. 25, 2016 Updated]
Workshop on Development of new methods in Symplectic Geometry: JSPS Bilateral Joint Research Project between Belgium and Japan
(April 25, 2016 – April 26, 2016)

(May 2016)
Symplectic Geometry and Physics

Intensive Course
(May 9 / 10 / 12 / 13, 2016)
Workshop on Geometry and Physics – Floer theory and Hamiltonian dynamics
(May 23, 2016 – May 27, 2016) [Sep. 15, 2016 Updated]

(June 2016 – July 2016)
Complex Geometry and Mirror Symmetry

Intensive Course
(June 14, 2016 – June 16, 2016) [May 26, 2016 Updated]
Special Lectures by Professor Kenji Fukaya
(June 14 and 20, 2016) [Jun. 16, 2016 Updated]
Lecture Series
(June 22, 2016 – June 24, 2016) [May 26, 2016 Updated]
Workshop
(June 27, 2016 – June 29, 2016) [Jun. 24, 2016 Updated]
Special Lecture by Professor Shing–Tung Yau
(July 12, 2016) [Jul. 13, 2016 Updated]
Workshop
(July 13, 2016) [Sep. 15, 2016 Updated]

Organizers

Shigetoshi Bando
(Professor, Graduate School of Science, Tohoku University)

Giuseppe Dito
(Professor, Institut de Mathématiques, University of Bourgogne)

Toshiki Mabuchi
(Professor, Graduate School of Science, Osaka University)

Reiko Miyaoka
(Professor, Graduate School of Science, Tohoku University)

Kaoru Ono
(Professor, Research Institute for Mathematical Science, Kyoto University)

Thematic Programs