Tropical Geometry and Related Topics

Contents

Outline

Dates:
September 10 - 12, 2007
Organizers:
Goo Ishikawa (Hokkaido University) and more.
Venue:
Venue: Department Mathematics, Hokkaido University Room 4-508, Faculty of Science Building #4, Hokkaido University
Topics:
Tropical geometry
Toric geometry
Real algebraic geometry
Ultra-discretization of integrable systems
Amoebas
Hypergeometric functions
Tropical approach in representation theory
Dimer models
Twister theory
Discrete convex analysis
Idempotent analysis
Non-Archimedean analysis
Tropical singularity theory
and so on
Confirmed Invited Speakers:
Rei INOUE (Tokyo Univ.)
Takeshi KAJIWARA (Yokohama National Univ.)
Fumiharu KATO (Kyoto Univ.)
Tsuyoshi KATO (Kyoto Univ.)
Sachiko SAITO (Hokkaido Univ. of Edu.)
Toshiaki MAENO (Kyoto Univ.)
Grigory MIKHALKIN (Toronto Univ.)
Takeo NISHINOU (Tohoku Univ.)
Daisuke TAKAHASHI (Waseda Univ.)
Tomoyuki TAKENAWA (Tokyo Univ. Marine Sci. Tech.)
Yasuhiko YAMADA (Kobe Univ.)
with more invited speakers (Alphabet order)
Program: » PDF file
10th September 2007 (Mon.)
14:20 - 15:20 Grigory Mikhalkin
Tropical modifications and the resulting equivalence relation
15:40 - 16:40 Takeo Nishinou
Correspondencesbetween tropical and holomorphic curves
17:00 - 18:00 Takeshi Kajiwara
Tropical toric geometry
19:00 -  -Reception-
11th September 2007 (Tue.)
10:00 - 11:00 Daisuke Takahashi
On Some Ultradiscrete Systems 
11:20 - 12:20 Rei Inoue & Tomoyuki Takenawa
Tropical spectral curves and integrable cellular automata 
-Lunch break-  
14:20 - 15:20Tsuyoshi Kato
A pattern formation in dynamical systems by families of iteration maps
15:40 - 16:40 Yasuhiko Yamada
Geometric formulation of discrete Painlevé equation and its tropical ana logue
17:00 - 18:00 Toshiaki Maeno
Tropical geometry and construction of phylogenetic trees
12th September 2007 (Wed.)
10:00 - 11:00 Fumiharu Kato
Notion ofpoints in rigid geometry -classicalpoints, Berkovichpoints, and Zariski-Riemann spaces
11:20 - 12:20 Sachiko Saito,
Real K3 surfaces with non-symplectic involutions and del Pezzo surfaces
-Free discussion-