|DATE||December 09 (Mon), 2019|
|TITLE||Tropical geometry (with mirror symmetry)|
|ABSTRACT||This is a learning seminar for one semester on tropical geometry(with mirror symmetry). Tropical geometry is a combinatorial approach to complex geometry which share much with toric geometry. However, it is also related to p-adic geometry which gives a wider view on mirror symmetry. We cover the following materials.
1. Brief introduction to tropical geometry
2. Tropical homology (Reference: Tropical homology by Itenberg, Katzarkov, Mikhalkin, Zharkov,arxiv 1604.01838)
3. Relation to P-adic geometry (Reference: Tropical Dolbeault cohomology of non-archimediean spaces by Yifeng Liu))
4. Tropical approach to Gamma conjecture (References:Gamma conjecture via mirror symmetry by Sergey Galkin and Hiroshi Iritani, arxiv 1508.00719, The Gamma and SYZ conjectures; a tropical approach to periods by Abouzaid, Ganatra, Iritani, Sheridan; arxiv 1809.02177)