Date & Time: Every Tuesday 13:00 ~ 14:00 (CEST) during term time
with possible arrangements with the Learning Seminar: SYZ Mirror Symmetry on Mondays 16:00 ~ 17:30.
Place: University of Bonn, Room 1.007.
Organizers: Laurent Côté, Christopher Kuo, Si-Yang Liu, Naageswaran Manikandan, Yunpeng Niu, Noah Porcelli, Kyungmin Rho in Symplectic and Non-commutative Geometry group in Bonn.
21 Oct (Tue) Danil Koževnikov (University of Edinburgh)
13:00 ~ 14:00 Lagrangian skeleta of very affine complete intersections
Abstract: In this talk, I will present some new results about skeleta of complete intersections inside (C*)^n. I will start by briefly reviewing the Batyrev-Borisov mirror construction, which uses combinatorial dualities between lattice polytopes to produce mirror pairs of Calabi-Yau complete intersections in Fano toric varieties. The main focus of the talk will be open Batyrev-Borisov complete intersections (BBCIs), which are Liouville manifolds obtained by removing the toric boundary in the Batyrev-Borisov construction. I will explain how one can use tropical geometry to compute Lagrangian skeleta of open BBCIs and decompose them into pieces mirror to certain toric varieties, which leads to a proof of homological mirror symmetry (generalising the work of Gammage-Shende and Zhou in the case of hypersurfaces).
10 Nov (Mon) Yonghwan Kim (MIT)
16:00 ~ 17:00 Simple homotopy theory for Fukaya categories
Room N0.008
Abstract: Whitehead torsion originated in geometric topology as an invariant central to the s-cobordism theorem, detecting when a homotopy equivalence fails to be simple. More recently, it has appeared in symplectic geometry through the work of Abouzaid - Kragh and Courte - Porcelli, in connection with closed Lagrangian submanifolds of cotangent bundles. In this talk, I will present a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. This framework provides a setting in which previous known results for cotangent bundles can be extended to general Weinstein manifolds.
18 Nov (Tue) Zihong Chen (University of Cambridge)
13:00 ~ 14:00 TBA
Abstract: TBA
25 Nov (Tue) Mingyuan Hu (University of Southern Denmark)
13:00 ~ 14:00 TBA
Abstract: TBA
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