Lecture Series & Course

∎ Poisson Geometry and Integrable Systems, Universität Paderborn, 2023.12 ~ 2024.02 + 2024.07.

- I. Lagrangian mechanics (notes)

- II. Hamiltonian mechanics (notes)

- III. Integrability of rigid body problems (notes)

- IV. Integrability of high-dimensional rigid bodies (notes)

∎ Category of triples and mirror symmetry, Universität zu Köln, 2025.03 ~ 2025.04.

- I. Gentle algebras and hereditary envelopes (notes)

- II. Category of triples and matrix problems (notes)

- III. Representations of bunches of chains (notes)

- IV. Indecomposables in derived categories of gentle algebras (notes)

- V. Fukaya categories of surfaces (notes)

- VI. Homological mirror symmetry of gentle algebras and surfaces (notes)

∎ Fukaya categories and homological mirror symmetry, Universität Bonn, 2025.10 ~ 2026.02.

     (Every Friday 10:00 ~ 12:00, starting from 17 October. The following are tentative plans.)

- I. Introduction and motivation

- II. Review of Morse theory and Lagrangian Floer theory

- III. A_infinity categories

- IV. Fukaya categories of symplectic manifolds

- V. General statements of HMS and examples

- VI. HMS of graded surfaces, gentle algebras, and non-commutative curves

- VII. HMS of matrix factorizations and singularity categories