Ph.D. course in symplectic geometry VT2021

Lecturers

Lectures 1—10:
Georgios Dimitroglou Rizell
office: 14161.
e-mail: georgios.dimitroglou@math.uu.se.
Lectures 11—17:
Tobias Ekholm
office: 14137.
e-mail: tobias.ekholm@math.uu.se.

Locale

Zoom link: https://uu-se.zoom.us/j/68872188875 (mail for the passcode).

Material

Handouts of lecture notes will be made available here. There is no official course literature, but references to supplementary optional reading for the different topics will be given.

Georgios' lectures:

Nr.	Date	Topics	Lecture Notes
01.	Thu. 11/2 13:15-15:00	Intro: Basic symplectic notions, Gromov compactness
02.	Thu. 18/2 13:15-15:00	The moduli space, Chern classes, Uniruledness, Classification of fillings of the sphere.
03.	Thu. 25/2 13:15-15:00	Uniruledness, Classification of fillings of the sphere, Lagrangians.
04.	Thu. 4/3 13:15-15:00	Lagrangians, Momentum map, Maslov index, Gromov compactness for discs.
05.	Fri. 12/3 15:15-17:00	Applications of pseudoholomorphic curves to Lagrangian uniruledness, etc.
06.	Thu. 18/3 13:15-15:00	Floer homology and moduli spaces of discs with boundary punctures.
07.	Thu. 25/3 13:15-15:00	More on moduli spaces, Floer homology, and invariance.
08.	Fri. 9/4 15:15-17:00	A-infinity operations and the Fukaya category.
09.	Thu. 15/4 13:15-15:00	More about A-infinity structures. The Wrapped Fukaya category.
10.	Fri. 16/4 15:15-17:00	Weinstein manifolds. Generalities about categories. Generation results.

Tobias' lecture plan (preliminary):

All lectures will be recorded and made available on this page!
References:

Nr.	Date	Topics	Lecture Notes	Video link
11.	Mon. 19/4 10:15-12:00	Legendrians and Chekanov-Eliashberg dg-algebras 1
12.	Thu. 22/4 10:15-12:00	Legendrians and Chekanov-Eliashberg dg-algebras 2
13.	Mon. 26/4 10:15-12:00	Wrapped Floer cohomology and symplectic cohomology without Hamiltonian
14.	Wed. 28/4 10:15-12:00	Weinstein handles and Reeb dynamics
15.	Tue. 4/5 10:15-12:00	Legendrian surgery isomorphism
16.	Wed. 5/5 10:15-12:00	Symplectic cohomology as Hochschild homology and cohomology
17.	Fri. 7/5 10:15-12:00	The symplectic cohomology product