During the fall 2017 I am organizing, together with Àlvaro del Pino, a learning seminar on Microlocal Sheaf Theory and Symplectic Topology. The goal is to learn the basics on the microsupport of sheaves, and how to use it to prove results in symplectic topology (notably the Arnol’d conjecture). In particular, we want to understand the proof of the Arnol’d conjecture for homogeneous Hamiltonian diffeomorphisms (following Guillermou-Kashiwara-Schapira).
Where/When
The seminar usually takes place in room 610 of the Hans Freudenthal building, usually on Fridays, usually between 13:00 and 15:00
Talks
Here is a tentative list of the talks in the seminar, with links to the (handwritten) lecture notes.
- 29/09 – Davide Alboresi – Introduction
- 13/10 – Peter James – Derived categories and functors
- 27/10 – Àlvaro del Pino – Operations on sheaves
- 3/11 – Dušan Joksimović – Derived operations on sheaves
- 10/11 – Davide Alboresi – Microsupport
- 17/11 – Luca Accornero – Microlocal Morse lemma
- 24/11 – Kay Werndli – Functorial properties of the microsupport
- 1/12 – Àlvaro del Pino – Arnol’d conjecture, existence of quantization
- 8/12 – Dušan Joksimović – Existence and uniqueness of the quantization
- 15/12 – Davide Alboresi – Morse inequalities, proof of Arnol’d conjecture
References
Our main references are
- Schapira’s notes “A short review of microlocal sheaf theory“
- “The book” by Kashiwara and Schapira
- Guillermou-Kashiwara-Schapira’s paper on Sheaf quantization of Hamiltonian isotopies
Davide Alboresi 