Sheaf quantization seminar

2024 Fall, Northwestern

This is a learning seminar on sheaf quantization. The reference is Guillermou's book[1]. We meet weekly on Wednesday 4:10pm at Frances Searle Room 2107 .  (Unusual time and locations are marked in green.)

Talks:

Sept 25, Dima. Introduction. 

Oct 2, Corey. Sheaves on Manifolds and Six Functors. 

Oct 10,  4pm, Lunt 107 , Mingze. Singular Support. (Followed by a problem section held by Dima.)

Oct 16, Mingyuan. Kernels, Convolutions and Examples. 

Oct 24, 3pm, Lunt 104, Uisun. Quantization of Hamiltonian Flows I.

Oct 31, 4pm, Lunt 107, Uisun. Quantization of Hamiltonian Flows II.

Nov 6, Uisun. Quantization of Hamiltonian Flows III. 

Nov 15, Lunt 103, Dima. Proof of Arnold-Givental conjecture vis sheaf quantization. 

...

References:

[1] Stepane Guillermou, Sheaves and Symplectic Geometry of Cotangent Bundles (ams.org).

[2] Stephane Guillermou, Masaki Kashiwara and Pierre Schapira, Sheaf Quantization of Hamiltonian Isotopies and Applications to Non-displaceability Problems.

[3]Stephane Guillermou, Quantization of Conic Lagrangian Submanifolds of Cotangent Bundles.

[4] Masaki Kashiwara and Pierre Schapira, Sheaves on Manifolds: With a Short History. «Les débuts de la théorie des faisceaux». By Christian Houzel | SpringerLink.

[5] Xin Jin and David Treumann, [1704.04291] Brane structures in microlocal sheaf theory (arxiv.org.

[6] Wenyuan Li, Sheaf Theory in Symplectic Geometry.pdf (wenyuanli1995-math.github.io)

[7] C. Viterbo,  An Introduction to Symplectic Topology through Sheaf theory  Eilenberg.pdf (polytechnique.fr)

[8] Pierre Schapira, A short review on microlocal sheaf theory.

[9] Peter Scholze,  Six-Functor Formalisms.

[10] Dmitry Tamarkin, Microlocal condition for non-displaceablility (arxiv.org)

[11] Honghao Gao and Roger Casals, Infinitely many Lagrangian fillings | Annals of Mathematics (princeton.edu)