This is a reading group on the series of papers by Ganatra-Pardon-Shende: GPS1 , GPS2 , GPS3 .
Unless marked otherwise, talks take place on Thursdays, 12-2pm, in JCMB 5323. The reading group is zoom-enabled; please email me if you would like the zoom link, to be put on the mailing list, or to volunteer to give a talk.
20/10: Nick Sheridan, introduction and motivation (Danil's notes; Nick's notes)
27/10: Danil Kozevnikov, Liouville sectors I (Danil's notes; Nick's notes)
[GPS1, section 2.1 - 2.X], with X to be determined.
3/11: No meeting
10/11: Álvaro Muñiz Brea, Liouville sectors II (Danil's notes; Álvaro's notes)
[GPS1, 2.X+1 - 2.9].
17/11: Filip Živanović, Partially wrapped Fukaya category I (geometry) (Danil's notes, Filip's notes):
start with exact Fukaya (pre-)category [GPS1, 2.10 and 3.2]. Spend enough time on it: the paper assumes this is well-known, but we shouldn't!
continuation elements under positive isotopies [GPS1, 3.3].
24/11: No meeting (strike)
1-8/12: Barış Kartal, Partially wrapped Fukaya category II (algebra) (Danil's notes for 1/12; Danil's notes for 8/12):
[GPS1, 3.1, 3.4-7] (let's work over a field, so ignore cofibrancy).
26/1: Sukjoo Lee, Partially wrapped Fukaya category III (stopped Liouville sectors) (Danil's notes)
[GPS2, Section 2-3] (see also relevant parts of introduction)
2/2: Jeff Hicks, Geometry of linking discs (Danil's notes)
State [GPS2, Prop 1.12], but then main focus should be [GPS2, Section 5].
9/2: Jeff Hicks, Wrapping exact triangle (Danil's notes, Jeff's notes)
[GPS2, Prop 1.12, Sections 4 and 6]
16/2: Valentin Bosshard, Kunneth formula I (Danil's notes)
(coordinate with next talk; need to cover [GPS2, Sections 7-9])
23/2: Valentin Bosshard, Kunneth formula II (Nick's notes)
2/3: Nick Sheridan, Viterbo functoriality (Danil's notes)
24/3: Kai Hugtenburg, Homotopy pushouts and colimits (Danil's notes)
I think we want to understand the *statements* of [GPS2, Theorems 1.28 and 1.35] (e.g., what is the relevant notion of homotopy colimit - appendix A), and their examples/applications [GPS2, Sections 1.8 and 1.9], and only a rough idea of the proofs. Relevant sections: [GPS2, Sections 10-14 and appendix A].
The Future: [GPS3].