RTG workshop program
Main lecturers: NB = Nate Bottman, JF = Joel Fish, KW = Katrin Wehrheim
Contents
Monday
9 Welcome & Logistics
9:15-10:15 lecture 1: Overview of Fukaya category constructions (KW)
10:15-10:30 discussion
coffee break
11-12 lecture 2: The polyfolds, bundles, and sections relevant to Fukaya category - as topological objects (KW)
12-12:30 discussion
lunch break
2-3:30 1-5 minute flash talks by all participants
coffee break
4-6 tutorial: scale calculus problems, see 2.2, 4.1-2 of [FFGW]; "warm-up" portion of problems on Deligne-Mumford spaces - with Catherine Cannizzo, Jeff Hicks, Jan-David Salchow
4-6 working groups on TBD / wiki-hackathon
6 pizza mix & mingle
Tuesday
9-9:15 summaries of afternoon discussions
9:15-10:15 lecture 3: Deligne-Mumford space (NB)
10:15-10:30 discussion
coffee break
11-12 lecture 4: Smooth structures for nonsingular parts of domains - featuring scale calculus (JF)
12-12:30 discussion
lunch break
2-3 Kai Zehmisch on Polyfolds and the Weinstein conjecture
coffee break
3:30-5:30 tutorial: problems on retractions and M-polyfolds, see 2.3 and 5.1 in [FFGW] - with Ben Filippenko, Zhengyi Zhou optionally, try "further fun" portion of problems on Deligne-Mumford spaces (and question Nate about it ;-)
3:30-5:30 working groups on TBD / wiki-hackathon
5:30 snacks & panel discussion on navigating math culture .. and contributing to it! (Hiro Tanaka, JF, KW)
Wednesday
9-9:15 summaries of afternoon discussions
9:15-10:15 lecture 5: Smooth structures near nodes and Floer breaking - featuring retractions (JF)
quick coffee break
10:30-11:30 lecture 6: sc-Fredholm property of Cauchy-Riemann section in M-polyfold settings (JF)
11:30-11:45 discussion
12- 1 Wolfgang Schmaltz on Gromov-Witten axioms for polyfold construction
lunch and free afternoon
Thursday
9-9:30 Q&A (particularly on lectures 5, 6)
9:30-10:30 lecture 7: Smooth structures near curves involving Morse flow lines (KW)
10:30-10:45 discussion
coffee break
11:15-12:15 lecture 8: Global Polyfold Fredholm setup (how to patch it all together and deal with isotropy) (NB)
12:15-12:30 discussion
lunch break
2-3 Zhengyi Zhou on Morse-Bott approach to invariance
3-3:30 discussion of invariance
coffee break
4-6 tutorial: problems on Fredholm sections of polyfold bundles, perturbations, and implicit function theorems, see 2.1 and 6.1-3 in [FFGW] - with Wolfgang Schmaltz, and TBD
4-6 working group on invariance / wiki-hackathon
6 Cheeseboard pizza wrap-up mingle
Friday
9-9:15 summaries of afternoon discussions
9:15-10:15 lecture 9: Fiber products and coherent perturbations - featuring compactness controls by auxiliary norms (Ben Filippenko)
10:15-10:30 discussion
coffee break
11-12 lecture 10: Wrap-up of construction and Wish list of future constructions via polyfolds: invariance, homotopy units, bounding cochains... and more? (NB)
12-12:30 discussion
lunch break
2-5 working groups on TBD / wiki-hackathon
