RTG workshop program

Main lecturers: NB = Nate Bottman, JF = Joel Fish, KW = Katrin Wehrheim

Monday

9 Welcome & Logistics

9:15-10:15 lecture 1: Overview of construction (KW)

10:15-10:30 discussion

coffee break

11-12 lecture 2: Polyfolds, bundles, and sections as topological objects (KW)

12-12:30 discussion

lunch break

2-3:30 1-5minute flash talks by all participants

coffee break

4-6 tutorial: scale calculus problems on 2.2, 4.1-2 of [FFGW], Deligne-Mumford spaces (NB)

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 spaces (NB)

10:15-10:30 discussion

coffee break

11-12 lecture 4: Smooth structures at interior points (scale calculus) (JF)

12-12:30 discussion

lunch break

2-3 Michael Jemison - TBA

coffee break

3:30-5:30 tutorial: problems on retractions and M-polyfolds on 2.3 and 5.1 in [FFGW] (JF)

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 at nodes and Floer breaking (retractions) (JF)

quick coffee break

10:30-11:30 lecture 6: Fredholm property (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

9:30-10:30 lecture 7: Smooth structures with Morse flow lines (KW)

10:30-10:45 discussion

coffee break

11:15-12:15 lecture 8: Global Polyfold Fredholm setup (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 on 2.1 and 6.1-3 in [FFGW]

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 (and controlling compactness with 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