Workshop «analytic study of flows» in Peyresq

organized by Colin Guillarmou & his

1 The place

• Enter in the village with google street. A precise (IGN) map that you can (de)zoom by using the +/- on the top left.
• Informations on the association that welcome us are here or (here in french). Some images of the village.
• Beware the altitude is 1500 meters. Evenings are cold. The weather can be cold (or not). Take good clothes.

2 Scientific program

• participant presents a paper(s) (not from him) that she (he) finds interesting.
• or we present some open problems the first day(s) of the conference, and we discuss, work on them together, the next days.
• Large place for discussions among participants.
• We encourage the presence and participation of students and young researchers.

2.1 Talks and/or open problems

• Viet Dang : Presentation of David Fried papers on the Torsion and Ruelle zeta function. Lecture notes.
• Shu Chen: on realisation of discrete series for real rank 1 case as kernels of Dirac type operators presentation of the paper by Atiyah-Schmidt « A geometric construction of the discrete series for semisimple Lie groups »
• Fabricio Macia : Presentation of the article « The Radon transform of Zoll manifolds » by Victor Guillemin
• Tobias Weich and Yannick Bonthonneau: Presentation of their article « Ruelle Resonances for Manifolds with hyperbolic cusps » (arXiv:1712.07832)
• Malo Jezequel and possibly someone else: Presentation of the article « Spectral gaps without the pressure condition » (arXiv:1612.09040 ) by Jean Bourgain and Semyon Dyatlov
• Gerhard Knieper: A survey on geodesic flows in non-positive curvature.
• Robin Graham, Colin Guillarmou and/or Thibault Lefeuvre: Presentation of the paper « The inverse problem for the local geodesic ray transform » by Gunther Uhlmann and Andras Vasy (arXiv:1210.2084)
• Possible other very interesting papers to study in Peyresq on Anosov/Axiom A flows are (if some are interested to study them):
  • Bourgain-Dyatlov (https://arxiv.org/abs/1612.09040 and/or https://arxiv.org/abs/1704.02909)
  • Tsujii: https://arxiv.org/abs/1601.00063
• An afternoon , with 10mn talks.

2.2 Schedule

3 Transport information

3.1 Arrival: in Peyresq will be sunday 3 june 2018 in the afternoon or the evening.

• Nice -> Peyresq
  • There will be a special bus from Nice's airport to Peyresq, Departure sunday 3 june 2018 at 16h30.

3.2 Departure: friday 8 june 2018 12h30.

• Peyresq -> Nice.
  • There will be a special bus to Nice's airport from Peyresq, arrival at Nice's airport, friday 8 june 2018 at 14h30.

4 Participants

5 Other activities

• Just look at the view and think or discuss about mathematics.
• Look at mountain flowers. This will the full season of blowing flowers. Here is a list or here. Make a tour around Peyresq and try to recognize them!
• Walk in the moutain around Peyresq. Bring good clothes and shoes. Here is a map . There is a local summit (2693m = Peyresq + 1170m): "le grand coyer" and a more local one (2157m = Peyresq + 620m) "le courradour". There is a small cave to visit, bring your lights. La grotte de Meailles
• Climbing at annot, pictures, topo.
• Music: there are some musicians and singers among us. I will bring a guitare. There will be a piano, you can bring your instrument, sheet music, song lyrics, to share with us.
• Mountain bike. Bring your mountain bike (there will be 3 places on the minibus). Here are the topo.
• Look for fossiles.
• Other ideas?