Topological data analysis of exclusion zones
(Edinburgh, 2-6 December, 2017)

The meeting is supported by grants from the Alan Turing Institute
and the Scottish Informatics and Computer Science Alliance.
The meeting proposal

Timetable

Meeting held at the Appleton Tower (Room 7.14, open 9.00-17.00) of the University of Edinburgh
Talks will be 50 minutes long, followed by 5-10 minutes of discussion.

Saturday, 2nd December

9.10-10.00 Ram Ramamoorthy Engineering #1
10.10-11.00 Gunnar Carlsson TDA #1
11.00-11.30 Coffee
11.30-12.20 Rob Ghrist Coverage, evasion etc. #1
12.20-14.20 Lunch
14.20-15.10 Rik Sarkar Engineering #2
15.20-16.10 Greg Arone Manifold Calculus #1
16.10-17.00 Tea

Sunday, 3rd December

9.10-10.00 Henry Adams Evasion paths in mobile sensor networks
10.10-11.00 Tom Goodwillie Manifold origins of homotopy calculus #1
11.00-11.30 Coffee
11.30-12.20 Rob Ghrist Coverage, evasion #2
12.20-14.20 Lunch
14.20-15.10 Gunnar Carlsson TDA #2
15.20-16.10 Greg Arone Manifold Calculus #2
16.10-17.00 Tea

Monday, 4th December

9.10-10.00 Gunnar Carlsson TDA #3
10.10-11.00 Kartic Subr Engineering #3
11.00-11.30 Coffee
11.30-12.20 Rob Ghrist Coverage, evasion etc. #3
12.20-14.20 Lunch
14.20-15.10 Erik Pedersen Controlled algebra
15.20-16.10 Michael Weiss History of the manifold calculus
16.10-17.00 Tea

Tuesday, 5th December

10.10-11.00 Rik Sarkar Engineering #4
11.00-11.30 Coffee
11.30-12.20 Tom Goodwillie Manifold origins of homotopy calculus #2
12.20-14.20 Lunch
14.20-15.10 Steffen Tillmann Occupants
15.20-16.10 Sanjeevi Krishnan Dualities in directed homotopy
16.10-17.00 Tea

Wednesday, 6th December

Organizers

Gunnar Carlsson (Stanford)
Subramanian Ramamoorthy (Edinburgh)
Andrew Ranicki (Edinburgh)
Ulrike Tillmann (Oxford)

Participants

Henry Adams (Colorado State)
Greg Arone (Stockholm)
Tom Goodwillie (Brown)
Rob Ghrist (Penn)
Sanjeevi Krishnan (Ohio)
Erik Pedersen (Copenhagen)
Rik Sarkar (Edinburgh)
Kartic Subr (Edinburgh)
Steffen Tillmann (Münster)
Michael Weiss (Münster)

Papers

H. Adams and G. Carlsson, Evasion paths in mobile sensor networks, International Journal of Robotics Research, vol. 34, (1), (2015), 90-104.
V. de Silva and R. Ghrist, Coverage in sensor networks via persistent homology, Algebraic and Geometric Topology 7 (2007), 339-358.
V. de Silva and R. Ghrist, Coordinate-free coverage in sensor networks with controlled boundaries via homology,
R. Ghrist and S. Krishnan, Positive Alexander duality for pursuit and evasion arXiv:1507.04741, (2015).
T. Goodwillie, J. Klein and M. Weiss, Spaces of smooth embeddings, disjunction, and surgery, in S. Cappell, A. Ranicki, J. Rosenberg, Surveys in Surgery Theory, vol. 2, Annals of Mathematics Studies 149, Princeton University Press, Princeton N.J., 2000.
A. Haefliger, Differentiable embeddings of Sn in Sn+q for q >2, Annals of Mathematics, vol. 83, no.3, (1966), 402-436.
A. Haefliger and M. Hirsch, On the existence and classification of differentiable embeddings, Topology, vol. 2, issues 1-2, 1963.
F.T. Pokorny, M. Hawasly, S. Ramamoorthy,Topological trajectory classification with filtrations of simplicial complexes and persistent homology,
International Journal of Robotics Research 35(1-3): 204-223, 2016.
S. Tillmann, Occupants in simplicial complexes, arXiv:1711.07107
S. Tillmann, Manifold calculus adapted for simplicial complexes, arXiv:1702.05608
S. Tillmann and M.Weiss, Occupants in manifolds, arXiv:1503.00498
M. Weiss, Calculus of embeddings, Bull. Amer. Math. Soc. 33, (1996), 177-187.