Topological data analysis of exclusion zones
The meeting is supported by grants from the Alan Turing Institute
(Edinburgh, 2-6 December, 2017)
and the Scottish Informatics and Computer Science Alliance.
The meeting proposal
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
11.30-12.20 Rob Ghrist Coverage, evasion etc. #1
14.20-15.10 Rik Sarkar Engineering #2
15.20-16.10 Greg Arone Manifold Calculus #1
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
11.30-12.20 Rob Ghrist Coverage, evasion #2
14.20-15.10 Gunnar Carlsson TDA #2
15.20-16.10 Greg Arone Manifold Calculus #2
Monday, 4th December
9.10-10.00 Gunnar Carlsson TDA #3
10.10-11.00 Kartic Subr Engineering #3
11.30-12.20 Rob Ghrist Coverage, evasion etc. #3
14.20-15.10 Erik Pedersen Controlled algebra
15.20-16.10 Michael Weiss History of the manifold calculus
Tuesday, 5th December
10.10-11.00 Rik Sarkar Engineering #4
11.30-12.20 Tom Goodwillie Manifold origins of homotopy calculus #2
14.20-15.10 Steffen Tillmann Occupants
15.20-16.10 Sanjeevi Krishnan Dualities in directed homotopy
Wednesday, 6th December
Gunnar Carlsson (Stanford)
Subramanian Ramamoorthy (Edinburgh)
Andrew Ranicki (Edinburgh)
Ulrike Tillmann (Oxford)
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)
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
R. Ghrist and S. Krishnan, Positive Alexander duality for pursuit and evasion
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.