Homogeneous structures, homomorphism-homogeneity, and automorphism groups
University of Leeds

Homogeneous structures, homomorphism-homogeneity, and automorphism groups

October 1st 2009-May 31st 2013

EPSRC grant EP/H00677X/1 is held at the University of Leeds from Oct 1st 2009- May 31st 2013.


Principal investigator, Professor J K Truss

Co-investigator, Professor H D Macpherson

Research assistant

Dr Deborah Lockett, Oct 1st 2009-Sept 30th 2012,

PhD students on the grant

Andres Aranda,

David Bradley-Williams

Mayra Montalvo-Ballesteros

Visitors on the grant

Professor Manuel Bodirsky, Paris,

Professor Peter Cameron, Queen Mary, University of London

Professor Jaroslav Nesetril, Prague

We are holding an informal seminar, currently most Fridays at 11am in the Maths Department at Leeds. There was a conference in the summer of 2011, from July 19th to 22nd. For more details see London Mathematical Society Northern Regional Meeting and workshop on Homogeneous Structures,

and there was a follow-up meeting in Prague, July 25th-27th 2012, http://kam.mff.cuni.cz/~hartman/WHS2012/

  1. Deborah Lockett and J K Truss, Generic endomorphisms of homogeneous structures, in 'Groups and Model Theory', Contemporary Mathematics 576, ed Strungmann, Droste, Fuchs, Tent, AMS 2012, 217-237.

  2. M. Bodirsky, H. D. Macpherson, J. Thapper, Constraint satisfaction tractability from semilattice operations on infinite sets, http://archiv.org/abs/1111.6616

  3. H. D. Macpherson, K. Tent, Simplicity of some automorphism groups, Journal of Algebra 342 (2011), 40-52.

  4. H. D. Macpherson, K. Tent, Pseudofinite groups with NIP theory and definability in finite simple groups, http://archiv.org/abs/1202.3304

  5. R. Gray, H. D. Macpherson, C. E. Praeger, G. Royle, Set-homogeneous directed graphs, Journal of Combinatorial Theory, Series B, Vol 102 (2012) 474-520.

  6. H. D. Macpherson, A survey of homogeneous structures, Discrete Mathematics, 311 (2011), 1599-1634.

  7. Deborah Lockett, Connected homomorphism-homogeneous graphs, submitted.

  8. Robert Gray and J. K. Truss , Countable locally 2-arc transitive bipartite graphs, submitted.

  9. Deborah Lockett and J. K. Truss, Homogeneous coloured multipartite graphs, submitted.

  10. Deborah Lockett and J. K. Truss, Some more notions of homomorphism-homogeneity, submitted.

  11. Deborah Lockett and H. D. Macpherson, Orbit-equivalent infinite permutation groups, Journal of Algebraic Combinatorics, February 2013.

    Last changed 7-3-2013.                      

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