# Ramsey DocCourse Prague 2016

### Programme for pre-doctoral and doctoral students in

## Modern Methods in Ramsey Theory

### Prague, September 15 — December 31, 2016

Supported by the CORES ERC-CZ LL-1201
and by DIMATIA Prague.
Organized by Jaroslav Nešetřil and Jan Hubička

## Publications and pre-prints

- Corsten, Jan. "Grid Ramsey problem." Electronic Notes in Discrete Mathematics 61 (2017): 287-292.
- Corsten, Jan. "A note on the grid Ramsey problem." arXiv preprint arXiv:1709.09658 (2017).
- Aranda, A., Bradley-Williams, D., Hubička, J., Karamanlis, M., Kompatscher, M., Konečný, M., & Pawliuk, M. (2017). Ramsey expansions of metrically homogeneous graphs. arXiv preprint arXiv:1707.02612.
- Aranda, A., Bradley-Williams, D., Hng, E. K., Hubička, J., Karamanlis, M., Kompatscher, M., Konečný, M., & Pawliuk, M. (2017). Completing graphs to metric spaces. arXiv preprint arXiv:1706.00295.

## programme

Date | Time | Room | Speaker | Title |
---|---|---|---|---|

Week 1 | ||||

Tuesday, September 20 | 10:40 | S6 | Jaroslav Nešetřil | Bootcam (Mike Pawliuk's and Michael Kompatscher's notes) |

Wednesday, September 21 | 10:40 | S6 | Jan Hubička | Bootcamp (Mike Pawliuk's notes) |

Friday, September 23 | 10:40 | S6 | Jaroslav Nešetřil | Bootcamp (Mike Pawliuk's and Michael Kompatscher's notes) |

Week 2 | ||||

Monday, September 26 | 10:40 | S6 | Jaroslav Nešetřil | Bootcamp (Mike Pawliuk's notes) |

Wednesday, September 28 | 10:40 | S6 | Holiday: St Wenclesas day | |

Friday, September 30 | 10:40 | S6 | Jan Hubička | Bootcamp (Mike Pawliuk's notes) |

Week 3 | ||||

Monday, October 3 | 15:40 | S7 | Jaroslav Nešetřil | Bootcamp (Mike Pawliuk's notes) |

Wednesday, October 5 | 10:40 | S6 | Michael Pinsker | Functions on homogeneous Ramsey structures 1 Manuel Bodirsky, Michael Pinsker: Reducts of Ramsey structures (Mike Pawliuk's notes) |

friday, October 7 | 10:40 | S6 | Michael Pinsker | Functions on homogeneous Ramsey structures 2 (Mike Pawliuk's notes) |

Week 4 | ||||

Monday, October 10 | 10:40 | S6 | Jan Hubička | Properties of lifts (Mike Pawliuk's notes) |

Wednesday, October 12 | 10:40 | S6 | Jan Hubička | Properties of lifts 2 (Mike Pawliuk's notes) |

Friday, October 14 | 10:40 | S6 | Michael Pinsker | Functions on homogeneous Ramsey structures 3 (Mike Pawliuk's notes) |

Week 5 | ||||

Monday, October 17 | 10:40 | S6 | Slawomir Solecki | Projective Fraïssé theory |

Wednesday, October 19 | 10:40 | S6 | Slawomir Solecki | Ramsey and Ultrafilters 1 (Mike Pawliuk's notes) |

Friday, October 21 | 10:40 | S6 | Slawomir Solecki | Ramsey and Ultrafilters 2 (slides for last 20 minutes) (handout format) (Mike Pawliuk's notes) |

Week 6 | ||||

Monday, October 24 | 10:40 | S6 | Jaroslav Nešetřil | Structural Ramsey and partite construction |

Tuesday, October 25 | 12:20 | S6 | Jaroslav Nešetřil | Structural Ramsey and partite construction 2 (Mike Pawliuk's notes) |

Wednesday, October 26 | 10:40 | S6 | Martin Balko | Ordered graphs and Ramsey numbers |

Thursday, October 27 | 14:00 | S5 | Benjamin Weiss | 97 Mathematical Colloquium: Dynamical systems and Ramsey theory |

Friday, October 28 | 10:40 | S6 | Holiday: Foundation of independent Czechoslovak state | |

Week 7 | ||||

Monday, October 31 | 10:40 | S6 | Benjamin Weiss | Dynamical systems and Ramsey theory - a course (Mike Pawliuk's notes) |

Wednesday, November 2 | 10:40 | S6 | Jaroslav Nešetřil | Structural Ramsey via Partite Constructions - graphs, hypergraphs |

Friday, November 4 | 10:40 | S6 | Jan Hubička | Multiamalgamation, local finiteness and Ramsey property |

Week 8 | ||||

Monday, November 7 | 10:40 | S6 | David Evans | The Hrushovski constructions in combinatorics and model theory 1 (Mike Pawliuk's notes) |

Monday, November 7 | 12:20 | S8 | Benjamin Weiss | Dynamical systems and Ramsey theory - a course |

Tuesday, November 8 | 10:30 | S5 | Carl Pomerance | The first dynamical system (Mike Pawliuk's notes) |

Tuesday, November 8 | 14:00 | S3 | Carl Pomerance | 98 Mathematical Colloquium: Random Number Theory
(Mike Pawliuk's notes) |

Wednesday, November 9 | 10:15 | S6 | Xuding Zhu | Fractional Hedetniemi's conjecture, Chromatic Ramsey number and circular chromatic Ramsey number. |

Wednesday, November 9 | 15:40 | S1 | David Evans | The Hrushovski constructions in combinatorics and model theory 2 (lecture notes) |

Friday, November 11 | 10:40 | S6 | David Evans | The Hrushovski constructions in combinatorics and model theory 3 |

Week 9 | ||||

Monday, November 14 | 10:40 | S6 | Lionel Nguyen Van Thé | Introduction to Kechris-Pestov-Todorcevic correspondence 1 |

Tuesday, November 15 | 12:20 | S6 | Claude Laflamme | Divisibility, canonical partitions, and tree partitions |

Wednesday, November 16 | 10:40 | S6 | Lionel Nguyen Van Thé | Introduction to Kechris-Pestov-Todorcevic correspondence (Mike Pawliuk's notes) 2 |

Friday, November 18 | 10:40 | S6 | Lionel Nguyen Van Thé | Introduction to Kechris-Pestov-Todorcevic correspondence 3 (Mike Pawliuk's notes) |

Week 10 | ||||

Monday, November 21 | 10:40 | S6 | Jacob Fox | Ramsey numbers 1 |

Tuesday, November 22 | 12:20 | S3 | Jacob Fox | 99 Mathematical Colloquium:Arithmetic regularity, removal, and progressions (video, slides) |

Wednesday, November 23 | 10:40 | S6 | Jacob Fox | Ramsey numbers 2 |

Wednesday, November 23 | 15:40 | S1 | David Conlon | Euclidean Ramsey Theory 1 |

Friday, November 25 | 10:40 | S6 | Jacob Fox | Ramsey numbers 3 |

Friday, November 25 | 14:00 | S8 | David Conlon | Euclidean Ramsey Theory 2 |

Week 11 | ||||

Monday, November 28 | 10:40 | S6 | David Conlon | Euclidean Ramsey Theory 3 |

Wednesday, November 30 | 10:40 | S6 | Patrice Ossona de Mendez | Compactness of the Graphon Space and Szemeredi Regularity Lemma |

Friday, December 2 | 10:40 | S6 | ||

Week 12 | ||||

Monday, December 5 | 10:40 | S6 | ||

Wedneday, December 7 | 10:40 | S6 | Micheal Pawliuk | The Hrushovksi extension property (Mike Pawliuk's notes) |

Friday, December 9 | 10:40 | S6 | Aristotelis Panagiotopoulos | The n-simplex as a projective Fraisse limit |

Week 13 | ||||

Monday, December 12 | 10:40 | S6 | Dana Bartošová | Dual Ramsey, the Gurarij space and the Poulsen simplex 1 (Mike Pawliuk's notes) |

Wednesday, December 14 | 10:40 | S6 | Dana Bartošová | Dual Ramsey, the Gurarij space and the Poulsen simplex 2 |

Friday, December 16 | 10:40 | S6 | Dana Bartošová | Dual Ramsey, the Gurarij space and the Poulsen simplex 3 |

Week 14 | ||||

Monday, December 19 | 10:40 | S6 | Rob Morris | The method of hypergraph containers 1 |

Tuesday, December 20 | 10:40 | S8 | Natasha Dobrinen | The universal triangle-free graph has finite Ramsey degrees |

Tuesday, December 20 | 12:20 | S6 | Rob Morris | The method of hypergraph containers 2 |

Wednesday, December 21 | 10:40 | S6 | Rob Morris | The method of hypergraph containers 3 |