diff --git a/content/docs/2020_Alcove.pdf b/content/docs/2020_Alcove.pdf new file mode 100644 index 0000000000000000000000000000000000000000..874159ed2de8e0dc5cd5d8200cc4337a9a115574 Binary files /dev/null and b/content/docs/2020_Alcove.pdf differ diff --git a/content/docs/2020_IRIF.pdf b/content/docs/2020_IRIF.pdf new file mode 100644 index 0000000000000000000000000000000000000000..4b858afe64808a315d77c82f1a2cc8f7acf573be Binary files /dev/null and b/content/docs/2020_IRIF.pdf differ diff --git a/content/docs/2020_tata.pdf b/content/docs/2020_tata.pdf new file mode 100644 index 0000000000000000000000000000000000000000..d08e28188155badb044e3eb10be6883c87eab024 Binary files /dev/null and b/content/docs/2020_tata.pdf differ diff --git a/content/talks-posters/2019-06-19-polytope-school.md b/content/talks-posters/2019-06-19-polytope-school.md index 72456c90ad696fb2c9f41053b70a6f75a7dd01da..9097a0ea67ad4c85d65c7489c2cf41a43aea1e16 100644 --- a/content/talks-posters/2019-06-19-polytope-school.md +++ b/content/talks-posters/2019-06-19-polytope-school.md @@ -6,7 +6,7 @@ location: Jussieu conference_name: Summer School on Geometric and Algebraic Combinatorics conference_url: http://gac-school.imj-prg.fr/ slides: 2019_fpsac.pdf -tags: S-weak-order, s-permutohedra, Tamari +tags: S-weak-order, s-permutohedra, Tamari, Permutohedron, Associahedron We present a partial order on some decreasing trees which generalizes the weak order on permutations. This is motivated by similar generalizations on the Tamari lattice. We prove that this new order is always a lattice and contains the nu-Tamari lattice as a sublattice. Besides, it has very interesting geometrical properties which leads to beautiful constructions and conjectures. diff --git a/content/talks-posters/2019-07-04-fpsac.md b/content/talks-posters/2019-07-04-fpsac.md index 43fe8b7c7e6380b468d2ef401cafad70c562bea1..58dafd1ae651c9f5949801e6f4da579264805699 100644 --- a/content/talks-posters/2019-07-04-fpsac.md +++ b/content/talks-posters/2019-07-04-fpsac.md @@ -7,7 +7,7 @@ conference_name: FPSAC conference_url: http://fpsac2019.fmf.uni-lj.si/ slides: 2019_fpsac.pdf video: https://www.youtube.com/watch?v=sDTz9qib26k -tags: S-weak-order, s-permutohedra, Tamari, Video +tags: S-weak-order, s-permutohedra, Tamari, Video, Permutohedron, Associahedron We present a partial order on some decreasing trees which generalizes the weak order on permutations. This is motivated by similar generalizations on the Tamari lattice. We prove that this new order is always a lattice and contains the nu-Tamari lattice as a sublattice. Besides, it has very interesting geometrical properties which leads to beautiful constructions and conjectures. diff --git a/content/talks-posters/2020-02-21-sage-days.md b/content/talks-posters/2020-02-21-sage-days.md new file mode 100644 index 0000000000000000000000000000000000000000..f4109400e589451d5970249ff437ed892323d21a --- /dev/null +++ b/content/talks-posters/2020-02-21-sage-days.md @@ -0,0 +1,13 @@ +Title: Permutohedron and Associahedron: some posets and polytopes from combinatorics +date: 2020-02-21 00:10 +slug: 2020-02-21-sage-permutohedron +lang: en +location: Orsay +slides: 2020_IRIF.pdf +conference_name: Sage Days 107 +conference_url: https://wiki.sagemath.org/days107/ +demo_ext_link: https://github.com/VivianePons/public-notebooks/blob/master/2020-02-21_SageDays.ipynb +tags: Sage, Tamari, Permutohedron, Associahderon + + +Some examples of polytope construction in Sage diff --git a/content/talks-posters/2020-04-16-IRIF.md b/content/talks-posters/2020-04-16-IRIF.md new file mode 100644 index 0000000000000000000000000000000000000000..3be486ed429d37d7fd776836d1d11b834ecde7e2 --- /dev/null +++ b/content/talks-posters/2020-04-16-IRIF.md @@ -0,0 +1,14 @@ +Title: Involution "Montée - Contacts" sur les intervalles de Tamari +date: 2020-04-16 00:10 +slug: 2020-04-16-rise-contact +lang: fr +location: IRIF (online) +slides: 2020_IRIF.pdf +conference_name: Seminar +tags: Interval-posets, Rise-contact involution, Tamari, Seminar + + +Nous présentons une involution sur les intervalles de Tamari qui échange +deux séries de statistiques : les "montées" et les "contacts". Cette +involution fait intervenir de nombreux objets combinatoires : chemins de +Dyck, arbres, intervalles-posets. diff --git a/content/talks-posters/2020-05-29-filles-et-maths.md b/content/talks-posters/2020-05-29-filles-et-maths.md new file mode 100644 index 0000000000000000000000000000000000000000..d3aa4a9be99b618ff46878f7bf58004cc637eede --- /dev/null +++ b/content/talks-posters/2020-05-29-filles-et-maths.md @@ -0,0 +1,17 @@ +Title: Combinatoire : compter et programmer des objets mathématiques +date: 2020-05-29 00:00 +slug: 2019-05-29-filles-et-maths +lang: fr +location: Online +conference_name: Journée Filles et Maths +tags: Filles et Maths, Science popularization, Video +demo_ext_link: https://github.com/VivianePons/public-notebooks/blob/master/2020-05-29-FillesEtMaths.ipynb +video: https://www.twitch.tv/videos/645825261 + + +"Combien de façons ai-je d’empiler mes 3 pulls sur l’étagère ? Et si j’ai 150 pulls, tous sur une unique très grande pile ?" + +Voilà des questions de combinatoire, cette branche des mathématiques qui aime compter les choses : les pulls, les tirages du loto, les chemins dans le plan, les façons de découper un polygone, etc. + +Et quand on ne connaît pas la réponse, on demande à l’ordinateur de nous aider ! Comment ? Grâce à python. + diff --git a/content/talks-posters/2020-06-16-alcove.md b/content/talks-posters/2020-06-16-alcove.md new file mode 100644 index 0000000000000000000000000000000000000000..2b0d37ee944db8fc3f4cd0c3d2e80a52850b418e --- /dev/null +++ b/content/talks-posters/2020-06-16-alcove.md @@ -0,0 +1,12 @@ +Title: The Rise-Contact involution on Tamari intervals +date: 2020-06-16 +slug: 2019-06-16-rise-contact +lang: en +location: Online +conference_name: Alcove +conference_url: http://www-personal.umich.edu/~pechenik/alcove.htm +slides: 2020_Alcove.pdf +tags: Interval-posets, Rise-contact involution, Tamari + + +We present an involution on intervals of the Tamari lattice which switches two series of statistics: the "contacts" and the "rises". diff --git a/content/talks-posters/2020-06-23-tata.md b/content/talks-posters/2020-06-23-tata.md new file mode 100644 index 0000000000000000000000000000000000000000..b79850efe3aba4dc9c7c19f76634fd4dca457d4f --- /dev/null +++ b/content/talks-posters/2020-06-23-tata.md @@ -0,0 +1,12 @@ +Title: Permutahedron and Associahedron: combinatorics and geometry +date: 2020-06-23 +slug: 2020-06-23-permutohedron-associahedron +lang: en +location: Tata Institute of Social Sciences (Online) +slides: 2020_tata.pdf +conference_name: Webinar +demo_ext_link: https://github.com/VivianePons/public-notebooks/blob/master/2020-06-23-permu-asso.ipynb +tags: Permutohedron, Associahedron, Sage + + +We give an overview of 2 mathematical objects, the permutahedron and the associahedron. These are two polytopes which have combinatorial descriptions using permutations, and binary trees.