COmbinatorics Seminar for Everyone (COSE)
This is a reading seminar open to everyone, especially bachelor, master and PhD students. The topic changes every year/semester. It includes free coffee breaks.
If you are interested in participating, please send an email to cult-owner@lists.dm.unipi.it, bring your coffee cup/mug/water bottle, and be ready to give a talk!
In the second semester of this year the topic of the seminar is “Hyperplane arrangements”. We will follow mainly the lecture notes by Richard Stanley:
[Stanley] Stanley, “An introduction fo Hyperplane arrangements”, 2006
DATE | TIME | ROOM | SPEAKER | TITLE | REFERENCES |
---|---|---|---|---|---|
28/02/2024 | 11:00-13:00 | Saletta riunioni | Michele D’Adderio | Introduction to hyperplane arrangements | [Stanley] Lecture 1 |
13/03/2024 | 11:00-13:00 | Sala riunioni | Giulia Codenotti | Characteristic polynomial and Moebius function | [Stanley] Lecture 1 |
27/03/2024 | 11:00-13:00 | Sala riunioni | Sabrina Botticchio | Crosscut theorem, Whitney’s theorem, deletion-restriction of the characteristic polynomial of an arrangement | [Stanley] Lecture 2, Section 2.1 |
10/04/2024 | 11:00-13:00 | Sala riunioni | Alessio Sgubin | Zaslavsky theorem via deletion restriction and via Euler characteristic | [Stanley] Lecture 2, Section 2.2 |
30/04/2024 | 11:00-13:00 | Sala riunioni | Alessandro Tedeschi | ||
15/05/2024 | 11:00-13:00 | Sala riunioni | Davide Chionna |
In the first semester of this year the topic of the seminar is “Matroids”. We will follow mainly the lecture notes by Vic Reiner:
[Reiner] Reiner, “Lectures on matroids and oriented matroids”, 2005
Date | Time | Room | Speaker | Title | References |
---|---|---|---|---|---|
04/10/2023 | 11:00-13:00 | Aula seminari | Michele D’Adderio | Introduction to matroids | [Reiner] Lecture 1 |
18/10/2023 | 11:00-13:00 | Aula seminari | Alessandro Tedeschi | Birkhoff theorem on the poset of flats of a matroid | [Reiner] Lecture 1 |
25/10/2023 | 11:00-13:00 | Aula seminari | Alessio Sgubin | Introduction to oriented matroids | [Reiner] Lecture 1 |
15/11/2023 | 11:00-13:00 | Aula seminari | Luca Vantaggio | Matroids, greedy algorithm, direct sum, deletion and contraction | [Reiner] Lectures 1 and 2 |
29/11/2023 | 11:00-13:00 | Aula seminari | Giovanni Interdonato | Duality and representability of matroids | [Reiner] Lecture 2 |
13/12/2023 | 11:00-13:00 | Aula seminari | Roberto Riccardi | Realizability of oriented matroids and zonotopes | [Reiner] Lecture 2 |
This year the topic of the seminar is “Combinatorial reciprocity theorems”. We will be reading the beautiful book by Beck and Sanyal:
[BS] Beck, Sanyal “Combinatorial reciprocity theorems: An invitation to enumerative geometric combinatorics”, AMS, 2018
Date | Time | Room | Speaker | Title | References |
---|---|---|---|---|---|
04/10/2022 | 11:00-13:00 | Aula seminari | Michele D’Adderio | Introduction to COSE 2022-2023 | [BS] Chapter 1 |
25/10/2022 | 11:00-13:00 | Aula seminari | Matteo Poletto | Introduction to posets. First reciprocity theorem. | [BS] Chapter 2 |
08/11/2022 | 11:00-13:00 | Aula seminari | Matteo Migliorini | Introduction to polytopal geometry. | [BS] Chapter 3, Sections 3.1, 3.2, 3.3. |
22/11/2022 | 11:00-13:00 | Aula seminari | Alessandro Tedeschi | Face poset and Euler characteristic. | [BS] Chapter 3, Sections 3.3, 3.4. |
06/12/2022 | 11:00-13:00 | Aula seminari | Alessio Sgubin | Moebius functions and Zaslavsky’s theorem | [BS] Chapter 3, Sections 3.5, 3.6. |
09/03/2022 | 11:00-13:00 | Aula riunioni | Matteo Palmieri | The Brianchon-Gram Relation | [BS] Chapter 3, Section 3.7. |
23/03/2022 | 11:00-13:00 | Aula riunioni | Philippe Nadeau | Combinatorial reciprocity for chromatic polynomials | https://arxiv.org/abs/1904.01262 |
06/04/2022 | 11:00-13:00 | Aula riunioni | Giovanni Interdonato | Generating functions and quasipolynomials | [BS] Chapter 4, Sections 4.1-4.5. |
20/04/2022 | 11:00-13:00 | Aula riunioni | Davide Chionna | Reciprocity for rational simplices | [BS] Chapter 4, Sections 4.6-4.7. |
04/05/2022 | 11:00-13:00 | Aula riunioni | Federico Lazzeri | Reciprocity for simplicial cones | [BS] Chapter 4, Section 4.8. |
18/05/2022 | 11:00-13:00 | Aula riunioni | Roberto Riccardi | Chain partitions and recirpocity | [BS] Chapter 4, Section 4.9. |
25/05/2022 | 11:00-13:00 | Aula riunioni | Lucio Tanzini | Subdivisions and Ehrhart-Macdonald reciprocity | [BS] Chapter 5, Sections 5.1-5.2. |