Research-Oriented Seminar In COmbinatorics (ROSICO)​

This is a reading seminar for PhD students and researchers. 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!

2025-2026

The topic of the second semester of this year is "Integrable systems and combinatorics". We will extract our reading material from the following sources:

[D] Deift "Integrable Systems and Combinatorial Theory", pdf

[W] Wolf " Random Matrix Theory: A Combinatorial Proof of Wigner's Semicircle Law ", link

[Z] Zvonkin "Matrix integrals and map enumeration: an accessible introduction", pdf

DATETIMEROOMSPEAKERTITLEREFERENCES
26/03/202611:00-13:00Aula Bianchi Scienze (SNS)Alessandra CaraceniIntroduction to integrable systems.[D]
08/04/202611:00-13:00Aula Volterra (SNS)Roberto ToccoRandom matrices and the semicircle law[W], [Z]
23/04/202611:00-13:00Aula Mancini (SNS)Michele D'Adderio
07/05/202611:00-13:00Aula Mancini (SNS)
21/05/202511:00-13:00Aula Fermi (SNS)Leonardo Patimo

The topic of the first semester of this year is "Lorentzian polynomials". We will try to read parts of the following important article:

[BH] Brändén, Huh "Lorentzian polynomials", pdf

DATETIMEROOMSPEAKERTITLEREFERENCES
08/10/202511:00-13:00Sala riunioniLuis FerroniIntroduction to stable and Lorentzian polynomials.[BH] Section 2.1
22/10/202511:00-13:00Aula seminariMichele D'AdderioM-convex sets and stable polynomials[BH] Section 2.1
05/11/202511:00-13:00Aula seminariLorenzo VenturelloL_n^d is in the closure of strict Lorentzian polynomials. Every M-convex arise as support of a Lorentzian polynomial.[BH] Sections 2.1 and 3.2
19/11/202511:00-13:00Sala riunioniRoberto RiccardiProof that L_n^d is the space of Lorentian polynomials.[BH] Sections 2.2-2.4
03/12/202511:30-13:00Aula Contini in NormaleGiulia Codenotti
17/12/202511:00-13:00Aula seminariMenghao Qu

2024-2025
2023-2024
2022-2023