The workshop aims at developing further the collaborations and existing scientific partnerships between France and Italy, as well as consolidating other joint partnerships, such as with Québec and Norway. Its scientific aim is to expose the state of the art of the Algebraic combinatorics of the symmetric groups and finite groups. The topics covered include: symmetric groups and other Coxeter groups combinatorics, geometric approaches and representation theory, invariant theory, combinatorial Hopf algebras, symmetric functions and their generalizations. 

This workshop is partially supported through:

* Fondi di Ateneo 2024 "Representation Theory and Applications" Sapienza 

* ANR Projet CARPLO

* Laboratoire d'Algèbre, de Combinatoire et d'Informatique Mathématique (LACIM, UQAM)

Organizers 

Christophe Hohlweg

Loïc Foissy

Claudia Malvenuto

Speakers

Ruggero Bandiera (Sapienza Università di Roma)

Clemens Berger (Université Côte d'Azur)

Yvain Bruned  (Université de Nancy)

Angela Carnevale (University of Galway)

Frédéric Chapoton  (Université de Strasbourg)

Bérénice Delcroix-Oger (Université de Montpellier)

Sabino Di Trani (Sapienza Università di Roma)

Mario Marietti (Università Politecnica delle Marche)

Paolo Papi (Sapienza Università di Roma)

Viviane Pons  (Université de Paris-Saclay)

Frédéric Patras (Université Côte d'Azur)

Claudio Procesi (Sapienza Università di Roma)
Mercedes Rosas (Universidad de Sevilla)

Tobias Rossmann (University of Galway)

Viola Siconolfi (Politecnico di Bari)

Stephanie van Willigenburg (University of British Columbia)

Participants (Confirmed so far)

Ruggero Bandiera (Sapienza Università di Roma)

Clemens Berger (Université Côte d'Azur)

Yvain Bruned  (Université de Nancy)

Angela Carnevale (University of Galway)

Frédéric Chapoton  (Université de Strasbourg)

Flavio D'Alessandro (Sapienza Università di Roma)

Bérénice Delcroix-Oger (Université de Montpellier)

Sabino Di Trani (Sapienza Università di Roma)

Loïc Foissy (Université du Littoral Côte d'Opale, Calais)

Christophe Hohlweg (Université du Québec à Montréal)

Claudia Malvenuto (Sapienza Università di Roma)

Mario Marietti (Università Politecnica delle Marche)

Jean-Christophe Novelli (Université de Marne-La-Vallée)

Paolo Papi (Sapienza Università di Roma)

Viviane Pons  (Université de Paris-Saclay)

Frédéric Patras (Université Côte d'Azur)

Claudio Procesi (Sapienza Università di Roma)
Mercedes Rosas (Universidad de Sevilla)

Tobias Rossmann (University of Galway)

Viola Siconolfi (Politecnico di Bari)

Stephanie van Willigenburg (University of British Columbia)

Location

The conference will take place in Grand Hotel San Michele, Cetraro (CS, Italy). The accomodation will be a full board treatment.
Please let us know (email to claudia AT mat.uniroma1.it) if you have special dietary requirements, if you are accompanied or not, and which type of room you prefer:
* Double room (double occupancy)
* Double room (simple occupancy)

How to get there

From Rome or Naples 

From Rome or Naples, the simplest way to reach Cetraro is by train: check the schedule on https://www.trenitalia.com. On the website of Trenitalia, use "Roma Termini" for trains departing from Rome, and "Napoli centrale" for trains departing from Naples.
If you arrive in Rome Fiumicino Airport, there is a direct train going from "Fiumicino aeroporto" to "Roma Termini" (central station), it runs about every 15 minutes, lasts 32 minutes and costs 14,00 eu, you can purchase the Fiumicino Aeroporto to Roma Termini train ticket from the same website https://www.trenitalia.com.
If you arrive in Aeroporto Internazionale di Napoli, there is a bus service going to Napoli Centrale train station, called Alibus; the buses run every 15 minutes, lasts 15 minutes and should cost 5,00 eu.
The hotel has a pick-up service from both Cetraro and Paola train station:
(a) From Cetraro train station: 30 euros per ride.
(b) From Paola train station: service by Car (3 persons max., 50 euros each way) or by Minibus (8 persons max., 77 euros each way).
Both prices are for the vehicle and eventually can be shared by the passengers if more than one: in that case individual bills will be made by the Hotel.

From Lamezia Terme

The nearest airport is Lamezia Terme Airport. From there are then two ways to arrive to the hotel:
(a) going to Cetraro by train from Lamezia Terme Centrale (a bus connects Lamezia airport to Lamezia centrale), then the pick-up service in Cetraro see above; again you can check the schedule on https://www.trenitalia.com.
(b) The Hotel pick-up service from Lamezia Terme Airport, by Car (3 persons max., 95 euros each way) or by Minibus (8 persons max., 127 euros each way).
Both prices are for the vehicle and so can be shared by the passengers. Individual bills will be made by the Hotel.
Please note that for night shuttle services (between 1.00 am and 5.00 am) there is a 30,00 euro supplement.
In order for us to arrange and group the pick-up service, please let us know as soon as possible (if you did not do so already) of your arrival/departure times at Cetraro (or Paola) train station, or Lamezia airport. Please feel free to write to us for any questions you may have.

Program

The final SCHEDULE AND ABSTRACTS of the Workshop will be available soon.

The conference will start on Monday morning, July 6 and end on Friday July 10 at 12.00. Participants are expected to arrive on Sunday July 5 and to leave on Saturday July 11. 

The talks will take place in the Hotel Conference room. 

There will be three conferences in the morning and one by the end of the afternoon. As the goal of the conference is to enhance existing interactions and create new ones, time will be left for group discussions and group work: In between the talks (in the afternoon), the conference room will be available for us on the spot for working group talks.

Talks

Ruggero Bandiera (Sapienza Università di Roma) TBA

Clemens Berger (Université Côte d'Azur) TBA

Yvain Bruned  (Université de Nancy) TBA

Angela Carnevale (University of Galway) TBA

Frédéric Chapoton  (Université de Strasbourg) TBA

Bérénice Delcroix-Oger (Université de Montpellier) TBA

Sabino Di Trani (Sapienza Università di Roma) TBA

Mario Marietti (Università Politecnica delle Marche) TBA

Paolo Papi (Sapienza Università di Roma) TBA

Viviane Pons  (Université de Paris-Saclay) TBA

Frédéric Patras (Université Côte d'Azur) TBA

Claudio Procesi (Sapienza Università di Roma) TBA

Mercedes Rosas (Universidad de Sevilla) 

Title: The Priority Lattice

Abstract: We introduce the priority lattice, a structure arising from the priority search algorithm on rooted trees and forests. We prove bijectively that its maximal chains are labeled by parking functions, and that the maximal chains of its principal ideals are labeled by partial parking functions. We establish that it is a graded lattice and compute its Möbius function and characteristic polynomials.   A preliminary version of this work can be found at https://arxiv.org/abs/2603.28905. This is joint work with Adrián Lillo.

Tobias Rossmann (University of Galway) TBA

Viola Siconolfi (Politecnico di Bari) TBA

Stephanie van Willigenburg (University of British Columbia) 

Title: Schur functions in noncommuting variables

Abstract: In 2004 Rosas and Sagan asked whether there was a way to define a basis in the algebra of symmetric functions in noncommuting variables, NCSym, having properties analogous to the classical Schur functions, in the algebra of symmetric functions, Sym. In this talk we answer this by introducing Schur functions in noncommuting variables, which naturally refine Rosas-Sagan Schur functions, in addition to having many analogous classical properties that we will discuss. This is joint work with Farid Aliniaeifard and Shu Xiao Li and requires no prior knowledge.