Cimpa School — From Dynamics to Algebra and Representation Theory and Back

The school will focus on the interplay between dynamics and algebra, introducing participants to key subjects in the study of these interactions: Groupoid convolution algebras and tensor categories. The techniques developed will be applied to Leavitt path algebras, which encode combinatorics and dynamics of graphs.

In recent years groupoids have become a central point in the study of the interplay between dynamics and algebra. We will present an introductory course on convolution algebras associated to groupoids. We will offer two courses in the subject of Leavitt path algebras, one introductory and one advanced. On another axis for the school, we focus on tensor categories. We will present an introductory course in the theory of representations of groups, which will motivate students for the course on finite tensor categories, since the latter encompasses the former. The finite tensor category course will gently introduce the students to the subject, with examples to illustrate the theory and presenting some recent developments in this subject. In this direction we will also offer an advanced course with further applications of tensor categories.

Confirmed Speakers

• Luz Adriana Mejía Castaño (Universidad del Norte – Colombia)
• Lia Vas (University of the Sciences – USA)
• Gilles Gonçalves de Castro (UFSC - Brasil)
• Danie W. Wyk (Dartmouth College – USA)
• Martín Mombelli (Universidad Nacional de Córdoba – Argentina)
• Roozbeh Hazrat (Western Sydney University – Australia)
• Bojana Femić (Mathematical Institute of the Serbian Academy of Sciences and Arts – Serbia)
• Dirceu Bagio (UFSM – Brazil)
• Yolanda Cabrera Casado (University of Málaga – Spain)
• Héctor Pinedo (Industrial university of Santander – Colombia)
• Benjamin Steinberg (The City College of New York – USA)
• Francesca Mantese (Università di Verone – Italy)
• Thaisa Tamusinas (UFRGS – Brazil)
• Daniel Gonçalves (UFSC – Brazil)
• Guillermo Cortiñas (Universidad de Buenos Aires – Argentina)
• Alfigen Sebandal (Iligan Institute of Technology – Philippines)
• Mykola Khrypchenko (UFSC – Brazil)

Scientific committee

• Carolina Araujo (IMPA – Brazil)
• Daniel Gonçalves (UFSC – Brazil)
• Martín Mombelli (National University of Cordoba – Argentina)
• Mercedes Siles Molina (Universidad de Málaga – Spain)

Organizing Commitee

• Daniel Gonçalves (Local Coordinator – UFSC – Brazil)
• Luiz Gustavo Cordeiro (UFSC – Brazil)
• Maria Inez Cardoso Gonçalves (UFSC – Brazil)
• Virgínia Silva Rodrigues (UFSC – Brazil)
• Yolanda Cabrera Casado (External Coordinator - Universidad de Málaga – Spain)

Important dates and deadlines

• Registration deadline: December 10th, 2021.
• Poster submission deadline: December 5th, 2021.
• Paper submission deadline (for the Special Issue of the Journal of Algebraic Combinatorics ): March 1st, 2022.
• Deadlines for submission of revised papers: October 1st, 2022.
• Notification of decision for paper publication (approx.): December 1st, 2022

Conference Venue

All the conference activities will take place in the auditorium of the EFI building at UFSC (Google Maps).

We will have lunch at CSC - Centro Social da Cerveja (buffet; pay-per-weight), which is just a short walk from the conference venue. Students might be eligible to have their lunch paid for by the conference organization.