7-18 Feb 2022 Florianópolis (Brazil)

Presentation

The school will focus on 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 introdutory 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 later encompass 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

  • Kulumani M. Rangaswamy (University of Colorado, Colorado Springs, EUA)

  • Francesca Mantese (Verona University, Italy)

  • Huanhuan Li ( Anhui University, China)

  • Roozbeh Hazrat ( Western Sydney University, Austrália)

 Invited Speakers

  • Gene Abrams (University of Colorado, Colorado Springs, USA)
  • Lisa Orloff Clark (Victoria University of Wellington, New Zealand)
  • Charles Starling (Carleton University, Canadá)
  • Bojana Femic (Universidad de La República, Uruguai)
  • Dolores Martín Barquero (Universidad de Málaga, Spain)
  • Cristóbal Gil Canto (Universidad de Málaga, Spain)
  • Mykola Khrypchenko (UFSC, Brazil)
  • Viviane Beuter (UDESC, Brazil)
  • Carolina Araújo (IMPA, Brazil)

Organizing Commitee

  • Daniel Gonçalves (Local Coordinator - UFSC - Brazil)
  • Maria Inez Cardoso Gonçalves (UFSC - Brazil)
  • Marianna Ravara Vago (UFSC - Brazil)
  • Virgínia Silva Rodrigues (UFSC - Brazil)
  • Yolanda Cabrera Casado (External Coordinator - Universidad de Málaga - Spain)
 
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