About

The main theme of the proposed school are graph algebras, which are objects of growing interest that lie at the boundary between algebra and analysis among other mathematical fields. Despite being introduced only about a decade ago, Leavitt path algebras, as algebraic counterpart of graph C*-algebras, have arisen in a variety of different contexts as diverse as symbolic dynamics, noncommutative geometry, representation theory, and number theory. In particular, Leavitt path algebras can be seen as an algebraic avenue paving the road to understanding its more complex operator theory sibling, graph C*-algebras. Because of the central role these analytic objects play in both the genesis and the ongoing development of Leavitt path algebras, no history of the subject would be complete without a discussion on this topic and its close connexion to Leavitt path algebras.

 

The school will be held virtually and the link for talks will be shared with all registered participants via e-mail. If you have not received the e-mail, please kindly contact us.

Scientific Committee

Organizing Committee

  • Razieh Vahed, Khansar Campus, University of Isfahan, Iran
  • Saeed Vahdati, Khansar Campus, University of Isfahan, Iran
  • Zakeieh Tajfirouz, Khansar Campus, University of Isfahan, Iran
  • Mehdi Aaghabali, Khansar Campus, University of Isfahan, Iran
  • Mohammad Bagher Asadi, University of Tehran, Iran
  • Seyed Ebrahim Sadeghi, Campus of Agriculture and Natural resources of Tehran University , Iran

Lecturers

 

  • Pere Ara, Universitat Autonoma de Barcelona, Spain
    • The representation question and Steinberg algebras
  • Anthony Bak, University of Bielefeld, Germany
    • The geometry of groups and rings and the K-theory of quotients of path algebras
  • Lisa Orloff Clark, Victoria University of Wellington, New Zealand
    • Ample groupoid algebras
  • Nasser Golestani, Tarbiat Modares University, Iran
    • An introduction to K-theory and the Elliott classification program
  • Mark Lawson, Heriot-Watt University, UK
    • Noncommutative stone duality
  • Mike Whittaker, University of Glasgow, UK
    • Aperiodic tilings and their C*-algebras

Registration Deadline

Jun 25, 2021

School plan (The time zone is IRDT)

13:00-14:00 14:00-15:00 15:00-16:00 16:00-16:30 16:30-17:30 17:30-18:30
Opening M. Lawson
Inverse semigroups
H. Treffinger
Quivers and representations
Break C. Gil Canto
Leavitt path algebras and Cayley graphs
Problem Solving
14:00-15:00 15:00-16:00 16:00-16:30 16:30-17:30 17:30-18:30
H. Treffinger
The category of quiver representations
N. Golestani
An introduction to K-theory and the Elliott classification program
Break M. Lawson
Boolean inverse monoids
Problem Solving
14:00-15:00 15:00-16:00 16:00-16:30 16:30-17:30 17:30-18:30
C. Gil Canto
Leavitt path algebras and Cayley graphs
M. Lawson
Non-commutative Stone duality
Break H. Treffinger
Quivers of finite representation typeb
Problem Solving
14:00-15:00 15:00-16:00 16:00-16:30 16:30-17:30 17:30-18:30
N. Golestani
An introduction to K-theory and the Elliott classification program
H. Treffinger
Path algebras and module categories
Break M. Lawson
MV-algebras and Boolean inverse monoidsb
Problem Solving
13:00-14:00 14:00-15:00 15:00-16:00
L. O. Clark
Ample groupoid algebras
N. Golestani
An introduction to K-theory and the Elliott classification program
Problem Solving
14:00-15:00 15:00-16:00 16:00-16:30 16:30-17:30 17:30-18:30
M. Whittaker
Aperiodic tilings and their C*-algebras
P. Ara
Representation question and Steinberg algebras
Break A. Bak
The Geometry of Groups and Homotopy Theory
Problem Solving
13:00-14:00 14:00-15:00 15:00-16:00
P. Ara
Representation question and Steinberg algebras
L. O. Clark
Ample groupoid algebras
Problem Solving
14:00-15:00 15:00-16:00 16:00-16:30 16:30-17:30 17:30-18:30
A. Bak
Introduction to the Geometry of Rings and generalized Classical-like
N. Golestani
An introduction to K-theory and the Elliott classification program
Break M. Whittaker
Aperiodic tilings and their C*-algebras
Problem Solving
free
14:00-15:00 15:00-16:00 16:00-16:30 16:30-17:30 17:30-18:30
P. Ara
Representation question and Steinberg algebras
A. Bak
The Geometry of Rings and Homology Theory
Break M. Whittake
r Aperiodic tilings and their C*-algebras
Problem Solving
14:00-15:00 15:00-16:00 16:00-16:30 16:30-17:30 17:30-18:30
A. Bak
The K- and Homology Theory of Quotients of Path Algebras
P. Ara
Representation question and Steinberg algebras
Break M. Whittaker
Aperiodic tilings and their C*-algebras
Problem Solving