School

The aim of the school is to introduce some of the currently most active research topics of the subject mainly to Iranian algebra community and also to neighboring countries. Some of the central topics that will be discussed during the School by well-known experts are: support varieties and connection to group representations, triangulated categories, categorical and combinatorial aspects of recent generalizations of tilting theory, and model theoretical aspects of representation theory.

Lecturers

  • Karin Baur, Universität Graz, Austria
    Grassmannian cluster categories
  • Apostolos Beligiannis, University of Ioannina, Greece
    Variations on a theme of Auslander-Tachikawa
  • Aslak Bakke Buan, Norwegian University of Science and Technology, Norway
    Tilting Theory and Generalizations
  • Eleonore Faber, University of Leeds, United Kingdom
    The McKay correspondence and noncommutative desingularizations
  • Bernhard Keller, University of Paris VII, France
    Derived categories and homological invariants
  • Henning Krause, Bielefeld University, Germany
    An introduction to Support Theory
  • Amnon Neeman, Australian National University, Australia
    Dimension and approximability in triangulated categories
  • Mike Prest, University of Manchester, United Kingdom
    Definability in module theory
  • Hugh Thomas, Université du Québec à Montréal, Canada
    Lattice theory of torsion classes

Important Date:

Registration Deadline: January 31, 2019 (Bahman 11, 1397).  Please note that, as it is mentioned in the CIMPA page of the School, the deadline for applying for CIMPA support is December 16, 2018.

There is no registration fee, but in order to cover common lunches for everyone during the school, a quantity of 100 euro (120 USD) must be paid by all non-funded participants. The fee will be due in time of registration at the first day of School.

It is 2,500,000 Rials for Iranians (1,250,000 Rials for graduate students). The bank receipt of payment is needed for registration.

Program:

08:30 – 09:30Registration
09:30 – 10:00Opening
10:00 – 11:00Derived categories and homological invariants I
Bernhard Keller
11:00 – 12:00Tilting theory and generalizations I
Aslak Bakke Buan
12:00 – 14:00Lunch
14:00 – 15:00Variations on a theme of Auslander-Tachikawa I
Apostolos Beligiannis
15:00 – 15:30Break
15:30 – 16:30An introduction to Support Theory I
Henning Krause
16:30 – 17:00Break
17:00 – 18:00Grassmannian cluster categories I
Karin Baur
08:30 – 09:30Derived categories and homological invariants II
Bernhard Keller
09:30 – 10:00Break
10:00 – 11:00Tilting theory and generalizations II
Aslak Bakke Buan
11:00 – 12:00Variations on a theme of Auslander-Tachikawa II
Apostolos Beligiannis
12:00 – 14:00Lunch
14:00 – 15:00An introduction to Support Theory II
Henning Krause
15:00 – 15:30Break
15:30 – 16:30Grassmannian cluster categories I
Karin Baur
16:30 – 17:00Break
17:00 – 18:00Problem Solving
08:30 – 09:30Derived categories and homological invariants III
Bernhard Keller
09:30 – 10:00Break
10:00 – 11:00Tilting theory and generalizations III
Aslak Bakke Buan
11:00 – 12:00Variations on a theme of Auslander-Tachikawa III
Apostolos Beligiannis
12:00 – 14:00Lunch
14:00 –Free Afternoon
08:30 – 09:30Derived categories and homological invariants IV
Bernhard Keller
09:30 – 10:00Break
10:00 – 11:00Tilting theory and generalizations IV
Aslak Bakke Buan
11:00 – 12:00Variations on a theme of Auslander-Tachikawa IV
Apostolos Beligiannis
12:00 – 14:00Lunch
14:00 – 15:00An introduction to Support Theory III
Henning Krause
15:00 – 15:30Break
15:30 – 16:30Grassmannian cluster categories III
Karin Baur
16:30 – 17:00Break
17:00 – 18:00Problem Solving
08:30 – 09:30Dimension and approximability in triangulated categories I
Amnon Neeman
09:30 – 10:00Break
10:00 – 11:00Definability in module theory I
Mike Prest
11:00 – 12:00Lattice theory of torsion classes I
Hugh Thomas
12:00 – 14:00Lunch
14:00 – 15:00An introduction to Support Theory IV
Henning Krause
15:00 – 15:30Break
15:30 – 16:30Grassmannian cluster categories IV
Karin Baur
16:30 – 17:00Break
17:00 – 18:00Problem Solving

Free Day (Excursion)

08:30 – 09:30Dimension and approximability in triangulated categories II
Amnon Neeman
09:30 – 10:00Break
10:00 – 11:00Definability in module theory II
Mike Prest
11:00 – 12:00Lattice theory of torsion classes II
Hugh Thomas
12:00 – 14:00Lunch
14:00 – 15:00The McKay correspondence and noncommutative desingularizations I
Eleonore Faber
15:00 – 15:30Break
15:30 – 16:30The McKay correspondence and noncommutative desingularizations II
Eleonore Faber
16:30 – 17:00Break
17:00 – 18:00Problem Solving
08:30 – 09:30Dimension and approximability in triangulated categories III
Amnon Neeman
09:30 – 10:00Break
10:00 – 11:00Definability in module theory III
Mike Prest
11:00 – 12:00Lattice theory of torsion classes III
Hugh Thomas
12:00 – 14:00Lunch
14:00 – 15:00The McKay correspondence and noncommutative desingularizations III
Eleonore Faber
15:00 – 15:30Break
15:30 – 16:30The McKay correspondence and noncommutative desingularizations IV
Eleonore Faber
16:30 – 17:00Break
17:00 – 18:00Problem Solving
08:30 – 09:30Dimension and approximability in triangulated categories IV
Amnon Neeman
09:30 – 10:00Break
10:00 – 11:00Definability in module theory IV
Mike Prest
11:00 – 12:00Lattice theory of torsion classes IV
Hugh Thomas
12:00 – 14:00Lunch
14:00 – 15:00Problem Solving
15:00 – 15:30Break
15:30 – 16:30Problem Solving
16:30 – 17:00Break
17:00 – 18:00Problem Solving