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Category: List of Bases 2010 2010 ICTP activities in Trieste ICTP activities in Trieste
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lecture

Start Time:

18 January 2010 at 08:30

Ends On:

5 February 2010

Location:

Trieste - Italy

Venue:

LB (Main Lecture Hall)

Organizer(s):

Directors: B. Keller, H. Lenzing, J.A. de la Pena, A. Skowronski;Local Organizer: S. Luzzatto

Description:

MAIN TOPICS

Introduction to Auslander-Reiten theory (I. Reiten)
Algebras of small homological dimension (A. Skowronski)
Singularities in module varieties (G. Zwara)
Rings of singularities (H. Lenzing)
Degenerations of algebras (J. A. de la Peña)
Koszul algebras and applications to algebraic geometry (D. Zacharia)
Triangulated categories versus module categories (D. Happel)
Stable categories of Cohen-Macaulay modules (O. Iyama)
Cluster algebras and categories (B. Keller)

Material:

Monday, 18 January 2010

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
12:00
REGISTRATION & ADMINISTRATIVE FORMALITIES
03h30'
Room: Leonardo da Vinci Building, Lobby
12:00
12:15
Opening
15'
S. Randjbar-Daemi and H. Lenzing
Assistant Director, ICTP / Paderborn University
12:15
14:15
Lunch Break
02h00'
14:15
15:15
Introduction to Auslander-Reiten theory
01h00'
I. Reiten
NTNU, Trondheim, Norway
15:15
15:30
Break
15'
15:30
16:30
Triangulated categories versus module categories
01h00'
D. Happel
TU Chemnitz, Chemnitz, Germany
Tuesday, 19 January 2010

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:30
Algebras of small homological dimension
01h00'
A. Skowronski
Nicolaus Copernicus University, Torun, Poland
09:30
09:45
Break
15'
09:45
10:45
Introduction to Auslander-Reiten theory
01h00'
I. Reiten
NTNU, Trondheim, Norway
10:45
11:00
Break
15'
11:00
12:00
Koszul algebras and applications to algebraic geometry
01h00'
D. Zacharia
Syracuse University
12:00
15:00
Lunch Break
03h00'
15:15
16:15
Algebras of small homological dimension
01h00'
A. Skowronski
Nicolaus Copernicus University, Torun, Poland
16:15
16:45
Break
30'
16:45
17:45
Triangulated categories versus module categories
01h00'
D. Happel
TU Chemnitz, Chemnitz, Germany
17:45
18:00
Break
15'
18:00
19:30
GET-TOGETHER
01h30'
Room: Leonardo da Vinci Building Cafeteria
Wednesday, 20 January 2010

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:30
Introduction to Auslander-Reiten theory
01h00'
I. Reiten
NTNU, Trondheim, Norway
09:30
09:45
Break
15'
09:45
10:45
Koszul algebras and applications to algebraic geometry
01h00'
D. Zacharia
Syracuse University
10:45
11:00
Break
15'
11:00
12:00
Joint ICTP-SISSA-Democritos-University "Special Lecture"
01h00'
M. Cardona
Max-Planck Institute, Stuttgart, Germany
12:00
14:00
Lunch Break
02h00'
Thursday, 21 January 2010

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:30
Algebras of small homological dimension
01h00'
A. Skowronski
Nicolaus Copernicus University, Torun, Poland
09:30
09:45
Break
15'
09:45
10:45
Triangulated categories versus module categories
01h00'
D. Happel
TU Chemnitz, Chemnitz, Germany
10:45
11:00
Break
15'
11:00
12:00
Introduction to Auslander-Reiten theory
01h00'
I. Reiten
NTNU, Trondheim, Norway
12:00
15:15
Lunch Break
03h15'
15:15
16:15
Koszul algebras and applications to algebraic geometry
01h00'
D. Zacharia
Syracuse University
16:15
16:45
Break
30'
16:45
17:45
Algebras of small homological dimension
01h00'
A. Skowronski
Nicolaus Copernicus University, Torun, Poland
Friday, 22 January 2010

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:30
Triangulated categories versus module categories
01h00'
D. Happel
TU Chemnitz, Chemnitz, Germany
09:30
09:45
Break
15'
09:45
10:45
Introduction to Auslander-Reiten theory
01h00'
I. Reiten
NTNU, Trondheim, Norway
10:45
11:00
Break
15'
11:00
12:00
Koszul algebras and applications to algebraic geometry
01h00'
D. Zacharia
Syracuse University, Syracuse NY, USA
12:00
15:15
Lunch Break
03h15'
15:15
15:40
Selfinjective algebras of strictly canonical type
25'
M. Kwiecien
University of Warmia and Mazury, Olsztyn, Poland
15:40
15:50
Break
10'
15:50
16:15
Minimal prime ideals of Ore extensions over commutative Dedekind domains
25'
I. Muchtadi-Alamsyah
Bandung Institute of Technology, Bandung, Indonesia
16:15
16:45
Break
30'
16:45
17:10
Quiver Grassmannians associated with the Kronecker quiver
25'
G. Cerulli Irelli
University of Padova, Padova, Italy
17:10
17:20
Break
10'
17:20
17:45
Representations of finite dimensional pointed Hopf algebras over S_3
25'
A. Garcia Iglesias
National University of Cordoba, Cordoba, Argentina
Monday, 25 January 2010

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:30
Rings of singularities
01h00'
H. Lenzing
Paderborn University, Paderborn, Germany
09:30
09:45
Break
15'
09:45
10:45
Stable categories of Cohen-Macaulay modules
01h00'
O. Iyama
Nagoya University, Nagoya, Japan
10:45
11:15
Break
30'
11:15
12:15
Degenerations of algebras
01h00'
J.A. de La Pena
UNAM, Mexico City, Mexico
12:15
15:15
Lunch break
03h00'
15:15
16:15
Singularities in module varieties
01h00'
G. Zwara
Nicolaus Copernicus University, Torun, Poland
16:15
16:45
Break
30'
16:45
17:45
Rings of singularities
01h00'
H. Lenzing
Paderborn University, Paderborn, Germany
Tuesday, 26 January 2010

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:30
Rings of singularities
01h00'
H. Lenzing
Paderborn University, Paderborn, Germany
09:30
09:45
Break
15'
09:45
10:45
Degenerations of algebras
01h00'
J.A. de La Pena
UNAM, Mexico City, Mexico
10:45
11:15
Break
30'
11:15
12:15
Singularities in module varieties
01h00'
G. Zwara
Nicolaus Copernicus University, Torun, Poland
12:15
15:15
Lunch break
03h00'
15:15
16:15
Stable categories of Cohen-Macaulay modules
01h00'
O. Iyama
Nagoya University, Nagoya, Japan
16:15
16:45
Break
30'
16:45
17:45
Rings of singularities
01h00'
H. Lenzing
Paderborn University, Paderborn, Germany
Wednesday, 27 January 2010

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:30
Degenerations of algebras
01h00'
J.A. de La Pena
UNAM, Mexico City, Mexico
09:30
09:45
Break
15'
09:45
10:45
Stable categories of Cohen-Macaulay modules
01h00'
O. Iyama
Nagoya University, Nagoya, Japan
10:45
11:15
Break
30'
11:15
12:15
Degenerations of algebras
01h00'
J.A. de La Pena
UNAM, Mexico City, Mexico
12:15
14:00
Lunch break
01h45'
Thursday, 28 January 2010

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:30
Cluster algebras and categories
01h00'
B. Keller
Institut de Mathematiques de Jussieu, Paris, France
09:30
09:45
Break
15'
09:45
10:45
Stable categories of Cohen-Macaulay modules
01h00'
O. Iyama
Nagoya University, Nagoya, Japan
10:45
11:15
Break
30'
11:15
12:15
Singularities in module varieties
01h00'
G. Zwara
Nicolaus Copernicus University, Torun, Poland
12:15
15:15
Lunch break
03h00'
15:15
16:15
Cluster algebras and categories
01h00'
B. Keller
Institut de Mathematiques de Jussieu, Paris, France
16:15
16:45
Break
30'
16:45
17:45
Singularities in module varieties
01h00'
G. Zwara
Nicolaus Copernicus University, Torun, Poland
Friday, 29 January 2010

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:30
Cluster algebras and categories
01h00'
B. Keller
Institut de Mathematiques de Jussieu, Paris, France
09:30
09:45
Break
15'
09:45
10:45
Cluster algebras and categories
01h00'
B. Keller
Institut de Mathematiques de Jussieu, Paris, France
10:45
11:15
Break
30'
11:15
12:15
Singularities in module varieties
01h00'
G. Zwara
Nicolaus Copernicus University, Torun, Poland
12:15
15:15
Lunch break
03h00'
15:15
15:40
Complexity and stable derived categories
25'
T.T. Howard
University of California, Santa Barbara, USA
15:40
15:50
Break
10'
15:50
16:15
2-representation-finite algebras and selfinjective quivers with potential
25'
M. Herschend
Nagoya University, Nagoya, Japan
16:15
16:45
Break
30'
16:45
17:10
On the isomorphism problem for modules over algebras
25'
A. Mroz
Nicolaus Copernicus University, Torun, Poland
17:10
17:20
Break
10'
17:20
17:45
The Clebsch-Gordan problem for the polynomial algebra over a perfect field
25'
E. Darpö
University of Uppsala, Uppsala, Sweden
CONFERENCE

Room: Leonardo da Vinci Building Main Lecture Hall

1 February 2010
08:30
09:10
Cosupport and colocalizing subcategories of modules and complexes
40'
H. Krause
Paderborn University, Paderborn, Germany
09:10
09:20
Break
10'
09:20
10:00
The shape of the AR-quiver of a selfinjective algebra
40'
P.A. Bergh
NTNU, Trondheim, Norway
10:00
10:30
Break
30'
10:30
11:10
Modules of finite complexity over selfinjective algebras
40'
O. Kerner
University of Dusseldorf, Dusseldorf, Germany
11:10
11:20
Break
10'
11:20
11:30
Presentation of the ICTP Activities
10'
S. Luzzatto
ICTP, Italy
11:30
12:10
Connected gradings and fundamental group
40'
M.J. Redondo
Universidad Nacional del Sur, Bahia Blanca, Argentina
12:10
14:10
Lunch break
02h00'
14:00
14:40
Functoriality of the intrinsic fundamental group
40'
C. Cibils
Université Montpellier 2 and Université de Nice Sophia-Antipolis, France
14:40
14:50
Break
10'
14:50
15:30
Large tilting modules over tame hereditary algebras
40'
L. Angeleri-Huegel
Università degli Studi di Verona, Verona, Italia
15:30
16:00
Coffee break
30'
16:00
16:30
Almost Galois covering functors and preservation of representation type
30'
A. Hajduk
Nicolaus Copernicus University, Torun, Poland
16:30
16:45
Break
15'
16:45
17:15
Group actions on generalized cluster algebras
30'
L. Demonet
University of Caen, Caen, France
Tuesday, 2 February 2010

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:10
Periodicities of cluster algebras and cluster categories from quantum groups
40'
T. Nakanishi
Nagoya University, Nagoya, Japan
09:10
09:20
Break
10'
09:20
10:00
Degenerations in the additive categories of almost cyclic coherent Auslander-Reiten components
40'
P.P. Malicki
Nicolaus Copernicus University, Torun, Poland
10:00
10:30
Break
30'
10:30
11:10
The representation dimension of some classes of algebras
40'
F.Ulhoa Coelho
Universidad de Sao Paulo, Sao Paulo, Brazil
11:10
11:20
Break
10'
11:20
12:00
Cohen-Macaulay modules over surface and hypersurface singularities
40'
Y. Drozd
Institute of Mathematics of NAS, Kyiv, Ukraine
12:00
14:00
Lunch break
02h00'
14:00
14:40
The graded centers of derived discrete algebras
40'
G.A. Bobinski
Nicolaus Copernicus University, Torun, Poland
14:40
14:50
Break
10'
14:50
15:30
On radical cube zero selfinjective algebras and support varieties
40'
O. Solberg
NTNU, Trondheim, Norway
15:30
16:00
Coffee break
30'
16:00
16:30
Ditalgebras and generic tameness under base field extensions
30'
J.E. Perez-Terrazas
Universidad Autonoma de Yucatan, Yucatan, Mexico
16:30
16:45
Break
15'
16:45
17:15
The elements in crystal bases corresponding to exceptional modules
30'
Y. Jiang
Bonn University, Bonn, Germany
Wednesday, 3 February 2010

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:10
Unipotent cells in Kac-Moody groups
40'
B. Leclerc
Université de Caen, Caen, France
09:10
09:20
Break
10'
09:20
10:00
Generalized epimorphisms of K-categories and reflective subcategories of their module categories
40'
M. Saorin
Universidad de Murcia, Murcia, Spain
10:00
10:30
Coffee break
30'
10:30
11:10
Branch enlargements of concealed-canonical algebras and trisections of module categories
40'
H. Meltzer
University of Szczecin, Szczecin, Poland
11:10
11:20
Break
10'
11:20
12:00
Derived equivalence induced by infinitely generated n-tilting modules
40'
S. Bazzoni
Università degli Studi di Padova, Padova, Italy
12:00
14:00
Lunch break
02h00'
Thursday, 4 February 2010

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:10
Quiver Representations and the Irreducible Components in the Complement of the Richardson Orbit
40'
L. Hille
Universität Münster, Münster, Germany
09:10
09:20
Break
10'
09:20
10:00
From m-clusters to m-non-crossing partitions via exceptional sequences
40'
A.B. Buan
NTNU, Trondheim, Norway
10:00
10:30
Break
30'
10:30
11:10
Weighted projective lines and invariant subspaces of nilpotent operators
40'
D. Kussin
University of Paderborn, Paderborn, Germany
11:10
11:20
Break
10'
11:20
12:00
Frobenius categories arising in Lie theory
40'
J. Schroer
University of Bonn, Bonn, Gremany
12:00
14:00
Lunch break
02h00'
14:00
14:40
Cluster character identities for unipotent cells
40'
C. Geiss
UNAM, Mexico City, Mexico
14:40
14:50
Break
10'
14:50
15:30
DT-invariants from quiver moduli
40'
M. Reineke
University of Wuppertal, Wuppertal, Germany
15:30
16:00
Coffee break
30'
16:00
16:30
New realizations of cluster tubes
30'
D. Yang
Tsinghua University, Beijing, P.R. of China
Friday, 5 February 2010

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:10
Homological properties of Hecke algebras and related algebras
40'
K. Erdmann
University of Oxford, Oxford, UK
09:10
09:20
Break
10'
09:20
10:00
Expansions of abelian categories
40'
X.-W. Chen
University of Science & Technology of China, Hefei, P.R.China
10:00
10:30
Coffee break
30'
10:30
11:10
Cluster equivalences and graded derived equivalences
40'
C. Amiot
NTNU, Trondheim, Norway
11:10
11:20
Break
10'
11:20
12:00
Cluster equivalences and graded derived equivalences
40'
S. Oppermann
NTNU, Trondheim, Norway
12:00
14:00
Lunch break
02h00'
14:00
14:40
On derived equivalences of simplices, prisms and boxes
40'
S. Ladkani
Max-Planck-Institute of Mathematics, Bonn, Germany
14:40
14:50
Break
10'
14:50
15:30
The Koszul Complex blows up a point
40'
R.-O. Buchweitz
University of Toronto Scarborough, Toronto, Canada
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