Advanced School and Conference on Homological and Geometrical Methods in Representation Theory

International Center for Theoretical Physics (ICTP, Trieste, Italy)

18 January til 5 February, 2010

Speakers and titles

First week (Monday 18 to Friday 22 of January 2010)

1. Introduction to Auslander-Reiten theory (I. Reiten, Re)
2. Triangulated categories versus module categories (D. Happel, Ha)
3. Algebras of small homological dimension (A. Skowronski
, Sk), notes
4. Koszul algebras and applications to algebraic geometry (D. Zacharia, Za)

Special lecture: Manel Cardona (Max-Planck Institute, Stuttgart): Max Planck: a Conservative Revolutionary


RRV=registration, reimbursement, visa

 

Monday

Tuesday

Wednesday

Thursday

Friday

8h30-9h30

RRV

Sk1

Re3

Sk3

Ha4

9h45-10h45

RRV

Re2

Za2

Ha3

Re5

11h15-12h15

12h: Opening

Za1

11h: Cardona

Re4

Za4

 

 

 

 

 

 

14h-15h

 

 

 

 

 

15h15-16h15

Re1

Sk2

 

Za3

Contr. Talks (*)

 

16h45-17h45

 

Ha1

Ha2

 

Sk4

Contr. Talks (*)

 

(*) 15h15-15h45: Kwiecien, 15h50-16h15: Muchtadi-Alamsyah, 16h15-16h45: break, 16h45-17h10: Cerulli, 17h20-17h45: Garcia-Iglesias

 

Giovanni Cerulli, Quiver Grassmannians associated with the Kronecker quiver, notes

Augustin Garcia-Iglesias, Representations of finite dimensional pointed Hopf algebras over S_3, slides

Marta Kwiecien, Selfinjective algebras of strictly canonical type

Intan Muchtadi-Alamsyah, Minimal prime ideals of Ore extensions over commutative Dedeking domains, slides

Second week (Monday 25 to Friday 29 of January 2010)


5. Degenerations of algebras (J. A. de la Pena, dP), notes
6. Stable categories of Cohen-Macaulay modules (O. Iyama, Iy)
7. Singularities in module varieties (G. Zwara, Zw)
8. Rings of singularities (H. Lenzing, Le), notes
9.
Cluster algebras and categories (B. Keller, Ke), notes

 

Monday

Tuesday

Wednesday

Thursday

Friday

8h30-9h30

Le1

Le3

dP3

Ke1

Ke3

9h45-10h45

Iy1

dP2

Iy3

Iy4

Ke4

11h15-12h15

dP1

Zw2

dP4

Zw3

Zw5

 

 

 

 

 

 

14h-15h

 

 

 

 

 

15h15-16h15

Zw1

Iy2

 

Ke2

Contr. Talks (*)

16h45-17h45

Le2

Le4

 

Zw4

Contr. Talks (*)

 

(*) 15h15-15h40: Howard, 15h50-16h15: Herschend, 16h15-16h45: break, 16h45-17h10: Mroz, 17h20-17h45: Darpö

 

Erik Darpö: The Clebsch-Gordan problem for the polynomial algebra over a perfect field

Martin Herschend, 2-representation-finite algebras and selfinjective quivers with potential

Thomas Troy Howard, Complexity and stable derived categories

Andrzej Mroz, On the isomorphism problem for modules over algebras, slides

Conference (Monday February 1 to Friday February 5, 2010)

 

Monday

Tuesday

Wednesday

Thursday

Friday

08h30-09h10

Krause

Nakanishi

Leclerc

Hille

Erdmann

09h20-10h00

Bergh

Malicki

Saorin

Buan

Chen

10h00-10h30

Break

Break

Break

Break

Coffee break

10h30-11h10

Kerner

Coelho

Meltzer

Kussin

Amiot

11h20-12h00

Redondo

Drozd

Bazzoni

Schroer

Oppermann

 

 

 

 

 

 

14h00-14h40

Cibils

Bobinski

 

Geiss

Ladkani

14h50-15h30

Angeleri-Hugel

Solberg

 

Reineke

Buchweitz

15h30-16h00

Coffee break

Coffee break

 

Coffee break

 

16h00-16h30

Hajduk

Perez

 

Yang

 

16h45-17h15

Demonet

Jiang

 

 

 

 

·        Claire Amiot, Cluster equivalences and graded derived equivalences

·        Lidia Angeleri Hügel, Large tilting modules over tame hereditary algebras

·        Silvana Bazzoni, Derived equivalence induced by infinitely generated n-tilting modules, slides

·        Alak Bakke Buan, From m-clusters to m-non-crossing partitions via exceptional sequences

·        Petter Andreas Bergh, The shape of the AR-quiver of a selfinjective algebra

·        Grzegorz Bobinski, The graded centers of derived discrete algebras

·        Ragnar-Olaf Buchweitz, The Kozsul complex blows up a point

·        Claude Cibils, Functoriality of the intrinsic fundamental group

·        Flavio Coelho, The representation dimension of some classes of algebras

·        Laurent Demonet, Group actions on generalized cluster categories, slides

·        Xiao-Wu Chen, Expansions of abelian categories

·        Karin Erdmann, Homological properties of Hecke algebras and related algebras

·        Christof Geiss, Cluster character identities for unipotent cells

·        Adam Hajduk, Almost Galois covering functors and preservation of representation type, slides

·        Lutz Hille, Quiver Representations and the Irreducible Components in the Complement of the Richardson Orbit

·        Yong Jiang, The elements in crystal bases corresponding to exceptional modules

·        Otto Kerner, Modules of finite complexity over selfinjective algebras

·        Henning Krause, Cosupport and colocalizing subcategories of modules and complexes, slides

·        Dirk Kussin, Weighted projective lines and invariant subspaces of nilpotent operators

·        Sefi Ladkani, On derived equivalences of simplices, prisms and boxes, slides

·        Bernard Leclerc, Unipotent cells in Kac-Moody groups, slides

·        Piotr Malicki, Degenerations in the additive categories of almost cyclic coherent Auslander-Reiten components, slides1, slides2

·        Hagen Meltzer, Branch enlargements of concealed-canonical algebras and trisections of module categories

·        Tomoki Nakanishi, Periodicities of cluster algebras and cluster categories from quantum groups

·        Steffen Oppermann, Cluster equivalences and graded derived equivalences

·        Efren Perez-Terrazas, Dit algebras and generic tameness under base field extension

·        Maria Julia Redondo, Connected gradings and fundamental group, slides

·        Markus Reineke, DT-invariants from quiver moduli

·        Manolo Saorín, Generalized epimorphisms of K-categories and reflective subcategories of their module categories

·        Jan Schroeer, Frobenius categories arising in Lie theory

·        Oeyvind Solberg, On radical cube zero selfinjective algebras and support varieties

·        Dong Yang, New realizations of cluster tubes

Photos and video

pic01, pic02, pic03, pic04, pic05, pic06, video01

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http://www.math.jussieu.fr/~keller/ictp2009/schedule.html