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Project C10: Local cohomology and support in representation theory



Summary:

We will study local cohomology functors and support varieties for representations of finite dimensional algebras. Working in some appropriate derived category, we aim for classifications of thick and localizing subcategories. This provides a method to classify representations of finite dimensional algebras in terms of geometric, spectral, and combinatorial invariants, using techniques from differential graded homological algebra, commutative algebra, and stable homotopy theory.



Recent Preprints:

16036 Hao Chang, Rolf Farnsteiner PDF

Finite Group Schemes of p-rank $\le$ 1

Project: C10, C3

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Finite Group Schemes of p-rank $\le$ 1


Authors: Hao Chang, Rolf Farnsteiner Projects: C10, C3
Submission Date: 2016-09-16 Submitter: Henning Krause
Download: PDF Link: 16036

16008 Christopher Voll PDF

Local functional equations for submodule zeta functions associated to nilpotent algebras of endomorphisms

Project: C10

To appear: Int. Math. Res. Not. IMRN. (2017)

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Local functional equations for submodule zeta functions associated to nilpotent algebras of endomorphisms


Authors: Christopher Voll Projects: C10
Submission Date: 2016-03-01 Submitter: Henning Krause
Download: PDF Link: 16008
To appear: Int. Math. Res. Not. IMRN. (2017)

15107 Thomas Cauwbergs, Willem Veys PDF

Monodromy Eigenvalues and Poles of Zeta Functions

Project: C10

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Monodromy Eigenvalues and Poles of Zeta Functions


Authors: Thomas Cauwbergs, Willem Veys Projects: C10
Submission Date: 2016-01-04 Submitter: Henning Krause
Download: PDF Link: 15107

15100 Grzegorz Bobinski, Henning Krause PDF

The Krull-Gabriel dimension of discrete derived categories

Project: C10

Published: Bull. Sci. Math. 139 (2015), 269-282

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The Krull-Gabriel dimension of discrete derived categories


Authors: Grzegorz Bobinski, Henning Krause Projects: C10
Submission Date: 2015-12-21 Submitter: Christopher Voll
Download: PDF Link: 15100
Published: Bull. Sci. Math. 139 (2015), 269-282

15099 Henning Krause PDF

Morphisms determined by objects and flat covers

Project: C10

Published: Forum Math. (2015)

Notes: doi:10.1515/forum-2014-0115

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Morphisms determined by objects and flat covers


Authors: Henning Krause Projects: C10
Submission Date: 2015-12-21 Submitter: Christopher Voll
Download: PDF Link: 15099
Published: Forum Math. (2015)
Notes: doi:10.1515/forum-2014-0115

15098 Henning Krause PDF

The artinian conjecture (following Djament, Putman, Sam, and Snowden)

Project: C10

Published: Proceedings of the 47th symposium on ring theory and representation theory (Osaka, 2014), Saitama University, Japan, (2015), 104-111

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The artinian conjecture (following Djament, Putman, Sam, and Snowden)


Authors: Henning Krause Projects: C10
Submission Date: 2015-12-21 Submitter: Christopher Voll
Download: PDF Link: 15098
Published: Proceedings of the 47th symposium on ring theory and representation theory (Osaka, 2014), Saitama University, Japan, (2015), 104-111

15097 Dave Benson, Srikanth Iyengar, Henning Krause, Julia Pevtsova PDF

Stratification and $\pi$-cosupport: Finite groups

Project: C10

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Stratification and $\pi$-cosupport: Finite groups


Authors: Dave Benson, Srikanth Iyengar, Henning Krause, Julia Pevtsova Projects: C10
Submission Date: 2015-12-21 Submitter: Christopher Voll
Download: PDF Link: 15097

15096 Dave Benson, Srikanth Iyengar, Henning Krause, Julia Pevtsova PDF

Stratification for module categories of finite group schemes

Project: C10

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Stratification for module categories of finite group schemes


Authors: Dave Benson, Srikanth Iyengar, Henning Krause, Julia Pevtsova Projects: C10
Submission Date: 2015-12-21 Submitter: Christopher Voll
Download: PDF Link: 15096

15095 Henning Krause PDF

Deriving Auslander's formula

Project: C10

Published: Documenta Math. 20 (2015), 669-688

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Deriving Auslander's formula


Authors: Henning Krause Projects: C10
Submission Date: 2015-12-21 Submitter: Christopher Voll
Download: PDF Link: 15095
Published: Documenta Math. 20 (2015), 669-688

15093 Nathan Broomhead, David Pauksztello, David Ploog PDF

Discrete triangulated categories

Project: C10

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Discrete triangulated categories


Authors: Nathan Broomhead, David Pauksztello, David Ploog Projects: C10
Submission Date: 2015-12-18 Submitter: Henning Krause
Download: PDF Link: 15093



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