The seminar covers topics in algebra and representation theory and its interactions with other areas of mathematics. The seminar is organised by Gustavo Jasso and Sibylle Schroll, with assistance from Kyoungmo Kim and Jan Thomm.
Depending on the occasion the talk will be held online or in person at the mathematical institute in Cologne. You can check the situation for each seperate talk below. In any case the seminar will be streamed in the following Zoom conference:
https://uni-koeln.zoom.us/j/96624754018?pwd=BYxIlnZDMmpzjIs0bM30RAoTabnl2k.1
ID: 966 2475 4018, Password: algebra
The address for the seminar when held in presence is:
Universität zu Köln: Mathematisches Institut, Stefan Cohn-Vossen Raum (Nr. 313 on floor 3)
Weyertal 86-90, 50931 Köln
If you would like to be added to the mailing list please sign up under the following link https://lists.uni-koeln.de/mailman/listinfo/cologne-algebra-seminar.
05 May 2pm in person Vladimir Dotsenko (Université de Strasbourg)
Yamaguti algebras, noncrossing partitions, and sl_2
Abstract: Among various types of algebras originating in differential geometry, those known as Lie-Yamaguti algebras still remain somewhat mysterious algebraically. Last year, A.Das introduced their 'associative' version, the Yamaguti algebras, which are supposed to serve as envelopes of Lie-Yamaguti algebras. I'll report on joint work with Frédéric Chapoton, which exhibits relationships between this algebraic structure, combinatorics of noncrossing partitions, and the Lie algebra sl_2.
14 Apr 2pm in person Xiaofa Chen (Universität zu Köln)
Gorenstein projective dg modules
Abstract: In this talk, we study the notion of Gorenstein projective dg modules over connective dg algebras, recently introduced by Zhenhui Ding in his ongoing Ph.D thesis. Motivated by Yilin Wu’s Higgs category in cluster theory, we discuss the Frobenius Morita type theorem in the context of exact dg categories. We extend known equivalence between Higgs categories concentrated in degree zero and Gorenstein projective modules over the boundary algebra, to the case of proper relative Ginzburg dg algebras with non vanishing cohomology in multiple degrees. Additionally, we will investigate an important class of examples given by the relative Ginzburg dg algebras associated with principally framed acyclic quivers. This is based on joint work with Zhenhui Ding.
21 Apr no seminar
Symplectic topology meets representation theory, Cambridge
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28 Apr 3pm in person Norihiro Hanihara (Kyushu University)
Calabi-Yau structures on singularity categories
Abstract: We study singularity categories of Gorenstein algebras. There are many such algebras whose singularity categories are known to be Calabi-Yau, for example, preprojective algebras, their quotients by tilting ideals, cluster tilted algebras, and so on. A lift of the Calabi-Yau property of a triangulated category to its dg enhancement is called a Calabi-Yau structure. In the talk we will explain a systematic construction of Calabi-Yau structures on dg singularity categories. This is based on a joint work with Bernhard Keller.
05 May 2pm in person Vladimir Dotsenko (Université de Strasbourg)
Yamaguti algebras, noncrossing partitions, and sl_2
Abstract: Among various types of algebras originating in differential geometry, those known as Lie-Yamaguti algebras still remain somewhat mysterious algebraically. Last year, A.Das introduced their 'associative' version, the Yamaguti algebras, which are supposed to serve as envelopes of Lie-Yamaguti algebras. I'll report on joint work with Frédéric Chapoton, which exhibits relationships between this algebraic structure, combinatorics of noncrossing partitions, and the Lie algebra sl_2.
12 May 3pm in person Timothy Logvinenko (Cardiff University)
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19 May 3pm in person Kevin Schlegel (Universität Bielefeld)
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26 May 3pm in person Panagiotis Kostas (Aristotle University)
Intrinsic homological algebra for triangulated categories
Abstract: In this talk we introduce homological notions -- such as finite global dimension and gorensteinness -- for compactly generated triangulated categories. We observe that the latter generalise classical notions from homological algebra and study those same attributes for other triangulated categories of interest in representation theory, such as the homotopy category of injectives of an Artin algebra or the derived category of a dg algebra. This is based on joint work with C. Psaroudakis and J. Vitória.
03 Jun 4:30pm Hörsaal (Room 203) Neeman Amnon (Università degli Studi di Milano Statale)
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09 Jun 3pm in person tba ()
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16 Jun 3pm in person tba ()
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23 Jun no seminar
Workshop and International Conference on Representations of Algebras (ICRA 22), Grenoble
30 Jun no seminar
Workshop and International Conference on Representations of Algebras (ICRA 22), Grenoble
07 Jul no seminar
Representation Theory of Algebras and its Applications, Bonn
14 Jul 3pm in person Ryu Tomonaga (The University of Tokyo)
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21 Jul 3pm in person Mika Jäderberg (Linköpings Universitet)
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