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Superalgebra Theory and Representations Seminar

WednesdayJan 27, 202118:30
Superalgebra Theory and Representations Seminar
Speaker:Volodymyr MazorchukTitle:Bigrassmannian permutations and Verma modulesAbstract:opens in new windowin html    pdfopens in new windowhttps://us02web.zoom.us/j/88189258443?pwd=S3JLcElXTUpadktqZ0VLWHNmVXdiQT09

In this talk I will describe how bigrassmannian permutations control the socle of the cokernel of
embeddings of Verma modules for sl_n. An application of this is a description of the socle of the cokernel of homomorphisms between Verma modules for the periplective Lie superalgebra. This is based on two joint works: one with Hankyung Ko and Rafael Mrden and another one with Chih-Whi Chen.

 

https://us02web.zoom.us/j/88189258443?pwd=S3JLcElXTUpadktqZ0VLWHNmVXdiQT09

Meeting ID: 881 8925 8443

Passcode: 40320

WednesdayJan 06, 202118:30
Superalgebra Theory and Representations Seminar
Speaker:Shifra ReifTitle:Grothendieck rings for queer Lie superalgebrasAbstract:opens in new windowin html    pdfopens in new windowHTTPS://US02WEB.ZOOM.US/J/88189258443?PWD=S3JLCELXTUPADKTQZ0VLWHNMVXDIQT09
The abstract can be found at the following seminar website:
 
https://www.math.bgu.ac.il/~entova/STARS.html
WednesdayDec 30, 202018:30
Superalgebra Theory and Representations Seminar
Speaker:Krishanu Roy Title:Pi-systems and closed systems in symmetrizable Kac-Moody algebrasAbstract:opens in new windowin html    pdfopens in new windowhttps://us02web.zoom.us/j/88189258443?pwd=S3JLcElXTUpadktqZ0VLWHNmVXdiQT09

Dynkin introduced the notion of pi-systems in the process of classifying semi-simple subalgebras of complex semi-simple Lie algebras. In a complex simple Lie algebra, pi-systems turn out to be the simple system of regular subalgebras. One can naturally generalize the notion of pi-systems to Kac-Moody algebras. In this talk, I will talk about the classification of maximal pi-systems of affine Kac-Moody algebras. If time permits, I will also talk about the Weyl orbits of certain interesting pi-systems. 

 

https://us02web.zoom.us/j/88189258443?pwd=S3JLcElXTUpadktqZ0VLWHNmVXdiQT09

 

WednesdayDec 23, 202018:30
Superalgebra Theory and Representations Seminar
Speaker:Alexander Sherman Title:Around the classification of semisimple algebraic supergroupsAbstract:opens in new windowin html    pdfopens in new windowhttps://us02web.zoom.us/j/88189258443?pwd=S3JLcElXTUpadktqZ0VLWHNmVXdiQT09

We will discuss the classification of algebraic supergroups G for which their representation category Rep(G) is semisimple (working over an algebraically closed field of characteristic zero). The statement roughly says that OSp(1|2n) is the only 'truly super' algebraic supergroup with this property. We will discuss different proofs and related ideas, with the goal of understanding in some ways how non-semisimplicity expresses itself in a supergroup.

 

https://us02web.zoom.us/j/88189258443?pwd=S3JLcElXTUpadktqZ0VLWHNmVXdiQT09

WednesdayDec 16, 202010:00
Superalgebra Theory and Representations Seminar
Speaker:Kevin Coulembier Title:A semisimple extension of the Takiff superalgebra Abstract:opens in new windowin html    pdfopens in new windowhttps://weizmann.zoom.us/j/91984558186?pwd=dzl2Z2hPRWtzaDF6R1pySXd4OGFIQT09

In this talk, I will give an overview of the (finite dimensional) representation theory of a particular semisimple Lie superalgebra. In particular, I will explain character formulas, extension groups, block decompositions, invariant theory and Koszulity.

 

https://weizmann.zoom.us/j/91984558186?pwd=dzl2Z2hPRWtzaDF6R1pySXd4OGFIQT09

WednesdayDec 09, 202018:30
Superalgebra Theory and Representations Seminar
Speaker:Thorsten Heidersdorf Title:Indecomposable summands in tensor products Abstract:opens in new windowin html    pdfopens in new windowhttps://weizmann.zoom.us/j/91984558186?pwd=dzl2Z2hPRWtzaDF6R1pySXd4OGFIQT09

I will report on some progress to understand indecomposable summands in tensor products of irreducible representations of gl(m|n). I will focus on the gl(m|2) -case (m>1) which exhibits many features of the general case. The crucial tool is the Duflo-Serganova functor and some of its variants.

 

https://weizmann.zoom.us/j/91984558186?pwd=dzl2Z2hPRWtzaDF6R1pySXd4OGFIQT09

 

WednesdayDec 02, 202018:30
Superalgebra Theory and Representations Seminar
Speaker:Nikolay GrantcharovTitle:Finite-dimensional representation theory of the queer Lie superalgebra q(n) Abstract:opens in new windowin html    pdfopens in new windowHTTPS://WEIZMANN.ZOOM.US/J/91984558186?PWD=DZL2Z2HPRWTZADF6R1PYSXD4OGFIQT09

We will first describe some classical theory of the queer Lie superalgebras q(n), such as Clifford modules, (generic) character formula for the irreducible representations, and classification of the blocks of finite-dimensional representations. Then we will focus our attention to q(3) and provide an explicit description of the Ext-quivers of the blocks. A proof of a ``virtual'' BGG reciprocity for q(n), which then gives the radical filtrations of indecomposable projective objects for q(3), will be provided.

 

 

 

 

HTTPS://WEIZMANN.ZOOM.US/J/91984558186?PWD=DZL2Z2HPRWTZADF6R1PYSXD4OGFIQT09

WednesdayNov 25, 202018:30
Superalgebra Theory and Representations Seminar
Speaker:Inna Entova-Aizenbud Title:Tensor categories and the superworldAbstract:opens in new windowin html    pdfopens in new windowhttps://weizmann.zoom.us/j/91984558186?pwd=dzl2Z2hPRWtzaDF6R1pySXd4OGFIQT09

I will give a series of introductory talks on tensor categories and how they give a natural setting for everything "super", such as Lie superalgebras and supergroups.No knowledge of category theory will be assumed - I will explain the categorical terms along the way.

 

https://weizmann.zoom.us/j/91984558186?pwd=dzl2Z2hPRWtzaDF6R1pySXd4OGFIQT09

 
 
 

 

 

 

 

WednesdayNov 18, 202018:30
Superalgebra Theory and Representations Seminar
Speaker:Inna Entova-Aizenbud Title:Tensor categories and the superworldAbstract:opens in new windowin html    pdfopens in new windowhttps://weizmann.zoom.us/j/91984558186?pwd=dzl2Z2hPRWtzaDF6R1pySXd4OGFIQT09

I will give a series of introductory talks on tensor categories and how they give a natural setting for everything "super", such as Lie superalgebras and supergroups. 
No knowledge of category theory will be assumed - I will explain the categorical terms along the way.

 

https://weizmann.zoom.us/j/91984558186?pwd=dzl2Z2hPRWtzaDF6R1pySXd4OGFIQT09

 

 

 

 

WednesdayNov 11, 202018:30
Superalgebra Theory and Representations Seminar
Speaker:Maria Gorelik Title:Introduction to Lie Superalgebras Abstract:opens in new windowin html    pdfopens in new windowhttps://weizmann.zoom.us/j/91984558186?pwd=dzl2Z2hPRWtzaDF6R1pySXd4OGFIQT09
WednesdayNov 04, 202018:30
Superalgebra Theory and Representations Seminar
Speaker:Maria Gorelik Title:Superalgebra Theory and Representations SeminarAbstract:opens in new windowin html    pdfopens in new windowhttps://weizmann.zoom.us/j/91984558186?pwd=dzl2Z2hPRWtzaDF6R1pySXd4OGFIQT09