Algebra Seminar
Department of Mathematics
Kansas State University
Fall 2008
Monday, 4:30pm-5:20pm
Cardwell Hall 131
Click here to learn more about the algebra research group at Kansas State University

• August 25:  No meeting on the first day of class.
• Speaker: 
• Title: 
•  Abstract:  

• September  1:  (Labor Day)
• Speaker:
• Title:
• Abstract:

• September 8: 
• Speaker: Alexander Rosenberg, Kansas State University
• Title: Geometry of triangulated categories. I
• Abstract: The purpose of the talk is to sketch the
  first notions and facts of pseudo-geometry (in particular,
  descent) and geometry (that is spectral theory) of 'spaces'
  represented by triangulated categories.
  This is a simple, but, quite meaningful piece
  of derived noncommutative algebraic geometry.
  

• September 15: 
• Speaker: Alexander Rosenberg, Kansas State University
• Title: Geometry of triangulated categories. II
• Abstract: The purpose of the talk is to sketch the
  first notions and facts of pseudo-geometry (in particular,
  descent) and geometry (that is spectral theory) of 'spaces'
  represented by triangulated categories.
  This is a simple, but, quite meaningful piece
  of derived noncommutative algebraic geometry.
  

• September 22:
• Speaker: Alexander Rosenberg, Kansas State University
• Title: Geometry of triangulated categories. III
• Abstract: The purpose of the talk is to sketch the
  first notions and facts of pseudo-geometry (in particular,
  descent) and geometry (that is spectral theory) of 'spaces'
  represented by triangulated categories.
  This is a simple, but, quite meaningful piece
  of derived noncommutative algebraic geometry.

• September 29: 
• Speaker: Zongzhu Lin, Kansas  State University
• Title: Frobenius Twisted  Conjugacy  Classes
• Abstract: One of the important question related to many different representation theories is the classification of conjugacy classes in matrices and more general reductive algebraic groups and their Lie algebras. In this talk, I will talk about the questions of Frobenius twisted conjugacy classes and questions related to representations of quivers, and other directions such as wonderful compactifications of reductive algebraic groups.

• October 6: Students Holiday. Not class.  Seminar will not meet.  
• Speaker: A ,  U
• Title: I
• Abstract:  T

• October 13: 
• Speaker: Yan Soibelman ,  Kansas State University
• Title: Dimers,quivers and Calabi-Yau 3-folds
• Abstract: 

  I am going to discuss the following observation made by several
  mathematicians:
  representations of a quiver arising from a dimer configuration
  on a 2d torus give rise to a Calabi-Yau structure.
  

• October 20:
• Speaker: Yan Soibelman ,  Kansas State University
• Title: Dimers,quivers and Calabi-Yau 3-folds, (cont.)
• Abstract: 

  I am going to discuss the following observation made by several
  mathematicians:
  representations of a quiver arising from a dimer configuration
  on a 2d torus give rise to a Calabi-Yau structure.
  

• October 27:
• Speaker: Alexander Rosenberg ,  Kansas State University
• Title: D-modules on Flag Varieties and Representations of Lie algebras
• Abstract: This  is an introductory talk aimed at graduate students on D-modules on flag varieties and their  relations to representations of reductive Lie algebras

• November 3:
• Speaker:  Evgeny Mukhin,  Indiana University-Purdue University  Indianapolis
• Title: The gl_N \times gl_M duality and Bethe Ansatz
• Abstract: 

  We consider the classical $gl_N\times gl_M$ duality and prove
  that the dual Gaudin models are canonically isomorphic. In the process
  we discover a multiparameter generalization of the classical Capelli
  identity and an integral transform of the bispectrality involution in the
  KP hierarchy.
  

• November 10:
• Speaker: Natalia Rojkovskaia,  Kansas State University
• Title: Yangians I
• Abstract: This is an introduction to  a theory of quantum groups called  Yangians.

• November 17:
• Speaker:  Natalia Rojkovskaia,  Kansas State University
• Title: Yangians II
• Abstract: This is an introduction to  a theory of quantum groups called  Yangians

• November 24:
• Speaker: Elena Poletaeva ,   University of Texas Pan American
• Title: Exceptional superconformal algebras
• Abstract:. Well-known examples of superconformal algebras are $N = 2$ and Big $N = 4$ superconformal algebras. In 1997 V. Kac and C.-J.Cheng discovered a new exceptional $N = 6$ superconformal algebra. A remarkable property of these superalgebras is that they have embeddings into Lie superalgebras of pseudodifferential symbols on $S^{1|N}$. This allows to obtain their ``small'' representations and realizations in matrices over a Weyl algebra. A general construction of such matrix realizations is based on spin representations.
  
  

• December 1:
• Speaker:  Francois Petit,   Kansas State University
• Title: An introduction to A-infinite algebra
• Abstract:. In this talk we will present the notion of A-infinity algebra and try to explain how they can be geometrically envision. We will also discuss some fundamentals results concerning these algebras. If time permits we will say a few words about A-infinity categories.
  

• December 8:
• Speaker:  Zongzhu Lin,  Kansas State University
• Title: Generalized  Quivers and Generalized  Path Algebras
• Abstract: In this talk, I will introduce generalized path algebras and generalized path co-algebras. How these concepts are used to study the structures of algebras. Corresponding to an Artinian algebra, there is a standard quiver defined up to Morita equivalence encoding the representation theory. There is another quiver with is not invariant under Morita equivalence. This quiver can be used to study algebras up to isomorphism. Every artinian algebra is a quotient of such generalized path algebra of a generalized quiver. Some ths structures here has its corresponding structures in Non-commutive A-infinity interpretation as well.
  

Past Algebra Seminar

Back to Lin's Home page

KSU Math Dept Main Page

KSU Main page