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Date |
2011 - 2012 Schedule |
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December 1, 2011
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Speaker: Abstract: |
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November 24, 2011
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Thanksgiving. No Meeting. |
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November 17, 2011
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Speaker:Tomas Kabbabe Abstract: The classification of the Rational Double Points was completed by Klein in 1872 and its elegant solution and connection to other areas of mathematics still amazes everyone with an interest in Algebraic Geometry. In this talk we'll present the classification and show how to resolve some of these singularities. No knowledge of Algebraic Geometry will be required to enjoy this talk, as the concepts necessary to understand the classification will be defined as we go. |
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November 10, 2011
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Speaker:Teddy Einstein Abstract: In this talk, I will discuss some basic examples of quantum groups and motivate their study. I will focus on quantum affine n-space and its representation theory. In particular, we would like a way to find all of the irreducible representations. I will give an introduction to some of the tools we can use to find the simple modules we desire. |
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November 3, 2011
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Speaker:Elizabeth Leyton Abstract:In this talk I will discuss the action of PSL(2,Z) on a tiling of the hyperbolic plane by ideal triangles. We will begin by recalling some constructions about projective space and hyperbolic space, move to a discussion about the group PSL(2;Z), then describe a tessellation of the hyperbolic plane by ideal triangles on which there is a natural action of this group. This talk is extremely accessible. If you want to attend a talk that you will completely follow and understand, this talk is for YOU! |
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October 27, 2011
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Speaker: Arielle Leitner Abstract: We will first go over some of the basic definitions of quadratic forms and the construction of the Witt ring. We will establish connections to division algebras, and then move everything to the abstract setting to define an Abstract Witt Ring. We will discuss some of the theory, and end with open problems. No background knowledge is necessary. |
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October 20, 2011
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Speaker:Jon Cass Abstract: |
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October 13,2011
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Speaker: Stepan Paul Astract: Given a graded ring R and a graded R-module M, we can define the minimal graded free resolution of M. For R=k[X_1,...,X_n] and M finitely generated, the resolutions produce a nice set of invariants of M known as graded betti numbers. Boij-Soederberg Theory is a relatively recent development, which gives insight into exactly what graded betti numbers can arise. |
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October 6, 2011
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Speaker: Drew Jaramillo Abstract: In many situations there are theorems in which a nil ideal (an ideal all of whose elements are nilpotent) implies it is also a nilpotent ideal (I^n=0 for some n). I will give a classical example of this phenomenon. This will give an opportunity to tour a bit of noncommutative algebra including right rings of fractions and Goldie rings. The key theorem will be Goldie's theorem which gives a connection between the two. |