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Mathematics Weekly News

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Monday:  December 6th, 1999

No News.


Tuesday:  December 7th, 1999

Algebra & Number Theory Seminar: Chris Goff, Mathematics Department, University of Arizona, will speak on "Isomorphic Fusion Algebras of Twisted Quantum Doubles", at 2:00PM in Math 402.
Abstract: In this talk, we will define a fusion algebra by looking at module categories which admit a tensor product structure. Specifically, we will consider the twisted quantum double of a finite group, a type of quasi-Hopf algebra (or quasi-quantum group) arising from finite groups. We will then demonstrate how certain isomorphisms in the fusion algebras of twisted quantum doubles of two different families of finite groups provide support for a conjecture in the theory of vertex operator algebras (VOAs). Finally, we will describe possible avenues for future research. An understanding of basic group representation theory is assumed.

Mathematics Instruction Colloquium: Carl Lienert, Department of Mathematics, University of Arizona, will present "A 'Simple' Problem in Number Theory", at 4:15PM in Math 501. Refreshments beforehand.
Abstract: Gauss was the first to give a proof of the Law of Quadratic Reciprocity, calling his result the Theorema Aureum. Gauss ultimately gave at least 6 different proofs of the theorem. By one mathematician's count, there are now 52 such proofs! We will look at a brief history of the problem and its motivation. Although Gauss' first proof was not exactly "simple," we will examine one of his proofs.


Wednesday:  December 8th, 1999

Graduate Student Seminar: Chris Lott, Department of Mathematics, University of Arizona, will speak on "Ergodic Theory on Moduli Spaces" at 12:00PM in Math 402. Please see Grad Colloquium posters/website.
Abstract: First, I will define ergodicity, explain what it means for a function to be ergodic on a space and give some examples on simple spaces. Then, I will discuss moduli spaces and what it means for a function to be ergodic on a moduli space. Finally, I will state a theorem and give what proof I can in the remaining time.


Thursday:  December 9th, 1999

Dead Day. No Classes


Friday:  December 10th, 1999

First Day of Finals.


Departmental Announcements

No Announcements.