BMCC Math Department Colloquium
Organizers: David Allen, Margaret H. Dean, and Marcos Zyman.
The colloquium meets at varying times and places on the BMCC campus. Cookies and tea are offered before every talk. All talks should be accessible to a general mathematical audience. Everyone is welcome. This page is constantly updated as information on speakers becomes available.
- March 25, 2015.
Noson S. Yanofsky (Brooklyn College, CUNY)
An invitation to quantum computing.
Abstract: Quantum computing is a new and exciting field that tries to har- ness the strange and wonderful parts of quantum mechanics to make computers better. The field is also important in explaining the important role of information and quantum information in the natural sciences. Surprisingly, a large part of quantum computing can be simply understood with the knowledge of manipulating matrices with complex numbers. We will show the connection between complex linear algebra and quantum computing. We will start with small physical systems and explain what they have to do with computers. We will move on to give a small lesson in quantum mechanics. We will conclude with a simple algorithm for quantum computing.
- April 22, 2015.
Cheyne Miller (Iona College)
Iterated integrals for local zig-zag Hochschild complexes.
Abstract: In this talk I will discuss a new higher Hochschild Complex, complete with a shuffle product, to model Iterated integrals in a non-abelian setting. While such Iterated Inte- grals can also be found in recent studies on Control Theory and multiple Dedekind Zeta Values, we use 2-holonomy on a non-abelian gerbe as our motivation. In particular, given a gerbe with structure 2-group coming from a crossed module of matrix-groups, then locally there is an element in our Zig- Zag Hochschild complex associated to the 2-holonomy given by such a gerbe. This talk is based on a construction central to the author's PhD Thesis.
- April 29, 2015.
3:00 pm N790
Oleg Muzician (BMCC, CUNY)
Rational maps with half-symmetry and their dynamics
Abstract: A complex valued rational map can be regarded as a differentiable map on the Riemann sphere. In this talk, we first classify rational maps that have half symmetry; that is, nontrivial rational maps of minimal degree that are invariant under pre-compositions by the elements of finite Kleinian groups (such groups will be groups of certain symmetries of a sphere). In fact, up to post- and pre-composition by Mobius transformations, all formulas can be written as real-coefficient rational maps. Then through computer-generated pictures we explore the Julia sets of such maps in some one parameter families and the Mandelbrot sets in the parameter spaces.