Mathematical Models for Population Dynamics Under Climate Change
Ying Zhou, Ohio State University
Monday, February 1, 2016 4:45 pm
We live in an environment that is constantly changing. On a large time scale, climate change has a global effect on the dynamics of plant populations. On a smaller scale, there are seasonal changes of local habitats, for example, flooding and drying of wetland habitats. In this talk, I will present a spatial perspective of the effects of environmental changes. What happens when the suitable habitat of a population changes its location, or its size over time? Are there limits of the population’s ability to cope with these spatial changes? How does the life history of plant species affect their persistence in the presence of environmental change? I will present a set of mathematical models aiming at answering these questions.
Reem-Kayden Center Laszlo Z. Bito '60 Auditorium Attend this information session to learn about the biology speaker series for Spring 2016, including the requirements for students registered for the course.
ATTENDANCE IS MANDATORY FOR REGISTERED STUDENTSSponsored by: Biology Program.
An Introduction to Image Processing, Its Applications, and the Problem of Imaging Through Optical Turbulence
Mario Micheli, Bowdoin College
Friday, February 5, 2016 12 pm
In this talk I will give an overview of the exciting and growing field of image processing, by introducing how images and video can be modeled and manipulated mathematically. I will give examples of the typical problems that are studied in this discipline, and present an array of applications in medicine, astronomy, atmospheric science, security, navigation systems, and others in information technology. Also, I shall present the research problem of image reconstruction under "optical turbulence", i.e. the optical phenomenon caused by light rays being refracted to form distorted images at the observer's location: this typically occurs when looking at objects at a distance in hot climates, or underwater in the presence of temperature gradients (i.e., when the water temperature is not the same at different locations). The results of an imaging recovery algorithm will also be illustrated.
Navigation and the Neural Code: The Intrinsic Geometric Structure of Place Cell Data
Nora Youngs Harvey Mudd College
Tuesday, February 9, 2016 4:45 pm
Navigation and spatial memory are two of the most vital functions of the brain. Without the ability to construct an internal map of our environment and remember how to get from one place to another, we would be lost (literally)! In 2014, the Nobel Prize in Physiology and Medicine was awarded to John O'Keefe for the discovery of place cells, a particular type of neuron essential to spatial memory. In this talk, we will consider an algebraic method to store spatial information received from place cells, and explore ways to reconstruct topological features of a spatial environment from that stored data.
In physics, supersymmetry is a pairing between the carriers of mass and energy appearing in theories of subatomic particles. These physical theories can be described using graphs known as Adinkras. We will tour the mathematics of supersymmetry by illustrating how we can construct Adinkras using binary cubes and error correcting codes. We will discuss recent results that allow us to give a geometric interpretation of these physical theories using Grothendieck’s theory of dessins d’enfants, or “children’s drawings.” This will lead us to consider spin structures and discrete Morse functions as a natural part of supersymmetry.
Reem-Kayden Center Laszlo Z. Bito '60 Auditorium The AMC 10/12 is a 25-question, 75-minute, multiple choice examination in high school mathematics designed to promote the development and enhancement of problem-solving skills.
The contest is paired with an engaging math talk at the high school level, presented by a Bard mathematician.
The Bard Math Circle hosts this annual event to promote a culture of mathematical problem solving and math enrichment in the mid-Hudson Valley.Sponsored by: Center for Civic Engagement; Division of Science, Mathematics, and Computing; Mathematics Program.