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Topology and Complexity

Topology, the "rubber sheet geometry", studies properties that do not change when objects are pulled and stretched. Accepting somewhat fuzzy input, it is the part of mathematics typically applied when qualitative conclusions are reached. However, it has a quantitative aspect important in understanding singularities, and potentially, high-dimensional noisy data and aspects of large-scale geometry of networks. Prof. Weinberger will discuss a variety of phenomena that arise or are illuminated by tracking of the complexity of geometric constructions.

December 3, 2014: Learning to Move

Basic motor skills such as looking, reaching and walking do not simply appear as the result of maturation. Rather, infants must learn to move. Learning entails discovering new forms of movements to suit the task at hand and using perceptual information to select and modify movements adaptively.

Learning to Move

Gerald D. Fischbach Auditorium 160 5th Avenue, New York, NY, United States

Basic motor skills such as looking, reaching and walking do not simply appear as the result of maturation. Rather, infants must learn to move. Learning entails discovering new forms of movements to suit the task at hand and using perceptual information to select and modify movements adaptively.

Why Prove Theorems?

Since at least the time when it was understood that the circumference of a circle is pi multiplied by its diameter, the applications of mathematics have raced on far ahead of the foundations of the subject itself. By considering a variety of examples, principally from the 19th century, we will explore the tension between mathematics and its applications, and reasons why it remains a valuable and rewarding occupation to develop the necessary framework for existing and “well understood” theories.

MEG/EEG Part 2: Analysis, Application and Interpretation

Gerald D. Fischbach Auditorium 160 5th Avenue, New York, NY, United States

Speakers: Jonathan Simon, University of Maryland Timothy Roberts, Children's Hospital of Philadelphia Jonathan Winawer, New York University   https://vimeo.com/117625451 Signal Analysis Primer and Applications Jonathan Z. Simon, University of Maryland Modern cognitive neuroscientists using electrocorticography (ECoG), MEG and electroencephalography (EEG) are under substantial pressure to use advanced signal processing and analysis techniques, but typically receive...

Non-Archimedean and Tropical Geometry (2015)

February 1-7, 2015   Organizers: Matt Baker, Georgia Institute of Technology Same Payne, Yale University This symposium focused on setting a clear agenda for future developments in the related fields of tropical and nonarchimedean analytic geometry. One of the goals of the meeting was to produce high-quality expository material presenting the methods, results and ambitions...


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