Tales of Random Projections: Where probability meets convex geometry
Mathematics Colloquium
Tales of Random Projections: Where probability meets convex geometry
Series: Mathematics Colloquium
Location: MATH 501
Presenter: Kavita Ramanan, Brown University
In several areas of mathematics, including probability theory, statistics and asymptotic convex geometry, one is interested in high-dimensional objects, such as measures, data or convex bodies. One common theme is to try to understand what lower-dimensional projections can say about the corresponding high-dimensional objects. I will describe how this line of inquiry leads to geometric generalizations of some classical results in probability related to tails of random projections, both in commutative and non-commutative settings, and also discuss their relation to some long standing open problems in convex geometry.
(Refreshments will be served in the Math Commons Room at 3:30 PM)