The "P vs. NP" problem is a central outstanding problem of
computer science and mathematics. In this talk, Professor Wigderson
attempts to describe its technical, scientific, and philosophical
content, its status, and the implications of its two...
After recalling the definition of Q-curvature and some
applications, we will address the question of prescribing it
through a conformal deformation of the metric. We will address some
compactness issues, treated via...
Peter Sarnak,
Professor, School of Mathematics. Through the works of Fermat,
Gauss, and Lagrange, we understand which positive integers can be
represented as sums of two, three, or four squares. Hilbert's 11th
problem, from 1900, extends this...