One of the machine learning tasks is to read images and understand them. For example, a computer reads the images of MNIST data set, i.e. handwriting digits 0,..., 9 and…
The question of counting maps from marked curves with fixed tangency conditions to a divisor in the target has been studied extensively over the past 15 years. One way of…
Hida theory provides a p-adic interpolation of modular forms that have a property known as ordinary. Hida’s interpolation inspired Mazur to formulate the deformation…
Francisco Gancedo (University of Seville and IAS, Mathematics)
Physics 119
In this talk we discuss two new results about vortex filament evolution for incompressible Navier-Stokes and Euler equations. For Navier-Stokes, we prove global-in-time…
Pulmonary hypertension, i.e. high blood pressure in the lungs, is a serious medical condition that can damage the right ventricle of the heart and ultimately lead to…
Peter Shor (Massachusetts Institute of Technology)
Gross 330
Shortly after quantum mechanics was first formulated around 1930, it became evident that it was a strange theory. It took many years, however, before anybody suggested…
Peter Shor (Massachusetts Institute of Technology)
130 Physics
Among the first responses to the development of the quantum factoring algorithm was the claim that it could never possibly work — that errors in quantum mechanical…
Peter Shor (Massachusetts Institute of Technology)
DQC TBA
In 1948, Shannon developed information theory and proved that classical communication channels had a well-defined capacity that limited the rate at which you could send…
Pedro J. Saenz (University of North Carolina at Chapel Hill, Mathematics)
Physics 119
Blending experiments, simulations and theory, we will discuss two different problems that are motivated by fundamental questions in physics and engineering. In the…
