Events and Activities

Random walks on a graph, and Markov chains in general, provide endless fascination and myriad applications (for example, in sampling and approximation algorithms.)  A nearly trivial but endlessly useful tool in this theory is the "harmonic lemma for...

Abstract: At wavelengths large compared to the size of the source, any compact object admits a point-particle description, with finite-size corrections encoded by Love numbers. In this talk, I will discuss a novel method for computing gravitational...

This awareness seminar is encouraged for IAS Scholars and their families.

Even mathematicians make most of their daily decisions without mathematical help, guided by reasoning and intuition that are usually reliable. But now and then our intuition will lead us off the rails. Can we tell when this is liable to happen, and...

Given a proper smooth family of algebraic varieties, its Gauss--Manin connections are fundamental invariants that encode the algebraic/differential information of this family. When the varieties are defined over a $p$-adic local field and the family...

This awareness seminar is open to Institute Staff.

A cornerstone result in complexity theory is that O(1)-depth circuits with unbounded fan-in AND/OR gates computing the parity of an n bit string must have exp(n) size. Two completely different proofs of this are known, both dating back to the 1980's...