Video Lectures

A unified duality-based approach to Bayesian mechanism design

February 14, 2017

Matt Weinberg

We provide a duality framework for Bayesian Mechanism Design. Specifically, we show that the dual problem to revenue maximization is a search over virtual transformations. This approach yields a unified view of several recent breakthroughs in...

video lecture

Harmonic functions - positivity and convexity

February 14, 2017

Dan Mangoubi

Abstract: We present a sequence of positive quadratic forms associated with harmonic functions on Abelian groups. We show how the positivity property recovers the polynomial Liouville property and we prove a three spheres theorem in terms of random...

video lecture

Emerging Topics Workshop on Nodal sets of Eigenfunctions

February 13, 2017

Agenda: https://www.ias.edu/math/node/30451

video lecture

Mirror symmetry via Berkovich geometry I: overview

February 13, 2017

Tony Yue Yu

Berkovich geometry is an enhancement of classical rigid analytic geometry. Mirror symmetry is a conjectural duality between Calabi-Yau manifolds. I will explain (1) what is mirror symmetry, (2) what are Berkovich spaces, (3) how Berkovich spaces...

video lecture

Nearest neighbor search for general symmetric norms via embeddings into product spaces

February 13, 2017

Ilya Razenshteyn

I will show a new efficient approximate nearest neighbor search (ANN) algorithm over an arbitrary high-dimensional *symmetric* norm. Traditionally, the ANN problem in high dimensions has been studied over the $\ell_1$ and $\ell_2$ distances with a...

video lecture

Post Concert Discussion

February 10, 2017

Gamelan Galak Tika and David Lang

Edward T. Cone Concert Series: February 10, 2017 A concert of new and traditional Balinese music will be performed by Boston’s large percussion orchestra, Gamelan Galak Tika. An ensemble comprised of gongs, metallophones and hand drums, cymbals...

video lecture

Friends Lunch with a Member

February 10, 2017

Reuben Jonathan Miller, Friends of the Institute for Advanced Study Member

video lecture

Discrete harmonic analysis and applications to ergodic theory

February 08, 2017

Mariusz Mirek

Given $d, k\in\mathbb N$, let $P_j$ be an integer-valued polynomial of $k$ variables for every $1\le j \le d$. Suppose that $(X, \mathcal{B}, \mu)$ is a $\sigma$-finite measure space with a family of invertible commuting and measure preserving...

video lecture

Noncommutative algebraic varieties, their properties and geometric realizations II

February 08, 2017

Dmitry Orlov

Continuation of Friday, Feb 3 minicourse. We will discuss a notion of noncommutative and derived algebraic variety. This approach comes from a generalization of derived categories (quasi) coherent sheaves on usual algebraic varieties and their...

video lecture

Optimization in dynamical systems

February 07, 2017

Amir Ali Ahmadi

In recent years, there has been a surge of exciting research activity at the interface of optimization (in particular polynomial, semidefinite, and sum of squares optimization) and the theory of dynamical systems. In this talk, we focus on two...