Video Lectures

On the role of rank in representation theory of the classical groups

March 08, 2017

Roger Howe

Rank gives a natural filtration on representations of classical groups. The eta correspondence provides a clean description of a natural family of representations of a given rank, subject to certain bounds. There is evidence that this construction...

video lecture

Some basic problems and results from Invariant Theory

March 07, 2017

Avi Wigderson

Invariant theory deals with properties of symmetries - actions of groups on sets of objects.

It has been slower to join its sibling mathematical theories in the computer science party, but we now see it more and more in studies of computational...

video lecture

Information complexity and applications

March 06, 2017

Mark Braverman

Over the past two decades, information theory has reemerged within computational complexity theory as a mathematical tool for obtaining unconditional lower bounds in a number of models, including streaming algorithms, data structures, and...

video lecture

Interactive coding with nearly optimal round and communication blowup

March 06, 2017

Yael Kalai

The problem of constructing error-resilient interactive protocols was introduced in the seminal works of Schulman (FOCS 1992, STOC 1993). These works show how to convert any two-party interactive protocol into one that is resilient to constant...

video lecture

Mathematics and Music: Vibrating Strings and Overtones

March 03, 2017

Ian Jauslin

https://www.ias.edu/events/friends-lunch-jauslin

video lecture

Edward T. Cone Concert: So Percussion

March 03, 2017

So Percussion with David Lang

The season will conclude with a performance by So Percussion, the Edward T. Cone Ensemble-in-Residence at Princeton University. The concerts will feature a program by composer Steve Reich, in honor of his eightieth birthday. A concert talk with...

video lecture

Canonical coordinates for Calabi Yau manifolds II

March 03, 2017

Sean Keel

In the two talks, aimed at a broad mathematical audience, I'll explain my conjecture, joint with Gross, Hacking, and Siebert, which says, informally, that if you live on a Calabi Yau, your world comes with an intrinsic global positioning system...

video lecture

Book Talk: The Invention of Humanity

March 01, 2017

Nicola di Cosmo, Jonathan Israel, Michael Walzer, and Siep Stuurman

During most of history, inequality was the habitual and reasonable standard, while equality stood in need of justification, if it was considered at all. Inequality was omnipresent, palpable and realistic, while equality had to be imagined, argued...

video lecture

World Disorder Lecture Series: Latin America: Walls or Bridges?

March 01, 2017

Jeffrey Davidow

Latin America’s move in recent decades to greater levels of democracy and economic development are undermined by weak institutions, corruption and the lure of populism. While it is a zone of peace with no international hostilities or significant...

video lecture

Hyperuniformity in many-particle systems and its generalizations

March 01, 2017

Salvatore Torquato

Hyperuniform many-particle systems have density fluctuations that are anomalously suppressed at long wavelengths compared to the fluctuations in typical disordered point configurations, such as ideal gases, liquids and glasses. All perfect crystals...