This series of three talks will give a nontechnical, high level overview of geometric complexity theory (GCT), which is an approach to the P vs. NP problem via algebraic geometry, representation theory, and the theory of a new class of quantum groups, called nonstandard quantum groups, that arise in this approach. In particular, GCT suggests that the P vs. NP problem in characteristic zero is intimately linked to the Riemann Hypothesis over finite fields. No background in algebraic geometry, representation theory or quantum groups would be
From the time of its original display through the present day, the subject of Hieronymus Bosch's so-called "Garden of Delights" has eluded audiences. In a lecture devoted to what is arguably the most enigmatic work in the history of art, Joseph Leo Koerner, Victor S. Thomas Professor of Art and Architecture at Harvard University, examines why Bosch's subject was made deliberately unspeakable. The lecture is part of the Art as Knowledge series, which features talks by leading art historians on the subject of how art develops and conveys knowledge. The respondent for the lecture was Christopher Heuer, Assistant Professor of Art and Archaeology at Princeton University and one of the organizers of the Art as Knowledge series.
In math, one often studies random aspects of deterministic systems and structures. In CS, one often tries to efficiently create structures and systems with specific random-like properties. Recent work has shown many connections between these two approaches through the concept of "pseudorandomness".
Lectures by Bourgain, Impagliazzo, Sarnak and Wigderson (schedule below), will explore some of the facets of pseudorandomness, with particular emphasis on research directions and open problems that connect the different viewpoints of this concept in math and CS.