Submitted by Anonymous on June 12, 2013 - 9:11am

We show explicitly how the exact renormalization group

equation of interacting vector models in the large N limit can be

mapped into certain higher-spin equations of motion. The equations of

motion are generalized to incorporate a multiparticle extension of the

higher-spin algebra, which reflects the "multitrace" nature of the

interactions in the dual field theory from the holographic point of view.

Submitted by Anonymous on June 12, 2013 - 9:11am

I will describe recent results obtained for N=4 superconformal field

theories in four dimensions by means of the conformal bootstrap.

This talk will be related to the content of arXiv:1304.1803, as well as

some additional work in progress.

Submitted by Anonymous on May 31, 2013 - 9:02am

The last few years have seen a spate of operational or information-theoretic

Submitted by Anonymous on May 16, 2013 - 8:58am

One of the main challenges that we face both as individual persons and as a species concerns the distribution and use of resources, such as water, time, capital, computing power or negatively valued

resources like nuclear waste. Also within theoretical physics, one

frequently deals with resources like free energy or quantum entanglement. I will describe a mathematical theory of resources which makes quantitative predictions about how many resources are required for

producing a certain commodity and outline some applications to information theory.

Submitted by Anonymous on May 15, 2013 - 12:23pm

From prehistoric times onward, people have always found ways to incorporate mathematical thinking into art. Today, we have sophisticated mathematical machinery that we can use both to understand the rules that underlie historical patterns and to describe new designs of great beauty and originality. Better yet, computers can serve as a powerful artistic tool, helping make these mathematical visions a reality. This talk will explore some of the exciting contemporary work that lies in the intersection of mathematics and art.

Submitted by Anonymous on May 15, 2013 - 11:33am

We discuss how bipartite graphs on Riemann surfaces encapture a wealth of information about the physics of large classes of supersymmetric gauge theories, especially those with quiver structure and arising from the AdS/CFT context. The correspondence between the gauge theory, the underlying algebraic geometry of it space of vacua, the combinatorics of dimers and toric varieties, as well as the number theory of dessin d'enfants becomes particular intricate under this light.

Submitted by Anonymous on May 8, 2013 - 11:00am

In two spatial dimensions, there is a good correspondence between TQFTs and topological phases of matter for spin systems. I will discuss this correspondence in one and three spatial dimensions for spin systems. If time permits, I will also discuss the situation for fermion systems.

Submitted by Anonymous on May 3, 2013 - 8:39am

Based on her book, The Calculus Diaries, join, Jennifer Ouellette as she shows how calculus can be applied to everything from gas mileage, diet, the rides at Disneyland, surfing in Hawaii, shooting craps in Vegas and warding off zombies. Even the mathematically challenged, can-and-should learn the fundamentals of the universal language.

Submitted by Anonymous on May 1, 2013 - 8:57am

It has been known for twenty years that a class of

two-dimensional gauge theories are intimately connected to toric geometry, as

well as to hypersurfaces or complete intersections in a toric varieties, and to

generalizations thereof. Under renormalization

group flow, the two-dimensional gauge theory flows to a conformal field theory

that describes string propagation on the associated geometry. This provides a connection between certain

quantities in the gauge theory and topological invariants of the associated

Submitted by Anonymous on April 17, 2013 - 5:00pm

Mathematical aspects of modern theories of elementary particles and gravitation. Replacing the notion of particles with fundamental abstract fields (magnetic monopoles, vortices and Skyrmions) in an attempt to approach a formulation for quantum gravity.