# This Week at Physics

## This Week at Physics |
||

<< Spring 2012 | Fall 2012 | Spring 2013 >> |

Subscribe your calendar or receive email announcements of events |

### Events on Tuesday, September 11th, 2012

**Chaos & Complex Systems Seminar****Computational complexity theory -- The world of P and NP****Time:**12:05 pm**Place:**4274 Chamberlin (refreshments will be served)**Speaker:**Jin-Yi Cai, UW Department of Computer Science**Abstract:**Computational Complexity Theory is the study of intrinsic difficulties of computational problems. The most prominent open problem is the conjecture that P is not equal to NP. In essense this conjecture states that it is intrinsically harder to find proofs than to verify them. It has a fundamental importance in many areas from computer science to mathematics, to our basic understanding of nature.<br>

<br>

Valiant's new theory of holographic algorithms is one of the most beautiful ideas in algorithm design in recent memory. It gives a new look on the P versus NP problem. In this theory, information is represented by a superposition of linear vectors in a holographic mix. This mixture creates the possibility for exponential sized cancellations of fragments of local computations. The underlying computation is done by invoking the Fisher-Kasteleyn-Temperley method for counting perfect matchings for planar graphs (Dimer Problem). Holographic algorithms challenge our conception of what polynomial time computation can do, in view of the P vs. NP question.<br>

<br>

In this talk we will survey the developments in holographic algorithms. No specialized background is assumed.**Host:**Sprott- Add this event to your calendar