Abstract:
It is widely believed that the celebrated 2D Ising model at
criticality has a universal and conformally invariant scaling limit,
which is used in deriving many of its properties. However, no
mathematical proof has ever been given, and even physics arguments
support (a priori weaker) Mobius invariance. We introduce discrete
holomorphic fermions for the 2D Ising model at criticality on a large
family of planar graphs. We show that on bounded domains with
appropriate boundary conditions, those have universal and conformally
invariant scaling limits, thus proving the universality and conformal
invariance conjectures.
The lectures are based on joint works of S.Smirnov and the speaker
(http://arxiv.org/abs/0810.2188, http://arxiv.org/abs/0910.2045)
No special background or prerequisites will be assumed.
To suggest a talk (yours, or someone elses), contact
Jon. Aaronson: aaro at post dot tau dot ac dot il
The mailing list is now in
|
| Subscribe to Horowitz seminar mailing list |
| Visit this group |