|Location:||MSRI: Baker Board Room|
Location: Bakerboard Room
Lozenge tilings of planar domains provide a simple, yet sophisticated
model of random surfaces. Asymptotic behavior of such models has been
extensively studied in recent years.
We will start from recent results about q-distributions on tilings of
a hexagon or, equivalently, on boxed plane partitions. (This part is
based on the joint work with A.Borodin and E.Rains).
In the second part of the talk we will explain how representation
theory of the infinite-dimensional unitary group is related to random
lozenge tilings with a certain Gibbs property. We will discuss
applications of this correspondence and results on the classification
of Gibbs measures on tilings of the half-plane.