Skew plane partitions with non-homogeneous weights

Thursday, October 17, 2013 - 12:00 to 13:00
427 Thackeray Hall
Speaker Information
Sevak Mkrtchyan
Carnegie Mellon University

Abstract or Additional Information

The dimer model is the study of random perfect matchings on graphs, and has a long history in statistical mechanics. On the hexagonal lattice it is equivalent to tilings of the plane by lozenges and to skew plane partitions - 3 dimensional analogues of Young diagrams with a partition removed from the corner. Okounkov and Reshetikhin expressed certain natural measures on skew plane partitions as a specialization of a wide family of measures on sequences of interlacing partitions called the Schur Process. We will discuss the Schur Process and apply the formulas Okounkov and Reshetikhin obtained for the correlation kernels of the underlying point processes to study scaling limits of skew plane partitions with non-homogeneous weights.

Research Area