Document Actions

Gaps in dimer systems and beyond

What Mathematisches Kolloquium
When 2011-06-08
from 16:15 to 17:00
Where C209
Contact Name Rindler, Krattenthaler
Add event to calendar vCal
iCal

Mihai Ciucu (Indiana University, Bloomington)

 

Abstract: The prototypical example of interaction of gaps in dimer coverings was formulated by Fisher and Stephenson in 1963. Suppose we have a huge $2n\times 2n$ chessboard, and we remove a white and a black unit square from around its center. How does the number of domino tilings of the leftover board change, as the two removed unit squares move around the center of the board?

We extend the set-up to dimer coverings on planar lattices, and focus on the interaction of a finite number of gaps in the dimer covering. A number of qualitatively different behaviors arise in this way. These include two-dimensional electrostatics, for bipartite lattices with critical weighting, and a radically different interaction for critical non-bipartite lattice s. Effects of the boundary of lattice graphs will also be considered, as well as connections to some classical problems in enumerative combinatorics involving plane partitions.

Throughout the discussion there is a helpful interplay between combinatorics and physical intuition. The talk is intended for a general audience.

Von 15:45 bis 16:15 Uhr, Kaffeejause im Common Room.

Upcoming Talks
Dr. Alessandro Valentino (MPI Bonn): “Topological Quantum Field Theory via Higher Category Theory” (Simons Lecture Course on Mathematical Physics) ,
“Topological Quantum Field Theory via Higher Category Theory” 2014-10-20 14:15
M. Thaller (Gravitational Physics, UV),
Static solutions to the Einstein-Vlasov system with non-vanishing cosmological constant 2014-10-23 11:00
Mathematical Physics Seminar Alexander Komech (University of Vienna and Russian Academy of Sciences): “Attractors of nonlinear Hamiltonian PDEs” ,
“Attractors of nonlinear Hamiltonian PDEs” 2014-10-23 14:00
Dr. Anthony Blanc (ESI, Univ. Wien):”Topological K-theory of dg-categories (part2/2)”,
Topological K-theory of dg-categories (part2/2) 2014-10-23 16:00
Vienna Seminar in Mathematical Finance and Probability Johanna Penteker (Johannes Kepler Univ., Linz): “p-summing multiplication operators, dyadic Hardy spaces and atomic decomposition” ,
p-summing multiplication operators, dyadic Hardy spaces and atomic decomposition 2014-10-23 16:30
Prof. Dr. Sergiu Hart (The Hebrew University of Jerusalem) Professor of Mathematics and Professor of Economics Founding Director of the Center for the Study of Rationality Former President of the Game Theory Society ,
Two (!) Good To Be True 2014-10-30 16:00
Prof. Dr. Harald Andrés Helfgott (CNRS, U Paris),
The ternary Goldbach conjecture 2014-11-05 15:45
more ...