Workshop I: Statistical Mechanics and Discrete Geometry

Part of the Long Program Geometry, Statistical Mechanics, and Integrability
March 25 - 29, 2024

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, March 25, 2024

Morning Session
8:00 - 8:55 Breakfast (hosted by IPAM)
8:55 - 9:00 Welcome and Opening Remarks
9:00 Moderator: Marianna Russkikh
9:00 - 9:50
Richard Kenyon (Yale University)

The multinomial dimer model
PDF Presentation

 
10:00 - 10:15 Break
10:15 - 11:05
Tomas Berggren (Massachusetts Institute of Technology)

Geometry of the doubly periodic Aztec dimer model
PDF Presentation

 
11:15 - 11:30 Break
11:30 - 12:20
Zhongyang Li (University of Connecticut)

Planar Site Percolation via Tree Embeddings

 
12:30 - 2:30 Lunch (on your own)

Afternoon Session
2:30 Moderator: Sanjay Ramassamy
2:30 - 3:20
Mirjana Vuletić (University of Massachusetts Boston)

Bulk scaling limits in free boundary Schur process

 
3:30 - 4:00 Lightning Poster Round
4:00 - 5:45 Poster Session & Reception (Hosted by IPAM)

Tuesday, March 26, 2024

Morning Session
8:00 - 9:00 Breakfast (hosted by IPAM)
9:00 Moderator: Fredrik Viklund
9:00 - 9:50
Pavel Galashin (University of California, Los Angeles (UCLA))

Geometric objects associated to planar bipartite graphs
PDF Presentation

 
10:00 - 10:15 Break
10:15 - 11:05
Pavlo Pylyavskyy (University of Minnesota, Twin Cities)

Superport networks

 
11:15 - 11:30 Break
11:30 - 12:20
Nathanael Berestycki (University of Vienna)

Random matrix statistics in the uniform spanning tree

12:30 - 2:30 Lunch (on your own)

Afternoon Session
2:30 Moderator: Michael Gekhtman
2:30 - 3:20
Sergey Fomin (University of Michigan)

Incidences and tilings
PDF Presentation

 
3:30 - 4:00 Break
4:00 - 4:50
Anton Izosimov (University of Arizona)

Incidences and dimers

 

Wednesday, March 27, 2024

Morning Session
8:00 - 9:00 Breakfast (hosted by IPAM)
9:00 Moderator: Richard Kenyon
9:00 - 9:50
Abhijit Champanerkar (College of Staten Island, CUNY)

Geometric bounds for spanning tree entropy of planar lattices
PDF Presentation

 
10:00 - 10:15 Break
10:15 - 11:05
Jessica Purcell (Monash University)

Constructing knots with specified geometric limits

 
11:15 - 11:30 Break
11:30 - 12:20
Harold Williams (University of Southern California (USC))

Bipartite graphs and mirror coamoebae
PDF Presentation

 
12:30 - 12:45 Group Photo
12:45 - 2:30 Lunch (on your own)

Afternoon Session
2:30 Moderator: Hao Wu
2:30 - 3:20
Marcin Lis (Technische Universität Wien)

On Pfaffians in spin models

 
3:30 - 4:00 Break

Thursday, March 28, 2024

Morning Session
8:00 - 9:00 Breakfast (hosted by IPAM)
9:00 Moderator: Anton Izosimov
9:00 - 9:50
Alexander Bobenko (Technische Universität Berlin)

Dimers and M-curves: Limit shapes from Riemann surfaces.
PDF Presentation

 
10:00 - 10:15 Break
10:15 - 11:05
Cédric Boutillier (Sorbonne Université)

Minimal bipartite dimers and maximal Riemann surfaces
PDF Presentation

 
11:15 - 11:30 Break
11:30 - 12:20
Terrence George (University of California, Los Angeles (UCLA))

Spectrum of the Ising model

 
12:30 - 2:30 Lunch (on your own)

Afternoon Session
2:30 Moderator: Nathanael Berestycki
2:30 - 3:20
 
3:30 - 4:00 Break
4:00 - 4:50
Mikhail Basok (University of Helsinki)

Dimers on a Riemann surface and compactified free field
PDF Presentation

 

Friday, March 29, 2024

Morning Session
8:00 - 9:00 Breakfast (hosted by IPAM)
9:00 Moderator: Leonid Petrov
9:00 - 9:50
Stanislav Smirnov (Université de Genève)

Coulomb gas and lattice models

10:00 - 10:15 Break
10:15 - 11:05
Matthew Nicoletti (Massachussetts Institute of Technology)

Perfect t-embeddings of uniform Aztec diamond graphs

 
11:15 - 11:30 Break
11:30 - 12:20
Niklas Affolter (Technische Universität Berlin)

S-embeddings and discrete maximal Lorentz surfaces