Workshop IV: Vertex Models: Algebraic and Probabilistic Aspects of Universality - IPAM

Workshop IV: Vertex Models: Algebraic and Probabilistic Aspects of Universality

Part of the Long Program Geometry, Statistical Mechanics, and Integrability
May 20 - 24, 2024

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, May 20, 2024

Morning Session

08:00-08:55
Check-In/Breakfast (Hosted by IPAM)
08:55-09:00
Welcome and Opening Remarks
09:00-09:00
Session Chair: Jan de Gier (University of Melbourne)
09:00-09:50
Alexei Borodin (Massachusetts Institute of Technology)
Geometry of dimer models
10:00-10:15
Break
10:15-11:05
Filippo Colomo (INFN - Sezione di Firenze)
Frozen boundaries and their fluctuations in the square-ice model
11:15-11:30
Break
11:30-12:20
Marianna Russkikh (University of Notre Dame)
Perfect t-embedding of uniformly weighted hexagon.

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:00
Session Chair: Eveliina Peltola (Aalto University)
14:00-14:50
Leonid Petrov (University of Virginia)
Vertex model integrability for stochastic particle systems
15:00-16:30
Poster Session + Cookies and Refreshments (Hosted by IPAM)
16:45-16:55
Break- Walk to Mong Auditorium
17:00-18:00
Hugo Duminil-Copin (The University of Geneva)
Green Family Lecture #1: The mathematics of percolation (at UCLA Mong Auditorium)
18:00-19:00
Reception (Location: IPAM Lobby)

Tuesday, May 21, 2024

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:00
Session Chair: Harini Desiraju (Sydney Mathematical Research Institute, University of Sydney)
09:00-09:50
Philippe Di Francesco (University of Illinois at Urbana-Champaign)
Arctic curves for vertex models
10:00-10:15
Break
10:15-11:05
Alexandr Garbali (University of Melbourne)
Shuffle algebras, lattice paths and Macdonald functions
11:15-11:30
Break
11:30-12:20
Wioletta Ruszel (Utrecht University)
Fermionic Gaussian free field and connections to random lattice models

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:00
Session Chair: Dmitry Chelkak (University of Michigan)
14:00-14:50
Promit Ghosal (University of Chicago)
Tail probabilities of the stochastic six vertex model.
15:00-15:15
Break
15:15-16:05
Vadim Gorin (University of California, Berkeley (UC Berkeley))
Six-vertex model in the rare corners regime
16:15-16:45
Cookies & Refreshments (Hosted by IPAM)
17:00-18:00
Hugo Duminil-Copin (The University of Geneva)
Green Family Lecture #2: Critical phenomena through the lens of the Ising model (at UCLA Mong Auditorium)

Wednesday, May 22, 2024

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:00
Session Chair: Daniel Remenik (Universidad de Chile)
09:00-09:50
Hugo Duminil-Copin (The University of Geneva)
Lecture 2. Rotational invariance of planar random cluster models... and beyond?
10:00-10:15
Break
10:15-11:05
David Keating (University of Wisconsin-Madison)
Stochastic Box-Ball System
11:15-11:30
Break
11:30-12:20
Istvan Prause (Åbo Akademi University)
Limit shapes of non-intersecting Brownian bridges via harmonic envelopes

Afternoon Session

12:30-12:45
Group Photo
12:45-14:30
Lunch (on your own)
14:00-14:00
Session Chair: Wioletta Ruszel (Utrecht University)
14:30-15:20
Jesper Jacobsen (École Normale Supérieure)
Exact three- and four-point correlation functions in the O(n) and Potts loop models
15:30-16:00
Break
16:00-17:00
Discussion Time

Thursday, May 23, 2024

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:00
Session Chair: Philippe Di Francesco (University of Illinois at Urbana-Champaign)
09:00-09:50
Tomohiro Sasamoto (Tokyo Institute of Technology)
Skew RSK dynamics
10:00-10:15
Break
10:15-11:05
Harini Desiraju (Sydney Mathematical Research Institute, University of Sydney )
Elliptic orthogonal polynomials and their integrability.
11:15-11:30
Break
11:30-12:20
Jeffrey Kuan (Texas A&M University - College Station)
Universality of dynamic processes using Drinfel'd twisters

Afternoon Session

12:30-14:30
Lunch (on your own)
14:00-14:00
Session Chair: Alexandr (Sasha) Garbali (University of Melbourne)
14:30-15:20
Rinat Kedem (University of Illinois at Urbana-Champaign)
Closed vs. open Toda chains from Q-systems
15:30-16:00
Break
16:00-16:50
Jacopo Borga (Stanford University)
On the geometry of uniform meandric systems

Friday, May 24, 2024

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:00
Session Chair: Jeffrey Kuan (Texas A&M University - College Station)
09:00-09:50
Daniel Remenik (Universidad de Chile)
Solving PNG
10:00-10:15
Break
10:15-11:05
Ivan Corwin (Columbia University)
Scaling limit of colored ASEP
11:15-11:30
Break
11:30-12:20
Michael Wheeler (University of Melbourne)
A vertex model proof of a correspondence due to Imamura--Mucciconi--Sasamoto

Afternoon Session

12:30-14:30
Lunch (on your own)
14:00-14:00
Session Chair: Rinat Kedem (University of Illinois at Urbana-Champaign)
14:30-15:20
Richard Kenyon (Yale University)
On the higher-rank dimer model
15:30-16:00
Break
16:00-17:00
Discussion Time
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