Workshop II: Integrability and Algebraic Combinatorics - IPAM

Workshop II: Integrability and Algebraic Combinatorics

Part of the Long Program Geometry, Statistical Mechanics, and Integrability
April 15 - 19, 2024

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, April 15, 2024

Morning Session

08:00-08:55
Check-In/Breakfast (Hosted by IPAM)
08:55-09:00
Welcome and Opening Remarks
SESSION CHAIR: Vadim Gorin (University of California, Berkeley (UC Berkeley)
09:00-09:50
Jonathan Novak (University of California, San Diego (UCSD))
Hypergeometric Functions of Matrix Argument and their High-Dimensional Behavior
10:00-10:15
Break
10:15-11:05
Leonid Petrov (University of Virginia)
Random lozenge waterfall: dimensional collapse of Gibbs measures
11:15-11:30
Break
11:30-12:20
Benjamin Young (University of Oregon)
The squish map and the SL_2 double-dimer model

Afternoon Session

12:30-14:30
Lunch (on your own)
SESSION CHAIR: Vadim Gorin (University of California, Berkeley (UC Berkeley)
14:30-15:20
Cesar Cuenca (Ohio State University)
The Symplectic Schur Process
15:30-16:00
Break
16:00-16:50
Jacopo Borga (Stanford University)
Limit shapes for random Young tableaux via determinantal point processes
17:00-17:15
Lightning Poster Session
17:20-18:45
Poster Session & Reception (Hosted by IPAM)

Tuesday, April 16, 2024

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
SESSION CHAIR: Anne Schilling (University of California, Davis (UC Davis)
09:00-09:50
Olya Mandelshtam (University of Waterloo)
A new compact formula for the symmetric Macdonald polynomials via the ASEP and TAZRP
10:00-10:15
Break
10:15-11:05
Arvind Ayyer (Indian Institute of Science)
The inhomogeneous multispecies PushTASEP
11:15-11:30
Break
11:30-12:20
Lauren Williams (Harvard University)
The inhomogeneous multispecies t-PushTASEP and Macdonald polynomials

Afternoon Session

12:30-12:45
Group Photo
12:45-14:30
Lunch (on your own)
SESSION CHAIR: Greta Panova (University of Southern California (USC)
14:30-15:20
Sergei Korotkikh (University of California, Berkeley (UC Berkeley))
Construction of interpolation symmetric functions from q-Hahn integrable models.
15:30-16:00
Break
16:00-16:20
Yu Feng (Department of Mathematical Sciences, Tsinghua University)
Logarithmic singularity in the density four-point function of two-dimensional critical percolation in the bulk
16:25-16:45
Yi-Lin Lee (Indiana University)
Further exploration of off-diagonally symmetric domino tilings of the Aztec diamond
16:50-17:10
Hans Höngesberg (Polish Academy of Sciences)
A combinatorial approach towards Littlewood-type identities related to alternating sign matrices

Wednesday, April 17, 2024

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
SESSION CHAIR: Jan de Gier (University of Melbourne)
09:00-09:50
Anna Weigandt (University of Minnesota, Twin Cities)
Schubert to Grothendieck via Ice
10:00-10:15
Break
10:15-11:05
Paul Zinn-Justin (University of Melbourne)
The MacNeille completion of the type B Bruhat poset
11:15-11:30
Break
11:30-12:20
Hariharan Narayanan (Tata Institute of Fundamental Research)
Sums of GUE matrices and concentration of hives from correlation decay of eigengaps

Afternoon Session

12:30-14:00
Lunch (on your own)
SESSION CHAIR: Greta Panova (University of Southern California (USC)
14:00-14:50
Igor Pak (University of California, Los Angeles (UCLA))
Correlation inequalities for Schur functions and Young tableaux
15:00-15:15
Break
15:15-16:05
Swee Hong Chan (Rutgers University)
Complexity of log-concave poset inequalities.
16:15-16:30
Break
16:30-17:20
Jonathan Leake (University of Waterloo)
Log-concave polynomials, lattice point counting, and the traveling salesperson problem

Thursday, April 18, 2024

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
SESSION CHAIR: Damir Yeliussizov (Kazakh-British Technical University)
09:00-09:50
Jessica Striker (North Dakota State University)
Rotation-invariant web bases from hourglass plabic graphs and symmetrized six-vertex configurations
10:00-10:15
Break
10:15-11:05
Laura Escobar (University of California, Santa Cruz)
Sums of weighted lattice points of polytopes
11:15-11:30
Break
11:30-12:20
Jehanne Dousse (Université de Genève)
The Andrews-Gordon partition identities and commutative algebra

Afternoon Session

12:30-14:30
Lunch (on your own)
SESSION CHAIR: Alejandro Morales (University of Quebec Montréal)
14:30-15:20
Pavel Galashin (University of California, Los Angeles (UCLA))
Move-reduced graphs on a torus vs positroid Catalan numbers
15:30-16:00
Break
16:00-16:20
Joshua Swanson (University of Southern California (USC))
Unifying lattices through hourglass plabic graphs
16:25-16:45
Colin Defant (Harvard University)
Toric Promotion with Reflections and Refractions
16:50-17:10
Sarah Brauner (Brown University)
Spectrum of random-to-random shuffling in the Hecke algebra

Friday, April 19, 2024

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
SESSION CHAIR: Alejandro Morales (University of Quebec Montréal)
09:00-09:50
Harriet Walsh (Université d'Angers)
Random partitions, Hurwitz number and counting high genus surfaces
10:00-10:15
Break
10:15-11:05
Houcine Ben Dali (Université de Lorraine)
Jack characters as generating series of bipartite maps and proof of Lassalle’s conjecture
11:15-11:30
Break
11:30-12:20
Maciej Dolega (Polish Academy of Sciences)
Global asymptotics of Jack-deformed random Young diagrams via Lukasiewicz paths
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