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
8:00 - 8:55 Breakfast (hosted by IPAM)
8:55 - 9:00 Welcome and Opening Remarks

SESSION CHAIR: Vadim Gorin (University of California, Berkeley (UC Berkeley)
9:00 - 9:50
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
11:15 - 11:30 Break
11:30 - 12:20
Benjamin Young (University of Oregon)

The squish map and the SL_2 double-dimer model

 
12:30 - 2:30 Lunch (on your own)

Afternoon Session

SESSION CHAIR: Vadim Gorin (University of California, Berkeley (UC Berkeley)
2:30 - 3:20
Cesar Cuenca (Ohio State University)

The Symplectic Schur Process

 
3:30 - 4:00 Break
4:00 - 4:50
5:00 - 5:15 Lightning Poster Session
5:20 - 6:45 Poster Session & Reception (Hosted by IPAM)

Tuesday, April 16, 2024

Morning Session
8:00 - 9:00 Breakfast (hosted by IPAM)

SESSION CHAIR: Anne Schilling (University of California, Davis (UC Davis)
9:00 - 9:50
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
12:30 - 12:45 Group Photo
12:45 - 2:30 Lunch (on your own)

Afternoon Session

SESSION CHAIR: Greta Panova (University of Southern California (USC)
2:30 - 3:20
Sergei Korotkikh (University of California, Berkeley (UC Berkeley))

"Construction of interpolation symmetric functions from q-Hahn integrable models."

 
3:30 - 4:00 Break
4:00 - 4:20
4:25 - 4:45
4:50 - 5:10

Wednesday, April 17, 2024

Morning Session
8:00 - 9:00 Breakfast (hosted by IPAM)

SESSION CHAIR: Jan de Gier (University of Melbourne)
9:00 - 9:50
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

 
12:30 - 2:00 Lunch (on your own)

Afternoon Session

SESSION CHAIR: Greta Panova (University of Southern California (USC)
2:00 - 2:50
Igor Pak (University of California, Los Angeles (UCLA))

Correlation inequalities for Schur functions and Young tableaux

 
3:00 - 3:15 Break
3:15 - 4:05
Swee Hong Chan (Rutgers University)

Complexity of log-concave poset inequalities.

 
4:15 - 4:30 Break
4:30 - 5:20

Thursday, April 18, 2024

Morning Session
8:00 - 9:00 Breakfast (hosted by IPAM)

SESSION CHAIR: Damir Yeliussizov (Kazakh-British Technical University)
9:00 - 9:50
10:00 - 10:15 Break
10:15 - 11:05
Laura Escobar (Washington University in St. Louis)

Sums of weighted lattice points of polytopes

 
11:15 - 11:30 Break
11:30 - 12:20
12:30 - 2:30 Lunch (on your own)

Afternoon Session

SESSION CHAIR: Alejandro Morales (University of Quebec Montréal)
2:30 - 3:20
Pavel Galashin (University of California, Los Angeles (UCLA))

Move-reduced graphs on a torus vs positroid Catalan numbers

 
3:30 - 4:00 Break
4:00 - 4:20
Joshua Swanson (University of Southern California (USC))

Unifying lattices through hourglass plabic graphs

 
4:25 - 4:45
 
4:50 - 5:10
Sarah Brauner (University of Quebec Montréal)

Spectrum of random-to-random shuffling in the Hecke algebra


Friday, April 19, 2024

Morning Session
8:00 - 9:00 Breakfast (hosted by IPAM)

SESSION CHAIR: Alejandro Morales (University of Quebec Montréal)
9:00 - 9:50
10:00 - 10:15 Break
10:15 - 11:05
11:15 - 11:30 Break
11:30 - 12:20