Loading...
Organizing Committee
University of York
UC Berkeley
University of Connecticut
Universidad de Chile
Dartmouth College
University of Southern California
University of California, Davis
University of Cambridge
Worcester Polytechnic Institute
Harvard University
Abstract
Algebraic combinatorics can be thought of as “counting things” and representation theory can be thought of as the “study of symmetry.” The notions of counting and symmetry are all-pervasive in the natural sciences. Thus, the pure mathematical questions we consider often have ramifications across fields including physics, quantum theory, chemistry, cryptography.
The past decade has been one of the most exciting and fruitful times in the history of combinatorics and representation theory. One of the overarching themes in this story is the search for richer structures which secretly underpin the classical problems in the field — these might manifest themselves as algebraic or geometric structures, or even as diagrammatic categories.
The discovery of these richer structures has led to the recent rise and fall of some of the most famous conjectures in the history of combinatorics and representation theory: the Macdonald constant term conjectures, the shuffle conjecture, the Lusztig conjecture, the Kazhdan–Lusztig positivity conjecture. Further afield, Crane conjectured that categorification should provide the correct setting for a theory of quantum gravity.
This Semester Program is driven by the need to interweave machine learning, graphical computer software, and computability perspectives and techniques into the study of these diagrammatic, algebraic, and geometric structures.
The past decade has been one of the most exciting and fruitful times in the history of combinatorics and representation theory. One of the overarching themes in this story is the search for richer structures which secretly underpin the classical problems in the field — these might manifest themselves as algebraic or geometric structures, or even as diagrammatic categories.
The discovery of these richer structures has led to the recent rise and fall of some of the most famous conjectures in the history of combinatorics and representation theory: the Macdonald constant term conjectures, the shuffle conjecture, the Lusztig conjecture, the Kazhdan–Lusztig positivity conjecture. Further afield, Crane conjectured that categorification should provide the correct setting for a theory of quantum gravity.
This Semester Program is driven by the need to interweave machine learning, graphical computer software, and computability perspectives and techniques into the study of these diagrammatic, algebraic, and geometric structures.
Loading...
Loading participant list in background...
Semester Schedule
Wednesday, September 03, 2025
Categorification and Computation in Algebraic Combinatorics
9:00 AM - 4:00 PM
Check In / Registration
Check In - 11th Floor Collaborative Space
3:00 - 3:30 PM
Coffee Break
11th Floor Collaborative Space
Thursday, September 04, 2025
Categorification and Computation in Algebraic Combinatorics
9:30 - 10:00 AM
ICERM Director and Organizer Welcome
Welcome - 11th Floor Lecture Hall
Chris Bowman, University of York
Nicolle Gonzalez, UC Berkeley
Brendan Hassett, ICERM/Brown University
Kyu-Hwan Lee, University of Connecticut
Nicolas Libedinsky, Universidad de Chile
Rosa Orellana, Dartmouth College
Greta Panova, University of Southern California
Anne Schilling, University of California, Davis
11:00 AM - 12:00 PM
Director / Organizer Meeting
Meeting - 11th Floor Conference Room
12:00 - 1:00 PM
Postdoc / Graduate Student Meeting with ICERM Director
Meeting - 11th Floor Lecture Hall
3:00 - 3:30 PM
Coffee Break
11th Floor Collaborative Space
4:00 - 5:30 PM
Welcome Reception
Reception - 11th Floor Collaborative Space
Friday, September 05, 2025
Categorification and Computation in Algebraic Combinatorics
10:00 - 10:10 AM
Álvaro Gutiérrez Introduction
Other - 11th Floor Lecture Hall
Álvaro Gutiérrez, University of Bristol
10:10 - 10:20 AM
John Lentfer Introduction
Other - 11th Floor Lecture Hall
John Lentfer, University of California, Berkeley
10:20 - 10:30 AM
Samuel Armon Introduction
Other - 11th Floor Lecture Hall
Samuel Armon, University of Southern California
10:30 - 10:40 AM
Aram Bingham Introduction
Other - 11th Floor Lecture Hall
Aram Bingham, Universidad de Chile
10:40 - 10:50 AM
Sarah Brauner Introduction
Other - 11th Floor Lecture Hall
Sarah Brauner, Brown University
10:50 - 11:00 AM
Patricia Commins
Other - 11th Floor Lecture Hall
Patricia Commins, University of Minnesota
11:00 - 11:10 AM
Alice Dell'Arciprete Introduction
Other - 11th Floor Lecture Hall
Alice Dell’Arciprete, University of York
11:10 - 11:20 AM
Matthieu Dolbeault Introduction
Other - 11th Floor Lecture Hall
Matthieu Dolbeault, RWTH Aachen
11:20 - 11:30 AM
Jonathan Gruber Introduction
Other - 11th Floor Lecture Hall
Jonathan Gruber, FAU Erlangen-Nürnberg
11:30 - 11:40 AM
George Seelinger Introduction
Other - 11th Floor Lecture Hall
George Seelinger, University of Michigan
11:40 - 11:50 AM
Joseph Pappe Introduction
Other - 11th Floor Lecture Hall
Joseph Pappe, Colorado State University
2:00 - 2:10 PM
Scott Neville Introduction
Other - 11th Floor Lecture Hall
Scott Neville, ICERM
2:10 - 2:20 PM
Pablo Ocal Introduction
Other - 11th Floor Lecture Hall
Pablo Ocal, Okinawa Institute of Science and Technology
2:20 - 2:30 PM
Jianping Pan Introduction
Other - 11th Floor Lecture Hall
Jianping Pan, Arizona State University
2:30 - 2:40 PM
Chenchen Zhao Introduction
Other - 11th Floor Lecture Hall
Chenchen Zhao, University of California, Davis
2:40 - 2:50 PM
Alexis Langlois-Rémillard Introduction
Other - 11th Floor Lecture Hall
Alexis Langlois-Rémillard, University of Bonn
2:50 - 3:00 PM
Sylvester Zhang Introduction
Other - 11th Floor Lecture Hall
Sylvester Zhang, UCLA
3:00 - 3:30 PM
Math Speed-Dating
Coffee Break - 11th Floor Collaborative Space
