Organizing Committee
Ohio State University
Rutgers University, New Brunswick
Stanford University
University of Michigan
Virginia Polytechnic Institute and State University
Abstract
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Workshop Schedule
Monday, March 22, 2021
10:00 - 10:15 AM EDT
Welcome
10:15 - 10:45 AM EDT
Hey Series, Tell Me About the Extended Delta Conjecture
11:00 - 11:15 AM EDT
Break
11:15 - 11:45 AM EDT
Castelnuovo-Mumford regularity of matrix Schubert varieties
11:45 AM - 2:00 PM EDT
Lunch/Free Time
2:00 - 2:30 PM EDT
Conformal blocks: an overview
2:45 - 3:15 PM EDT
Quantum geometric Satake at a root of unity and Schubert calculus for G(m,m,n)
3:15 - 4:30 PM EDT
Gathertown Reception
Tuesday, March 23, 2021
9:00 - 9:45 AM EDT
Gathertown Morning Coffee
9:45 - 10:15 AM EDT
Geometry of semi-infinite flag manifolds
10:30 - 10:45 AM EDT
Break
10:45 - 11:35 AM EDT
Lightning Talks
Semin Yoo, University of Rochester
Let $\mathbb{F}_q^n$ be the finite field with $q$ elements, where the char$F$ is not $2$. The size of the set of $k$-dimensional subspaces of $\mathbb{F}_q^n$ is called $q$-binomial coefficient, (or Gaussian binomial coefficient.) which has various interesting combinatorial descriptions and related works. Furthermore, the fact that makes $q$-binomial coefficients more interesting is that $q$-binomial coefficients have $q$-analogues. $\mathbf{q}$-\textbf{analogues} of quantities in mathematics involve perturbations of classical quantities using the parameter $q$ and revert to the original quantities when $q$ goes to $1$. In this talk, we add one more structure, called a quadratic form. We are mainly interested in the size of the set of $k$-dimensional subspaces that have orthonormal bases, which can be also written as analogues of binomial coefficients. Various combinatorial properties of this new binomial coefficient will be discussed. We will also show what will happen in the set side if we take the limit when $q$ goes to $1$.
Mixed Hodge structure on local cohomology with support in determinantal varieties
Michael Perlman, Queen's University
Given a closed subvariety Z in a smooth variety, the local cohomology sheaves with support in Z are functorially endowed with structures as mixed Hodge modules. This implies that they are equipped with two increasing filtrations: the Hodge filtration and the weight filtration. We will discuss new calculations of these filtrations in the case when Z is a generic determinantal variety. This talk includes joint work with Claudiu Raicu.
Geometric and Combinatorial aspects of Nonlinear Algebra
Papri Dey, University of Missouri-Columbia
Nonlinear algebra is an interdisciplinary area and I shall talk about some interaction among algebraic, geometric and combinatorial objects in this field.
Clans, sects, and symmetric space closure orders
Aram Bingham, Tulane University of Louisiana
We will give a combinatorial description of the closure order on Borel orbits in symmetric spaces of Hermitian type in terms of parameterizing objects called clans and their projections onto $G/P$ (sects). This description resolves part of a conjecture of Wyser on the restriction of Bruhat orders on these spaces.
A generating function for counting mutually annihilating matrices over a finite field
Yifeng Huang, University of Michigan
We count the number of pairs of n x n matrices (A, B) over a finite field such that AB=BA=0. We then give an explicit factorization of a generating function associated to this count, which in particular shows that the function can be meromorphically extended to the entire complex plane. This essentially says that the motivic formula about (the stack of) finite-length coherent sheaves on a nodal singular curve behaves as the geometry predicts.
Confirmed Speakers & Participants
Talks will be presented virtually or in-person as indicated in the schedule below.
- Ying A Pun
University of Virginia
- Adnan Abdulwahid
University of Iowa
- Dan Abramovich
Brown University
- Ashleigh Adams
UC Davis
- Adam Afandi
Colorado State University
- Tair Akhmejanov
University of California-Davis
- Elie Alhajjar
US Military Academy
- Ayah Almousa
Cornell University
- David Anderson
Ohio State University
- Federico Ardila
San Francisco State University
- Ahmed Umer Ashraf
University of Western Ontario
- Olga Azenhas
University of Coimbra
- Matthew Baker
Georgia Institute of Technology
- Prakash Belkale
University of North Carolina at Chapel Hill
- Marc Besson
University of North Carolina at Chapel Hill
- Christin Bibby
Louisiana State University
- Sara Billey
University of Washington
- Simone Billi
University of Bologna
- Aram Bingham
Tulane University
- Rekha Biswal
Universite Laval
- Tom Braden
University of Massachusetts Amherst
- Madeline Brandt
Brown University
- Michel Brion
Université Grenoble Alpes
- Juliette Bruce
University of California, Berkeley / MSRI
- Anders Buch
Rutgers University
- Amanda Burcroff
Durham University
- Mahir Bilen Can
Tulane University
- Eduardo Cattani
University of Massachusetts Amherst
- Melody Chan
Brown University
- Anastasia Chavez
University of California, Davis
- Linda Chen
Swarthmore College
- Sunita Chepuri
University of Michigan
- María Angélica Cueto
Ohio State University
- Maize Curiel
University of Hawaii at Manoa
- Xinle Dai
Harvard University
- Chiara Damiolini
Rutgers University
- Quang Dao
University of Michigan
- Colin Defant
Princeton University
- Papri Dey
University of Missouri
- Alexander Diaz-Lopez
Villanova Universiry
- Galen Dorpalen-Barry
University of Minnesota
- Theo Douvropoulos
University of Massachusetts, Amherst
- Anne Dranowski
Institute for Advanced Study
- Nicholas Early
Institute for Advanced Study
- Richard Ehrenborg
University of Kentucky
- Balazs Elek
Cornell University
- Ben Elias
University of Oregon
- Laura Escobar
Washington University- St. Louis
- Christopher Eur
Stanford University
- Matthew Faust
Texas A&M University
- Sergey Fomin
University of Michigan
- Chris Fraser
University of Minnesota
- Netanel Friedenberg
Yale University
- William Fulton
University of Michigan
- Nir Gadish
MIT
- Christian Gaetz
MIT
- Pavel Galashin
University of California, Los Angeles
- Shiliang Gao
University of Illinois at Urbana-Champaign
- Yibo Gao
Massachusetts Institute of Technology
- Deniz Genlik
The Ohio State University
- Angela Gibney
Rutgers University, New Brunswick
- Andrey Glubokov
Ave Maria University
- Vassily Gorbounov
Higher School of Economics, Russia
- Eugene Gorsky
UC Davis
- Sean Griffin
Brown University
- Samuel Grushevsky
Stony Brook University
- Aziz Burak Guelen
The Ohio State University
- Emily Gunawan
University of Oklahoma
- Christian Haase
Freie Universität Berlin
- Iva Halacheva
Northeastern University
- Kangjin Han
Daegu-Gyeongbuk Institute of Sciences and Technology (DGIST)
- Megumi Harada
MCMASTER UNIVERSITY
- Pamela E. Harris
Williams College
- Milena Hering
The University of Edinburgh
- Serkan Hosten
San Francisco State University
- Daoji Huang
Brown University
- Yifeng Huang
University of Michigan
- June Huh
Stanford University
- Brian Hwang
Cornell University
- Anthony Iarrobino
Northeastern University
- Bogdan Ion
University of Pittsburgh
- David Jensen
University of Kentucky
- Minyoung Jeon
The Ohio State University
- Sam Jeralds
University of North Carolina at Chapel Hill
- Shuai Jiang
Virginia Tech
- Michael Joswig
TU Berlin & MPI Leipzig
- Nidhi Kaihnsa
Brown University
- Siddarth Kannan
Brown University
- Lars Kastner
Institute of Mathematics of the Technical University
- Syu Kato
Kyoto University
- Hannah Keese
Cornell University
- Gary Kennedy
Ohio State University
- Joshua Kiers
Ohio State University
- Young Rock Kim
Hankuk University of Foreign Studies
- Patricia Klein
University of Minnesota
- Allen Knutson
Cornell University
- Aleksandr Kolpakov
University of Neuchâtel
- Jakub Koncki
Institute of Mathematics, Polish Academy of Sciences
- Korkeat Korkeathikhun
University of North Carolina at Chapel Hill
- Lukas Kühne
Max Planck Institute for Mathematics in the Sciences
- Thomas Lam
University of Michigan
- Matthew Larson
Stanford University
- Cristian Lenart
University at Albany
- Shiyue Li
Brown University
- Kuei-Nuan Lin
Penn State University, Greater Allegheny
- David Lowry-Duda
ICERM & Brown University
- Antonio Macchia
Freie Universität Berlin
- Madhusudan Manjunath
INDIAN INSTITUTE OF TECHNOLOGY BOMBAY
- Hannah Markwig
Eberhard Karls University of Tübingen
- Mikhail Mazin
Kansas State University
- Alex McDonough
Brown University
- Mike Michailidis
The MathWorks Inc.
- Leonardo Mihalcea
Virginia Polytechnic Institute and State University
- Elizabeth Milićević
Haverford College
- Fatemeh Mohammadi
Ghent University
- Sophie Morel
CNRS/ENS Lyon
- Jennifer Morse
University of Virginia
- Chenqi Mou
Beihang University, China
- Robert Muth
Washington & Jefferson College
- Philippe Nadeau
Institut Camille Jordan
- Hiroshi Naruse
University of Yamanashi
- Gleb Nenashev
Brown University
- David Oetjen
Virginia Tech
- Daniel Orr
Virginia Tech
- Jianping Pan
University of California, Davis
- Brendan Pawlowski
University of Southern California
- Sam Payne
University of Texas at Austin
- Oliver Pechenik
University of Waterloo
- Michael Perlman
Queen's University
- Nicolas Perrin
Versailles Saint-Quentin-en-Yvelines University
- Nathan Pflueger
Amherst College
- Martha Precup
Washington University in St. Louis
- Jenna Rajchgot
McMaster University
- Margaret Readdy
University of Kentucky
- Konstanze Rietsch
King's College London
- Richard Rimanyi
University of North Carolina at Chapel Hill
- Colleen Robichaux
University of Illinois at Urbana-Champaign
- Oliver Ruff
Kent State University
- Francisco Santos
University of Cantabria
- Mahrud Sayrafi
University of Minnesota
- Hal Schenck
Auburn University
- Anne Schilling
UC Davis
- George Seelinger
University of Virginia
- Oswaldo Sevilla
Centro de Investigación en Matemáticas, Guanajuato Mexico
- Melissa Sherman-Bennett
UC Berkeley/Harvard
- Mark Shimozono
Virginia Tech
- Farbod Shokrieh
University of Washington
- Jose Simental Rodriguez
Max-Planck Institute for Mathematics
- Connor Simpson
University of Wisconsin -- Madison
- Eric Sommers
University of Massachusetts
- Miruna-Stefana Sorea
SISSA, Trieste
- Frank Sottile
Texas A&M University
- Avery St. Dizier
Univeristy of Illinois at Urbana-Champaign
- Jessica Striker
North Dakota State University
- Bernd Sturmfels
MPI Leipzig
- Changjian Su
University of Toronto
- Yuri Sulyma
Brown University
- Mariel Supina
University of California, Berkeley
- Joshua Swanson
University of California, San Diego
- Daniel Tamayo Jiménez
Université Paris-Saclay
- Anna Tao
Brown University
- Nicola Tarasca
Virginia Commonwealth University
- Mojdeh Tarighat
University of Virginia
- Ayush Tewari
TU Berlin
- Vasu Tewari
University of Hawaii
- Martin Ulirsch
Goethe University Frankfurt
- Jeremy Usatine
Brown University
- Ravi Vakil
Stanford University
- Lorenzo Vecchi
Alma Mater Studiorum - Università di Bologna
- Emanuele Ventura
University of Bern
- Diego Villamizar
Tulane University
- Duc Vo
Harvard University
- Weikun Wang
Southern University of Science and Technology
- Andrzej Weber
Uniwersity of Warsaw
- Anna Weigandt
University of Michigan
- Ian Whitehead
Swarthmore College
- Harold Williams
University of Southern California
- Lauren Williams
Harvard University
- Corey Wolfe
Tulane University
- Tian An Wong
University of Michigan-Dearborn
- Cameron Wright
University of Washington
- Weihong Xu
Rutgers
- Damir Yeliussizov
Kazakh-British Technical University
- Alexander Yong
University of Illinois at Urbana-Champaign
- Semin Yoo
University of Rochester
- Chi Ho Yuen
Brown University
- Claudia Yun
Brown University
- Changlong Zhong
State University of New York Albany
- Paul Zinn-Justin
The University of Melbourne