Workshop on Polyhedral Products

July 29 - August 2, 2024, The Fields Institute

Location: Fields Institute, Room 230

Description

Scientific Goals

The purpose of the workshop is to accelerate the development of the subject of polyhedral products and to extend its applications to other areas, in particular to group theory, geometry, combinatorics, and topological data analysis.

List of Speakers

Steven Amelotte, Western University
Martin Bendersky, Hunter College of CUNY
Christin Bibby, Louisiana State University
Li Cai, Xi'an Jiaotong-Liverpool University
Sergio Chaves, University of Rochester
Xin Fu, Beijing Institute of Mathematical Sciences and Applications
William Hornslien, Norwegian University of Science and Technology
Daisuke Kishimoto, Kyushu University
Ben Knudsen, Northeastern University
Ian Leary, University of Southampton
Ivan Limonchenko, Mathematical Institute of the Serbian Academy of Sciences and Arts
Christopher Manon, University of Kentucky
Taras Panov, Moscow State University
Kris Shaw, University of Oslo
Tse Leung So, Western University
Don Stanley, University of Regina
Lewis Stanton, University of Southampton
Alex Suciu, Northeastern University

Participation Instruction:

You can watch all the recordings here: https://www.youtube.com/playlist?list=PLArBKNfJxuulwSz2dN8wj_NHHBLlaDZNM

Schedule

Monday, July 29th, 2024
10:00 to 10:15	Introductory Remarks
10:15 to 11:00	Some Remarks on the Cohomology of the Vietoris-Rips Complex of a Hypercube Graph Martin Bendersky, Hunter College of CUNY
11:00 to 11:30	Coffee Break
11:30 to 12:15	Supersolvable posets and fiber-type arrangements Christin Bibby, Louisiana State University
12:15 to 15:00	Lunch (On Your Own)
15:00 to 15:45	Polyhedral products, graph products and $p$-central series Taras Panov, Moscow State University
15:45 to 16:15	Coffee Break
16:15 to 17:00	A generalization of polyhedral products Tse Leung So, Western University

Tuesday, July 30th, 2024
09:30 to 10:15	Homotopy types of moment-angle complexes associated to almost linear resolutions Steven Amelotte, Western University
10:15 to 10:45	Coffee Break
10:45 to 11:30	Patchworking in higher codimension and oriented matroids Kris Shaw, University of Oslo
11:45 to 12:30	Golod and tight manifold triangulation Daisuke Kishimoto, Kyushu University
12:30 to 14:50	Lunch (On Your Own)
14:50 to 15:00	Group Photos
15:00 to 15:45	Open Problems
15:45 to 16:15	Coffee Break
16:15 to 17:00	Some remarks concerning subgroups of right-angled Artin and Coxeter groups Ian Leary, University of Southampton
18:00 to 20:00	Reception (Prenup Pub, 191 College St, Toronto, ON M5T 1P9)

Wednesday, July 31st, 2024
09:30 to 10:15	Steenrod's Problem for Face Rings Don Stanley, University of Regina
10:15 to 10:45	Coffee Break
10:45 to 11:30	Polyhedral products in motivic homotopy theory William Hornslien, Norwegian University of Science and Technology

Thursday, August 1st, 2024
09:30 to 10:15	On the moment-angle manifolds over Bier spheres Ivan Limonchenko, Mathematical Institute of the Serbian Academy of Sciences and Arts Location:Online
10:15 to 10:45	Coffee Break
10:45 to 11:30	Toric matroid bundles Christopher Manon, University of Kentucky
11:45 to 12:30	The resonance schemes of simplicial complexes Alexandru Suciu, Northeastern University
12:30 to 15:00	Lunch (On Your Own)
15:00 to 15:45	An invitation to graph braid groups Ben Knudsen, Northeastern University
15:45 to 16:15	Coffee Break
16:15 to 17:00	Homotopy rigidity of quasitoric manifolds Xin Fu, Beijing Institute of Mathematical Sciences and Applications

Friday, August 2nd, 2024
09:30 to 10:15	On Bar Constructions and Polyhedral Products Li Cai, Xi'an Jiaotong-Liverpool University
10:15 to 10:45	Coffee Break
10:45 to 11:30	Loop space decompositions of moment-angle complexes associated to flag complexes and low dimensional simplicial complexes Lewis Stanton, University of Southampton
11:45 to 12:30	Remarks on the combinatorial topology of moment-angle complexes Sergio Chaves, University of Rochester

Registered Participants

Name	Affiliation
Abdulafeez Abdulkareem	Lagos State University
Ruslans Aleksejevs	University of California Berkeley
Hira Ali	Isabella Thoburn College
Steven Amelotte	Western University
M. Ali Asadi-Vasfi	University of Toronto
Anthony Bahri	Rider University
Petya Balabanov	Lomonosov Moscow State University
Martin Bendersky	Hunter College of CUNY
Christin Bibby	Louisiana State University
Nikolay Bogachev	University of Toronto
Alexander Bykovsky	Arizona State University
Li Cai	Xi'an Jiaotong-Liverpool University
Andrés Carnero Bravo	Centro de Ciencias Matemáticas, UNAM
Sergio Chaves	University of Rochester
Sihao Chen	University of Toronto
Tsung-Chen Chen	National Taiwan University
Georgii Chernykh	NRU Higher School of Economics
Jia Hua Chong	National Taiwan University
Yunhyung Cho	Sungkyunkwan University
Yong Cui	University of Maryland College Park
Rosie DeFazio	University of Waterloo
Graham Denham	Western University
Fernando Diaz Morera	Tulane University
Yuri Drobotov
Gopal Chandra Dutta	Indian Institute of Technology Madras
Briony Eldridge	University of Southampton
Salvatore Elia	University of Southampton
Sidnei Guerino Fabris Junior	Federal University of Parana - UFPR
Chi-Kwong Fok	Xi'an Jiaotong-Liverpool University
Matthias Franz	Western University
Xin Fu	Beijing Institute of Mathematical Sciences and Applications
Luciana Garbayo	Harvard Medical School
Tao Gong	Western University
Vladimir Gorchakov	Western University
Vladislav Grauman	Lomonosov Moscow State University
Jelena Grbić	University of Southampton
Abdul Halim	Georg-August-Universität Göttingen
Ian Hambleton	McMaster University
Oussama Hamza	Western University
Kamyar Hazaveh	University of Toronto
Nan-Kuo Ho	National Tsing Hua University
William Hornslien	Norwegian University of Science and Technology
Jesse Huang	University of Alberta
Manan Jain	IISER Mohali
Hyeontae Jang	Ajou University
Lisa Jeffrey	University of Toronto
Leo Jiang	University of Toronto
Ramandeep Kaur	Conestoga College
Daisuke Kishimoto	Kyushu University
Nour Klikha	USTHB
Ben Knudsen	Northeastern University
Khyathi Komalan	California Institute of Technology
Ian Leary	University of Southampton
Eunjeong Lee	Chungbuk National University
Shuang-Yen Lee	National Taiwan University
Vsevolod Lezhnev	Lomonosov Moscow State University
Ivan Limonchenko	Mathematical Institute of the Serbian Academy of Sciences and Arts
Abigail Harriet Medina Linton	Norwegian University of Science and Technology
Erica Liu	University of Waterloo
Yun Liu	Indiana University Bloomington
Xiaobin Li	Southwest Jiaotong University
Daria Maksimenko	Higher School of Economics
Christopher Manon	University of Kentucky
Himadri Kumar Mukerjee
Hakan Mülayim
Deepak Mundayurvalappil Sadanandan	Western University
Viktoriia Oganisian	Lomonosov Moscow State University
Taras Panov	Moscow State University
Eun Hong (Eugenie) Park	University of Manchester, Korea University, King's College London
Aidan Patterson
Cheng Fei Phung
Temurbek Rahmatullaev	Lomonosov Moscow State University
Abhishek Rajak	Queen Mary University of London
Hossein Roodbarani	York University
Sayantan Roy Chowdhury	Western University
Soumen Sarkar	Indian Institute of Technology Madras
Paul Selick	University of Toronto
Kris Shaw	University of Oslo
Kumar Sannidhya Shukla	Western University
Gurnoor Singh	Prayag College
Jongbaek Song	Pusan National University
Ben Sorowen	Moi University
Tse Leung So	Western University
Don Stanley	University of Regina
Lewis Stanton	University of Southampton
Alexandru Suciu	Northeastern University
Yuxuan Sun	University of Toronto
Stephen Theriault	University of Southampton
Carlos Gabriel Valenzuela Ruiz	University of Regina
Mathieu Vallée	Université Sorbonne Paris Nord and Institut Galilée, Université Paris 13
Yakov Veryovkin
Elizabeth Vidaurre	Molloy College
Uma Vikraman	Indian Institute of Technology Chennai
Francisco Villacis	University of Waterloo
Silas Vriend	McMaster University
Fedor Vylegzhanin
Sz-Sheng Wang	Institute of Mathematics, Academia Sinica, Taipei, Taiwan
Po-Sheng Wu	National Taiwan University
Eugene Xia	National Cheng Kung University
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Songyu Ye	Cornell University
Indira Zeinikesheva	University of Pittsburgh
Qiaofeng Zhu	Vassar College