Workshop on Toric Topology

August 19 - 23, 2024, The Fields Institute

Location: Fields Institute, Room 230

Description

Scientific Goals

The workshop will explore new themes of research in toric topology. It will provide an opportunity for interaction between people who work on different aspects of torus actions, such as topological, combinatorial, symplectic and algebro-geometric.

List of Invited Speakers

Jeffrey Carlson, Tufts University
Yunhyung Cho, Sungkyunkwan University
Suyoung Choi, Ajou University
Peter Crooks, Utah State University
Matthias Franz, Western University
Jelena Grbić, University of Southampton
Megumi Harada, McMaster University
Nan-Kuo Ho, National Tsing Hua University
Lisa Jeffrey, University of Toronto
Yael Karshon, Tel Aviv University & University of Toronto
Kiumars Kaveh, University of Pittsburgh
Shintaro Kuroki, Okayama University of Science
Eunjeong Lee, Chungbuk National University
Mikiya Masuda, Osaka City University
Seonjeong Park, Jeonju University
Soumen Sarkar, Indian Institute of Technology Madras
Jongbaek Song, Pusan National University
Svjetlana Terzic, University of Montenegro
Susan Tolman, University of Illinois Urbana-Champaign
Julianna Tymoczko, Smith College
Carlos Gabriel Valenzuela Ruiz, University of Regina
Uma Vikraman, Indian Institute of Technology Madras

List of Contributed Talks

Georgii Chernykh, NRU Higher School of Economics & Steklov Mathematical Institute of RAS
Tao Gong, Western University
Vladimir Gorchakov, Western University
Hyeontae Jang, Ajou University
Yakov Veryovkin, NRU Higher School of Economics & Steklov Mathematical Institute of RAS
Fedor Vylegzhanin, NRU Higher School of Economics
Younghan Yoon, Ajou University
Seonghyeon Yu, Ajou University

Participation Instruction:

You can watch all the recordings here: https://www.youtube.com/playlist?list=PLArBKNfJxuukILr-_IZCyA4Q7gO8PO1sp

Schedule

Monday, August 19th, 2024
09:10 to 09:15	Opening Remarks
09:15 to 10:00	Automorphisms of GKM graphs and regular semisimple Hessenberg varieties Mikiya Masuda, Osaka Central Advanced Mathematical Institute
10:00 to 10:30	Coffee Break
10:30 to 11:15	Steenrod operations on polyhedral products Jelena Grbić, University of Southampton
11:25 to 12:10	Splines, equivariant cohomology, and applied mathematics Julianna Tymoczko, Smith College
12:10 to 13:40	Lunch (On Your Own)
13:40 to 14:25	Degenerations and compactifications of varieties from mutations of polytopes Megumi Harada, McMaster University
14:35 to 15:05	The Lie algebra associated with the lower central series of a right-angled Coxeter group Yakov Veryovkin, NRU Higher School of Economics and Steklov Mathematical Institute of RAS
15:05 to 15:35	Coffee Break
15:35 to 16:20	Cluster algebras and monotone Lagrangian tori Yunhyung Cho, Sungkyunkwan University
16:30 to 17:00	Commutator subgroups and subalgebras in toric topology Fedor Vylegzhanin, NRU Higher School of Economics

Tuesday, August 20th, 2024
09:15 to 10:00	An $A_\infty$-version of the Eilenberg-Moore theorem Matthias Franz, Western University
10:00 to 10:30	Coffee Break
10:30 to 11:15	Equivariant formality of isotropy actions and products of spheres Jeffrey Carlson, Imperial College London
11:25 to 12:10	The tt*-Toda equations and symplectic groupoids Nan-Kuo Ho, National Tsing Hua University
12:10 to 13:40	Lunch (On Your Own)
13:40 to 14:10	Homotopy types of toric orbifolds from Weyl polytopes Tao Gong, Western University
14:20 to 15:05	Gelfand-Cetlin analogues in integrable systems Lisa Jeffrey, University of Toronto Location:Online
15:05 to 15:35	Coffee Break
15:35 to 16:20	Integrating vector fields on subcartesian spaces Yael Karshon, Tel Aviv University and University of Toronto
16:30 to 17:00	Homology of the real toric varieties associated with the Weyl group of types $E_{7}$ and $E_{8}$ Seonghyeon Yu, Ajou University
18:00 to 20:00	Reception (Prenup Pub, 191 College St, Toronto, ON M5T 1P9)

Wednesday, August 21st, 2024
09:15 to 10:00	Extending complexity one Hamiltonian actions Susan Tolman, University of Illinois Urbana-Champaign
10:00 to 10:30	Coffee Break
10:30 to 11:15	On integral cohomology of weighted Grassmann orbifolds Soumen Sarkar, Indian Institute of Technology Madras
11:25 to 12:10	Vector-valued Laurent polynomial equations, toric vector bundles and matroids Kiumars Kaveh, University of Pittsburgh
12:10 to 12:20	Group Photos

Thursday, August 22nd, 2024
09:15 to 10:00	Toric varieties arising from polygon dissections Seonjeong Park, Jeonju University
10:00 to 10:30	Coffee Break
10:30 to 11:15	Classification of locally standard torus actions Shintaro Kuroki, Okayama University of Science
11:25 to 12:10	Integral cohomology ring of a toric surface Jongbaek Song, Pusan National University
12:10 to 13:40	Lunch (On Your Own)
13:40 to 14:10	Three-dimensional small covers and links Vladimir Gorchakov, Western University
14:20 to 15:05	Moduli spaces of weighted pointed stable curves and Grassmannians $G_{n,2}$ Svjetlana Terzic, University of Montenegro
15:05 to 15:35	Coffee Break
15:35 to 16:20	On torus orbit closures in flag varieties Eunjeong Lee, Chungbuk National University
16:30 to 17:00	Real toric manifolds and permutations derived from chordal nestohedra Younghan Yoon, Ajou University

Friday, August 23rd, 2024
09:15 to 10:00	Equivariant $K$-theory of cellular toric varieties and related spaces Uma Vikraman, Indian Institute of Technology Chennai Location:Online
10:00 to 10:30	Coffee Break
10:30 to 11:15	Triangulated Spheres and their double homology Carlos Gabriel Valenzuela Ruiz, University of Regina
11:25 to 12:10	Scheme-theoretic coisotropic reduction Peter Crooks, Utah State University
12:10 to 13:40	Lunch (On Your Own)
13:40 to 14:10	Seeds with maximal Buchstaber number Hyeontae Jang, Ajou University
14:20 to 14:50	On the rigidity of some Hirzebruch genera Georgii Chernykh, NRU Higher School of Economics and Steklov Mathematical Institute of RAS
15:00 to 15:45	Buchstaber Numbers and Toric Wedge Induction Suyoung Choi, Ajou University

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
Nikolay Bogachev	University of Toronto
Alexander Bykovsky	Arizona State University
Jeffrey Carlson	Imperial College London
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 and Steklov Mathematical Institute of RAS
Suyoung Choi	Ajou University
Carissa Cho-Lee	University of Toronto
Jia Hua Chong	National Taiwan University
Yunhyung Cho	Sungkyunkwan University
Peter Crooks	Utah State University
Yong Cui	University of Maryland College Park
Mike Cummings	University of Waterloo
Alastair Darby	Xi'an Jiaotong-Liverpool University
Rosie DeFazio	University of Waterloo
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	University of Central Florida
Félix Gélinas	York University
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
Megumi Harada	McMaster University
Kamyar Hazaveh	University of Toronto
Nan-Kuo Ho	National Tsing Hua University
William Hornslien	Norwegian University of Science and Technology
Manan Jain	IISER Mohali
Hyeontae Jang	Ajou University
Lisa Jeffrey	University of Toronto
Leo Jiang	University of Toronto
Shim Jou
Yael Karshon	Tel Aviv University and University of Toronto
Ramandeep Kaur	Conestoga College
Hyunmoon Kim	University of Toronto
Nour Klikha	USTHB
Khyathi Komalan	California Institute of Technology
Shintaro Kuroki	Okayama University of Science
Eunjeong Lee	Chungbuk National University
Shuang-Yen Lee	National Taiwan University
Vsevolod Lezhnev	Lomonosov Moscow State University
Erica Liu	University of Waterloo
Yichen Liu	University of Illinois at Urbana-Champaign
Yun Liu	Indiana University Bloomington
Xiaobin Li	Southwest Jiaotong University
Daria Maksimenko	Higher School of Economics
Mikiya Masuda	Osaka Central Advanced Mathematical Institute
Himadri Kumar Mukerjee
Hakan Mülayim
Deepak Mundayurvalappil Sadanandan	Western University
Viktoriia Oganisian	Lomonosov Moscow State University
Godwin Onwona-Agyeman	Ghana Education Service, Akumadan Senior High School
Taras Panov	Moscow State University
Eun Hong (Eugenie) Park
Seonjeong Park	Jeonju University
Aidan Patterson
Cheng Fei Phung
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
Yuxuan Sun	University of Toronto
Svjetlana Terzic	University of Montenegro
Stephen Theriault	University of Southampton
Susan Tolman	University of Illinois Urbana-Champaign
Christopher Tominich	Springer
Le GIa Khanh Truong	Ho Chi Minh City University of Education
Julianna Tymoczko	Smith College
Carlos Gabriel Valenzuela Ruiz	University of Regina
Mathieu Vallée
Yakov Veryovkin	NRU Higher School of Economics and Steklov Mathematical Institute of RAS
Elizabeth Vidaurre	Molloy College
Uma Vikraman	Indian Institute of Technology Chennai
Francisco Villacis	University of Waterloo
Fedor Vylegzhanin	NRU Higher School of Economics
Sz-Sheng Wang	Institute of Mathematics, Academia Sinica, Taipei, Taiwan
Nikolas Wardenski	University of Haifa
Po-Sheng Wu	National Taiwan University
Eugene Xia	National Cheng Kung University
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Ergun Yalcin	Bilkent University
Songyu Ye	Cornell University
Younghan Yoon	Ajou University
Seonghyeon Yu	Ajou University
Indira Zeinikesheva
Qiaofeng Zhu	Vassar College