Interdisciplinary applications of cluster algebras

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Workshop theme

The theory of cluster algebras has deep connections and applications to a wide variety of research areas, including representation theory, combinatorics, algebraic, hyperbolic and symplectic geometry, dynamical systems, number theory, topology and mathematical physics. The aim of the workshop will be to draw out these deep connections and applications, both within mathematics and in an interdisciplinary context. It will bring together mathematicians and physicists in a variety of different areas relating to cluster algebras, such as those above and other fields, to provide an opportunity for exchanging ideas and stimulating further progress.

Due to the ongoing COVID-19 pandemic, all non-UK based applicants should attend this event virtually.

Fees

Registration Only

Registration Package: £TBC
Student Registration Package: £TBC

The Registration Package includes admission to all seminars, lunches and refreshments on the days that lectures take place (Monday - Friday), wine reception and formal dinner, but does not include other meals or accommodation.

Formal Dinner Only

Formal Dinner: £50

Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event. For all remaining participants who would like to attend, such as programme participants, the above charge will apply.

Accommodation

Unfortunately we do not have any accommodation to offer so all successful applicants will need to source their own accommodation.

Please see the Hotels Combined website for a list of local hotels and guesthouses.

Meals

Lunch Lunch timings and location will be confirmed with timetable.

Evening Meal Participants are free to make their own arrangements for dinner.

Formal Dinner The Formal Dinner location and date is to be confirmed.

Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event.

Timetable

Monday 8th November 2021
12:00 to 12:20	Registration	No Room Required
12:20 to 12:50	Lunch	No Room Required
12:50 to 13:00	Christie Marr Isaac Newton Institute Chair: Alastair King, Moderator: Pierre-Guy Plamondon Welcome	No Room Required
13:00 to 13:30	Hugh Thomas Université du Québec à Montréal Chair: Alastair King, Moderator: Pierre-Guy Plamondon An Algebraic Variety Related to Tau-Tilting Theory	Room 1
13:30 to 13:45	Break	No Room Required
13:45 to 14:15	Amihay Hanany Imperial College London Chair: Alastair King, Moderator: Pierre-Guy Plamondon Tropical curves appear in physics in a natural way as the so called "brane webs"	Room 1
14:15 to 14:30	Break	No Room Required
14:30 to 15:00	Anastasia Volovich Brown University Chair: Alastair King, Moderator: Pierre-Guy Plamondon Singularities of Scattering Amplitudes from	Room 1
15:00 to 15:30	Afternoon Tea	No Room Required
15:30 to 16:00	James Drummond University of Southampton Chair: Alastair King, Moderator: Pierre-Guy Plamondon Cluster Adjacency for amplitudes from Gröbner bases	Room 1
16:00 to 16:15	Break	No Room Required
16:15 to 16:45	Nima Arkani-Hamed Institute for Advanced Study, School of Natural Sciences Chair: Alastair King, Moderator: Pierre-Guy Plamondon Spacetime and Quantum Mechanics, Particles and Strings, Polytopes and Binary Geometries	Room 1
16:45 to 17:00	Break	No Room Required
17:00 to 18:00	Welcome Wine Reception at INI	No Room Required

Tuesday 9th November 2021
12:00 to 13:00	Lunch	No Room Required
13:00 to 13:30	Mark Gross University of Cambridge Chair: Sibylle Schroll, Moderator: Raquel Coelho Simoes Where do scattering diagrams come from?	Room 1
13:30 to 13:45	Break	No Room Required
13:45 to 14:15	Man Wai Cheung Harvard University Chair: Sibylle Schroll, Moderator: Raquel Coelho Simoes Mirror Symmetry for Rank 2 Cluster Varieties	Room 1
14:15 to 14:30	Break	No Room Required
14:30 to 15:00	Linhui Shen Michigan State University Chair: Sibylle Schroll, Moderator: Raquel Coelho Simoes Cluster Algebras, Augmentations, and Legendrian Knots	Room 1
15:00 to 15:10	Group Photo	No Room Required
15:10 to 15:30	Afternoon Tea	No Room Required
15:30 to 16:15	Chair: Sibylle Schroll, Moderator: Raquel Coelho Simoes Cluster Algebra Via Non-Archimedean Enumerative Geometry (copy)	Room 1
15:30 to 16:15	Tony Yue Yu Université Paris Saclay Chair: Sibylle Schroll, Moderator: Raquel Coelho Simoes Cluster Algebra Via Non-Archimedean Enumerative Geometry	Room 1
16:15 to 16:45	Karin Baur University of Leeds; Karl-Franzens-Universität Graz Chair: Sibylle Schroll, Moderator: Raquel Coelho Simoes Orbifold Diagrams, Dimer Quivers and Associated Categories	Room 1

Wednesday 10th November 2021
12:00 to 13:00	Lunch	No Room Required
13:00 to 13:30	Alastair King University of Bath Chair: Nathan Reading, Moderator: Eleonore Faber Categorification of Perfect Matchings	Room 1
13:30 to 13:45	Break	No Room Required
13:45 to 14:15	Lara Bossinger Universidad Nacional Autonoma de Mexico (UNAM) Chair: Nathan Reading, Moderator: Eleonore Faber The g-fan and the Gröbner fan of Gr(2,n) and Gr(3,6)	Room 1
14:15 to 15:00	Break	No Room Required
15:00 to 15:30	Afternoon Tea	No Room Required
15:30 to 16:00	Peigen Cao Hebrew University of Jerusalem Chair: Nathan Reading, Moderator: Eleonore Faber Bongartz Completion Via C-Vectors	Room 1
16:00 to 16:15	Break	No Room Required
16:15 to 16:45	Dylan Allegretti University of British Columbia Chair: Nathan Reading, Moderator: Eleonore Faber Harmonic maps and cluster coordinates	Room 1
19:30 to 22:00	Formal Dinner	No Room Required

Thursday 11th November 2021
12:00 to 13:00	Lunch	No Room Required
13:00 to 13:30	Melissa Sherman-Bennett University of Michigan Chair: Khrystyna Serhiyenko, Moderator: Hipolito Treffinger The hypersimplex and the m=2 amplituhedron	Room 1
13:30 to 13:45	Break	No Room Required
13:45 to 14:15	Fan Qin Shanghai Jiao Tong University Chair: Khrystyna Serhiyenko, Moderator: Hipolito Treffinger Bracelets are theta functions	Room 1
14:15 to 14:30	Break	No Room Required
14:30 to 15:00	Ana Garcia Elsener University of Glasgow Chair: Khrystyna Serhiyenko, Moderator: Hipolito Treffinger Extensions in Jacobian algebras via punctured skein relations	Room 1
15:00 to 15:30	Afternoon Tea	No Room Required
15:30 to 16:00	Anna Felikson Durham University Chair: Khrystyna Serhiyenko, Moderator: Hipolito Treffinger Finite mutation type in presence of coefficients	Room 1
16:00 to 16:15	Break	No Room Required
16:15 to 16:45	Misha Gekhtman University of Notre Dame Chair: Khrystyna Serhiyenko, Moderator: Hipolito Treffinger Twisted factorizations and multiple cluster structures in simple Lie groups	Room 1

Friday 12th November 2021
12:00 to 13:00	Lunch	No Room Required
13:00 to 13:30	Sophie Morier-Genoud Sorbonne Université Chair: Gregg Musiker, Moderator: Sira Gratz q-analogues of numbers and matrices	Room 1
13:30 to 13:45	Break	No Room Required
13:45 to 14:15	Gregory Muller University of Oklahoma Chair: Gregg Musiker, Moderator: Sira Gratz Reciprocity for Valuations of Theta Functions	Room 1
14:15 to 14:30	Break	No Room Required
14:30 to 15:00	Alexander Shapiro University of Edinburgh Chair: Gregg Musiker, Moderator: Sira Gratz Holes in higher Teichmuller theory	Room 1
15:00 to 15:30	Afternoon Tea	No Room Required
15:30 to 16:00	Sergey Fomin University of Michigan Chair: Gregg Musiker, Moderator: Sira Gratz Heronian Friezes	Room 1
16:00 to 16:15	Break	No Room Required
16:15 to 16:45	Gordana Todorov Northeastern University Chair: Gregg Musiker, Moderator: Sira Gratz Homology of Picture Groups of Type An	Room 1

Cluster algebras and representation theory

Interdisciplinary applications of cluster algebras

Organisers

Li Li Oakland University
Bethany Marsh University of Leeds
Pierre-Guy Plamondon Université de Versailles Saint-Quentin-en-Yvelines
Ralf Schiffler University of Connecticut

Speakers

Dylan Allegretti University of British Columbia
Nima Arkani-Hamed Institute for Advanced Study, School of Natural Sciences
Karin Baur University of Leeds; Karl-Franzens-Universität Graz
Lara Bossinger Universidad Nacional Autonoma de Mexico (UNAM)
Peigen Cao Hebrew University of Jerusalem
Man Wai Cheung Harvard University
James Drummond University of Southampton
Anna Felikson Durham University
Sergey Fomin University of Michigan
Ana Garcia Elsener University of Glasgow
Misha Gekhtman University of Notre Dame
Mark Gross University of Cambridge
Amihay Hanany Imperial College London
Alastair King University of Bath
Sophie Morier-Genoud Sorbonne Université
Gregory Muller University of Oklahoma
Fan Qin Shanghai Jiao Tong University
Alexander Shapiro University of Edinburgh
Linhui Shen Michigan State University
Melissa Sherman-Bennett University of Michigan
Hugh Thomas Université du Québec à Montréal
Gordana Todorov Northeastern University
Anastasia Volovich Brown University
Tony Yue Yu Université Paris Saclay

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Participants

Simonetta Abenda Università di Bologna
Dylan Allegretti University of British Columbia
Nima Arkani-Hamed Institute for Advanced Study, School of Natural Sciences
Ibrahim Assem None / Other; Université de Sherbrooke
Karin Baur University of Leeds; Karl-Franzens-Universität Graz
Charlie Beil Independent Consultant/Independent Researcher
Sandipan Bhattacherjee None / Other
Lara Bossinger Universidad Nacional Autonoma de Mexico (UNAM)
Aslak Bakke Buan Norwegian University of Science and Technology
Erlend D. Børve NTNU
Ilke Canakci Vrije Universiteit Amsterdam
Wen Chang Shaanxi Normal University
Xueqing Chen None / Other
Man Wai Cheung Harvard University
Manuel Cortés-izurdiaga Universidad de Málaga
Oliver Daisey Durham University
Benjamin Dequêne Université du Québec à Montréal
James Drummond University of Southampton
Drew Duffield Durham University
Eleonore Faber University of Leeds
Anna Felikson Durham University
Sergey Fomin University of Michigan
Chris Fraser Michigan State University
Changjian Fu Sichuan University
Monica Garcia Université Paris-Saclay; Université de Versailles Saint-Quentin-en-Yvelines
Ana Garcia Elsener University of Glasgow
Misha Gekhtman University of Notre Dame
Andrey Glubokov Purdue University
Jan Grabowski Lancaster University
Sira Gratz University of Glasgow
Mark Gross University of Cambridge
Emily Gunawan University of Oklahoma
Ömer Gurdogan University of Southampton
Mohamad Haerizadeh University of Tehran
Amihay Hanany Imperial College London
Min Huang Sun Yat-sen University
Rei Inoue Chiba University
Osamu Iyama University of Tokyo
Haibo Jin University of Cologne
Wonwoo Kang University of Illinois at Urbana-Champaign
Elizabeth Kelley University of Illinois at Urbana-Champaign
Wookyung Kim Lancaster University - Mathematics and Statistic Dept.
Alastair King University of Bath
Olga Kravchenko Université Claude Bernard Lyon 1
Daniel Labardini-Fragoso Universidad Nacional Autonoma de Mexico (UNAM)
Li Li Oakland University
Saikat Maity University of Calcutta; Indian Institute of Technology
Bethany Marsh University of Leeds
Astrid Carolina Melo lopez Universidad Nacional de Colombia
Sophie Morier-Genoud Sorbonne Université
Davide Morigi University of East Anglia
Lang Mou University of Cambridge
Dixy Msapato University of Leeds
Gregory Muller University of Oklahoma
Gregg Musiker University of Minnesota
Tomoki Nakanishi Nagoya University
Alireza Nasr-Isfahani University of Isfahan; IPM - Institute for Research In Fundamental Sciences
Ba Nguyen Virginia Polytechnic Institute and State University
Nicholas Ovenhouse University of Minnesota
Pierre-Guy Plamondon Université de Versailles Saint-Quentin-en-Yvelines
Matthew Pressland University of Leeds
Fan Qin Shanghai Jiao Tong University
Yu Qiu Tsinghua University
Nathan Reading North Carolina State University
Ralf Schiffler University of Connecticut
Sibylle Schroll University of Cologne
Jan Schröer Universität Bonn
Khrystyna Serhiyenko University of Kentucky
Alexander Shapiro University of Edinburgh
Michael Shapiro Michigan State University; Higher School of Economics, Moscow
Ekaterina Shemyakova University of Toledo
Linhui Shen Michigan State University
Melissa Sherman-Bennett University of Michigan
Ashish Srivastava Saint Louis University
Hugh Thomas Université du Québec à Montréal
Gordana Todorov Northeastern University
Hipolito Treffinger Université Paris 7 - Denis-Diderot
Sonia Elisabet Trepode Universidad Nacional de Mar del Plata
Michail Tsironis Vrije Universiteit Amsterdam
Pavel Tumarkin Durham University
Yadira Valdivieso-Diaz University of Leicester
Dmitriy Voloshyn University of Notre Dame
Anastasia Volovich Brown University
Yu Wang University of Cambridge
Isobel Webster University of St Andrews
Lauren Williams Harvard University
Emine Yildirim Isaac Newton Institute; University of Cambridge
Tony Yue Yu Université Paris Saclay
Haiyan Yu Chongqing University