Cluster Algebras Portal
This is a collection of links on cluster algebras and
related topics.
Papers
Conferences, summer schools, and lecture series
2003-2010 (49 events)
- Cluster algebras
at the
Sophus Lie Conference Center,
Nordfjordeid, 2003.
- Lecture notes for the
conference
Current Developments
in Mathematics, Cambridge, MA, 2003.
- Root systems and
generalized associahedra,
Park City Mathematics Institute,
2004.
-
Braid Groups, Clusters and Free Probability, Palo Alto, 2005.
-
Cluster
algebras, master class at
CIRM,
Luminy, 2005.
-
Representations of Algebras and Related Topics, Boston, 2005.
-
Representation Theory and Related Topics, Trieste, 2006.
-
Teichmüller Theory and Cluster Algebras, Leicester, 2006.
-
Cluster Algebras and Cluster Tilted Algebras,
Bielefeld, 2006.
-
Cluster Algebras and Applications (NSF/CBMS),
Raleigh, 2006.
-
Perspectives on rings and algebras,
Murcia, 2006.
-
Microlocal and Geometric Methods in Representation Theory,
Schloss Reisensburg, 2006.
-
Perspectives in Representation Theory,
Bad Honnef, 2006.
-
Symmetries and Integrability of Difference Equations,
Melbourne, 2006.
-
XIX Escola de Algebra, Belo Horizonte, 2006.
-
Quantum Moduli Spaces and TQFT,
Aarhus, 2006.
-
Cluster algebras
mini-course at University of Lisbon, 2006.
-
Cluster algebras at CMS Meeting,
Toronto, 2006.
-
Groupes, géometrie et représentations, Amiens, 2007.
-
Perspectives in Auslander-Reiten Theory, Trondheim, 2007.
-
ICRA XII, Torun, 2007.
-
Categorification, Quantization and Clusters, Beijing, 2007.
-
Maurice Auslander Lectures, Boston, 2007.
-
Representation Theory and Related Topics, Boston, 2007.
- LieGrits
Workshop, Oxford, 2008.
-
Lie Theory,
MSRI, 2008.
-
Topics in Combinatorial Representation Theory,
MSRI, 2008.
- Higher Teichmüller Theory, Clusters and Quantization,
Jerusalem, 2008.
-
Combinatorics of moduli spaces, Hurwitz numbers, and cluster
algebras,
Moscow, 2008.
-
Representation Theory of Algebras,
Tehran, 2008.
-
Algebraic Structures in Geometry and Physics,
Leicester, 2008.
-
ICRA XIII, Sao Paulo, 2008.
-
Interactions Between Noncommutative Algebra and Algebraic
Geometry, Banff, 2008.
- Cluster Algebras and
Related Topics, Morelia and Mexico City, 2008.
- Representations of Algebras and
Related Topics, Woods Hole, 2009.
- Felix
Klein Lectures, Bonn, 2009.
-
Homological and geometric methods in algebra, Trondheim, 2009.
-
Representation Theory and Combinatorics, Beijing, 2009.
-
Séminaire
Bourbaki, Paris, 2009.
-
Combinatorics and Representation Theory, Coimbra, 2010.
-
Dean Jacqueline B. Lewis Memorial Lectures, New Brunswick, NJ, 2010.
-
Homological and Geometrical Methods in Representation Theory, Trieste, 2010.
-
Combinatorics of Moduli Spaces, Cluster Algebras, and Symplectic Invariants, Moscow, 2010.
-
Cluster algebras and representation theory, Leeds, 2010.
-
Teichmüller Theory and its Interactions in Mathematics and
Physics, Bellaterra, 2010.
-
Cluster algebras and quiver representations, Tehran, 2010.
-
ICRA XIV, Tokyo, 2010.
-
Colloque sur les surfaces et les représentations, Sherbrooke, 2010.
-
Algebraic and geometric aspects of discrete integrable systems -- Integrable systems and cluster algebras,
Tokyo, 2010.
2011-2020 (89 events)
-
Cluster Algebras and Lusztig's Semicanonical Basis,
Eugene, OR, 2011.
-
Abel Symposium: Algebras, Quivers, and Representations,
Balestrand, Norway, 2011.
-
Cluster Algebras and Cluster Combinatorics,
Summer Graduate Workshop, MSRI, 2011.
-
Twenty-five years of representation theory of quantum groups,
Banff, 2011.
-
Cluster algebras and statistical physics,
ICERM, Providence, 2011.
-
Cluster algebras, representation theory, and Poisson geometry,
Banff, 2011.
-
Wall crossing,
Bures-sur-Yvette, 2011.
-
Quantum cluster algebras
and related topics, Osaka, 2011.
-
Noncommutative
Birational Geometry and Cluster Algebras, Boston, 2012.
-
Cluster
Categories and Cluster Tilting,
Trondheim,
2012.
-
Cluster Algebras and Combinatorics,
Graz, 2012.
-
Tropical geometry and cluster algebras, Paris, 2012.
-
Geometry,
representation theory and clusters,
Leicester, 2012.
-
Combinatorics of moduli spaces, cluster algebras, knots, and
topological recursion, Moscow, 2012.
-
Cluster Algebras and Related Topics, Regina, 2012.
-
ICRA XV, Bielefeld, 2012.
-
Connections for Women, Cluster Algebras and
Commutative Algebra programs, MSRI, 2012.
-
Introductory Workshop, Cluster Algebras and Commutative
Algebra programs, MSRI, 2012.
-
Mathematics and Physics of Moduli
Spaces, Heidelberg, 2012.
-
Cluster Algebras in Combinatorics, Algebra, and Geometry, MSRI,
2012.
-
Triangulations and Mutations, Newcastle,
2013.
-
Cluster Algebras and Related Combinatorics, AMS Special Session,
Boulder, CO,
2013.
-
Maurice
Auslander Lectures and Conference, Woods Hole, MA,
2013.
-
Algebra, Combinatorics and Representation Theory
(Zelevinsky Fest),
Boston, 2013.
-
Cluster Algebras and
Tropical Geometry, Strasbourg,
2013.
-
Mirror Symmetry and Cluster Algebras,
Leeds, 2013.
-
Cluster Algebras and Representation Theory, Oberwolfach,
2013.
-
Cluster Algebras and Related Topics, Oberwolfach,
2013.
-
Cluster Algebras and Combinatorics,
Münster, 2014.
-
Hall and Cluster Algebras,
Montreal, 2014.
-
Cluster Algebras,
Snowbird, UT, 2014.
-
Non-crossing partitions in representation theory,
Bielefeld, 2014.
-
Combinatorics of Moduli Spaces,
Cluster Algebras and Topological Recursion, Moscow, 2014.
-
Integrability and Cluster Algebras: Geometry and Combinatorics,
ICERM, Providence, 2014.
-
Cluster Algebras in Mathematical Physics, Summer School,
Nagoya, 2014.
-
Cluster algebras
and preprojective algebras, Cardiff, 2014.
-
Cluster algebras and representation theory, Seoul, 2014.
-
Cluster algebras in combinatorics and topology, Seoul, 2014.
-
Strings, quivers and cluster algebras in mathematical physics, Seoul, 2014.
-
Cluster Algebras and Dynamical Systems,
Münster, 2015.
-
Cluster algebras and integrable systems, Durham, 2015.
-
SAGE
Days 64.5: Cluster Algebras, Minneapolis, 2015.
-
Cluster
algebras and finite dimensional algebras, Leicester, 2015.
-
Algebraic
Interfaces of Integrability,
Leeds, 2015.
-
Positive
Grassmannians, Montreal, 2015.
-
Total
positivity: a bridge between representation theory and physics, Canterbury, 2016.
-
Homological Methods, Representation Theory and Cluster Algebras, Mar del Plata, 2016.
-
Cluster
Algebras and Geometry, Münster, 2016.
-
Hot Topics: Cluster algebras
and wall-crossing, MSRI, Berkeley, 2016.
-
Quivers and bipartite
graphs, London, 2016.
-
Combinatorics of Moduli Spaces,
Hurwitz numbers, and cohomological field theories, Moscow, 2016.
-
Symmetries and Integrability of Difference Equations,
Sainte-Adèle, QC, 2016.
-
ICRA 2016, Syracuse, 2016.
-
Lie theory and cluster algebras, Rome, 2016.
-
Quivers,
cluster algebra and mathematical physics, Hong Kong, 2016.
-
Stability conditions, Donaldson-Thomas invariants and cluster varieties, Sheffield, 2017.
-
Cluster algebras and log Gromov-Witten invariants
in the Gross-Siebert program, KIAS, Seoul, 2017.
-
New
trends in representation theory: The impact of cluster theory in
representation theory,
Leicester, 2017.
-
Quiver
Grassmannians and their applications, Wuppertal, 2017.
-
Cluster algebras in mathematical physics, Mainz, 2017.
-
Cluster
algebras,
Storrs, CT, 2017.
-
Cluster algebras and related topics,
Tianjin, 2017.
-
Cluster varieties and mathematical physics, Oaxaca, January 2018.
-
Cluster algebras: Twenty years on, Luminy, March 2018.
-
Cluster algebras and mathematical physics, East Lansing, May 2018.
-
R-matrices, cluster algebras, and integrable systems, Nagoya, May 2018.
-
Combinatorics
of moduli spaces, cluster algebras and topological recursion,
Moscow, June 2018.
-
Interactions of quantum affine algebras with cluster algebras, current algebras and categorification, June 2018.
-
Non-commutative structures, cluster algebras and applications (Retakh Fest), Angers, June 2018.
-
Cluster algebras and algebraic geometry, Nottingham, July 2018.
-
Stability
conditions and representation theory of finite-dimensional
algebras, Banff, October-November 2018.
-
Combinatorics and beyond,
Ann Arbor, November 2018.
-
Cluster algebras, Bangalore, December 2018.
-
Cluster structures in
geometry, physics, combinatorics and representation theory, Jerusalem, December 2018.
-
Tropical Geometry meets Representation Theory II, Leicester, April 2019.
-
Faces of integrability, Montreal, April-May 2019.
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Interactions between representation theory and homological mirror symmetry, Leicester, May 2019.
-
Mirror Symmetry and Cluster Algebras, Cambridge, UK, July 2019.
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Quiver varieties and representation theory, Montreal, August 2019.
-
Mutations: mirror symmetry, deformations, and combinatorics, Banff, August 2019.
-
Algèbres amassées, théorie des représentations et combinatoire, Amiens, September 2019.
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Algebraic Representation Theory and Related Topics, Sanya, October 2019.
-
Poisson Geometry, Stokes Automorphisms and Cluster Algebras, Beijing, December 2019.
-
Cluster Algebras, Representation Theory, and Geometry, Osaka, March 2020 (canceled).
-
75th Encounter with Mathematics:
Cluster Algebras, Tokyo, March 2020.
-
Cluster Algebras and the Geometry of Scattering Amplitudes, Edinburgh, March 2020.
-
The McKay correspondence, mutation and related topics, , (online), July-August 2020.
-
ICRA 2020,
Trieste, July 2020 November 2020 (online).
-
Dimers in Combinatorics and Cluster Algebras,
Ann Arbor, August 2020 (online).
-
Cluster Algebras 2020,
August 2020 (online).
-
Cluster algebras and plabic graphs, AMS Special Session (online), October 2020.
2021 and beyond
-
Legendrians, cluster algebras,
and mirror symmetry, IBS/Pohang (online), January 2021.
-
Braids, mutations and twists in algebra and geometry, Uppsala, May-June 2021.
-
Cluster algebras and related topics, Beijing (online), August 2021.
-
Cluster algebras and moduli spaces, Sochi, August 2021.
-
Cluster algebras and representation theory research school,
Cambridge, UK, September 2021.
-
New developments in representation theory arising from cluster algebras,
Cambridge, UK, September 2021.
-
Infinite Analysis 21: Around cluster algebras,
Japan (online), September 2021.
-
Interdisciplinary applications of cluster algebras,
Cambridge, UK, November 2021.
-
Scattering amplitudes, cluster algebras, and positive geometries,
Oberwolfach, December 2021.
-
Quantum groups and cluster algebras,
Seoul (online), February 2022.
-
WINART3 workshop,
Banff, April 2022.
-
Bridges between representation theory and algebraic geometry:
Singularities, friezes and cluster categories, Leeds, May 2022.
-
Combinatorics of moduli spaces, cluster algebras and topological recursion (canceled),
St. Petersburg and
Moscow, June 2022.
-
Geometric and combinatorial methods in homological algebra,
Aarhus, July 2022.
-
Mutations: from cluster algebras to representation theory,
Montreal, July 2022.
-
ICRA 20,
Montevideo-Buenos Aires, August 2022.
-
Trends in cluster algebras,
Japan (online), September 2022.
-
Bases for cluster algebras,
Oaxaca, September 2022.
-
Cluster algebras, topological recursion and integrability,
Moscow (online), October 2022.
-
Representation theory, combinatorics and geometry,
Singapore, December 2022-January 2023.
-
Interplay between symplectic geometry and cluster theory,
Heidelberg, January 2023.
-
Quivers, clusters, moduli and stability,
Oxford, January 2023.
-
Cluster algebras and braid varieties,
San Jose, January 2023.
-
Representation theory of quivers and finite-dimensional algebras,
Oberwolfach, February 2023.
-
Combinatorics and geometry of convex polyhedra,
Stony Brook, March 2023.
-
Categories, clusters, and completions,
Aarhus, March 2023.
-
Advances in cluster algebras 2023 (online), March 2023.
-
Crossroads of geometry, representation theory and higher structures,
Puerto Madryn, Argentina, March 2023.
-
Combinatorial aspects of representation theory,
Oslo, March 2023.
-
Cluster algebras, positivity and related topics,
Cincinnati, OH, April 2023.
-
Mutations in representation theory of algebras
(online), May 2023.
-
Cluster algebras and Poisson geometry,
Levico Terme, June 2023.
-
Cluster algebras and related topics in East Asia,
Seoul, June 2023.
-
Cluster structures in the North,
Preston, UK, June 2023.
-
Combinatorial representation theory,
Leeds, July 2023.
-
Dimers:
Combinatorics, representation theory and physics,
New York City, August 2023.
-
Summer school on cluster algebras
(online), August 2023.
-
Polylogarithms, cluster algebras, and scattering amplitudes,
College Park, MD, September 2023.
-
Cluster algebra, representation theory and algebraic geometry,
Hong Kong, September 2023.
-
Arbeitsgemeinschaft: Cluster Algebras,
Oberwolfach, October 2023.
-
Current trends in representation theory, cluster algebras and geometry,
Luminy, November 2023.
-
Cluster algebras and its applications,
Oberwolfach, January 2024.
-
Physical mathematics and beyond,
Seoul, January 2024.
-
Clusters and their applications in the North,
Glasgow, February 2024; Preston, June 2024.
-
Positive geometry in particle physics and cosmology,
Leipzig, February 2024.
-
Mathematical aspects of N=4 super-Yang-Mills Theory,
Stony Brook, February 2024.
-
Advances in cluster algebras,
Nagoya, March 2024.
-
Continued fractions and SL2-tilings,
Durham, March 2024.
-
Statistical mechanics and discrete geometry,
IPAM, Los Angeles, March 2024.
-
Cluster algebras, Hall algebras and representation theory,
Milwaukee, WI, April 2024.
-
Representation theory of algebras and related areas,
Okinawa, April 2024.
-
Amplituhedra, cluster algebras, and positive geometry,
Cambridge, MA, May 2024.
-
Catégories amassées et symétrie miroir,
Strasbourg, May 2024.
-
Quivers, clusters and Lie theory,
Mexico City, June 2024.
-
Mirror symmetry for cluster varieties and representation theory,
London, June 2024.
-
Cluster algebras summer school,
Storrs, CT, June 2024.
-
ICRA 21,
Shanghai, August 2024.
-
Integrability, Q-systems and cluster algebras,
Varna, August 2024.
-
Mathematics behind scattering amplitudes,
Florence, August 2024.
-
Women in representation theory: quivers, mutations, and beyond,
Bielefeld, September 2024.
-
Discrete integrable systems: difference equations, cluster algebras and probabilistic models,
Bangalore, October 2024.
-
Cluster algebra, representation theory
and algebraic geometry,
Hong Kong, November 2024.
-
New developments in representation theory of algebras,
Okinawa, November 2024.
-
The theory of cluster algebras and its applications,
Abu Dhabi, December 2024.
-
Perspectives on Markov mumbers,
Banff, January 2025.
-
Spring school on cluster algebras, Nagoya, February 2025.
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Categorification and quantisation in cluster theory and beyond, Caen, March 2025.
-
Representation theory, symplectic geometry, and cluster algebras,
Banff, March-April 2025.
-
Frieze patterns in algebra, combinatorics and geometry,
Luminy, May 2025.
-
Summer school in total positivity and quantum field theory,
Cambridge, MA, June 2025.
-
Cluster geometry,
Nordfjordeid, June 2025.
-
The amplituhedron: structure, combinatorics, and positive geometry,
Les Diablerets, June-July 2025.
-
Tropical geometry, twistor spaces and cluster geometry,
special session at the
Mathematical Congress of the Americas,
Miami, July 2025.
-
Cluster algebras and braid varieties,
Eugene, OR, August 2025.
-
Markov Numbers and the Combinatorics of Cluster Algebras,
Istanbul, August 2025.
-
Webs in algebra, geometry, topology and combinatorics,
Providence, RI, December 2025.
Seminars and working groups
-
Université Lyon 1, 2004.
-
Institut de
Mathématiques de Jussieu, 2004-2010.
-
Université de Picardie, 2004.
-
UNAM, Mexico,
2004,
2007.
-
University of Leicester, 2005.
-
Fields Institute, 2005-06.
-
University of Bielefeld, 2005-06.
-
University of Manchester, 2006-07.
-
University of Leeds, 2007.
- ETH Zürich,
2006-07,
2009,
2010.
-
University of Paderborn, 2008-10.
-
University of Hannover, 2009.
-
University of Sherbrooke, 2010.
-
M.I.T.-Northeastern, 2011.
-
University of California at Berkeley, 2011.
-
University of Bonn, 2012.
-
University of Connecticut, 2013-present.
-
University of California at Berkeley, 2013.
-
Nagoya University, 2013-2015.
-
University of Michigan, 2014.
- University of Notre Dame:
2016,
2019.
- Université de
Strasbourg, 2016.
- Michigan State University, 2017-present.
- Zoom Cluster Seminar, 2020.
- Online Cluster Algebras Seminar, 2020.
- Yale University, 2020-2021.
- HSE Moscow, 2021-2022.
-
Cluster structures on coordinate rings, 2021-2022.
-
University of Hamburg, 2021-2022.
-
Cluster Colloquium, online, 2025-.
Courses
-
University of Leeds, 2008 (by B. R. Marsh)
-
UNAM, 2008 (by Michael Barot
and Christof Geiss)
-
Harvard University, 2008 (by Lauren Williams)
-
University of Oregon, 2009 (by Arkady Berenstein)
-
Northeastern University, 2009 (by Andrei Zelevinsky)
- University of Bielefeld, 2010
- University
of Hannover, 2010 (by Thorsten Holm)
- Louisiana State University,
2010-2012
(by Greg Muller and Milen Yakimov)
- University of Aarhus, 2010 (by
Sergey Fomin)
-
University of California at Berkeley, 2011 (by Lauren Williams)
- University
of Kent, 2011
(by Andy Hone and Stephane Launois)
- University of Minnesota,
2011,
2015,
and 2016
(by Gregg Musiker)
-
Stony Brook University, 2011 (by Michael Movshev)
-
University of Bath, 2012 (by Alastair King)
-
UNAM, 2013 (by Christof Geiss)
- Nagoya
University, 2013
and 2014
(by Laurent Demonet)
-
University of Michigan, 2014 (by Sergey Fomin)
-
Institut Henri Poincaré, 2014 (by Lauren Williams)
-
North Carolina State University, 2015 (by Salvatore Stella)
-
CRM, 2015 (by Michael Gekhtman)
-
University of Illinois, 2015 (by Philippe Di Francesco)
-
Stockholm University, 2015 (by Michael Shapiro)
- Erwin
Schrödinger Institute,
2015 (by Andrew Hone)
-
UQAM, 2016 (by Hugh Thomas)
- Columbia
University, 2016 (by Lauren Williams)
- Mar
Del Plata, 2016 (by Ralf Schiffler, Ibrahim Assem, and Pierre-Guy
Plamondon)
- Tsinghua
University, 2016 (by Linhui Shen)
- University
of Nebraska, 2017 (by Kyungyong Lee)
-
University of California at Berkeley, 2017 (by Lauren Williams)
-
Universität Tübingen, 2017-2018 (by Jon Wilson)
-
University of Michigan, 2018 (by Sergey Fomin)
- ETH Zürich, 2018 (by Ran Tessler)
- University of Connecticut,
2018 (by Ralf Schiffler)
- M.I.T., 2018 (by Alexander Postnikov)
- Harvard University, 2018 (by Man-Wai Cheung)
- University of Haifa, 2018/19, 2021/22, 2023/24 (by Sefi Ladkani)
-
UNAM, 2019 (by Jon Wilson)
- Hong Kong University of Science and Technology, 2019 (by Ivan Ip)
- University of Minnesota, 2020 (by Chris Fraser)
- UCLA, 2021 (by Pavel Galashin)
-
Sapienza University of Rome, 2021 (by Alek Vainshtein)
-
HSE Moscow, 2021 (by Michael Shapiro)
-
University of Michigan, 2021 (by Sergey Fomin)
-
Harvard University, 2021 (by Lauren Williams)
-
University of Bonn, 2021 (by Maitreyee Kulkarni)
-
University of Copenhagen, 2022 (by Karin Baur, Sira Gratz, and Gus Schrader)
-
Skoltech, 2022 (by Mikhail Bershtein)
-
HSE Moscow, 2022-23 (by Vasily Gorbounov)
-
Shanghai Jiao Tong University, 2022 and 2023 (by JiaRui Fei)
-
University of Washington, 2023 (by Sara Billey)
-
Louisiana State University, 2023 (by Pramod Achar)
-
Tsinghua University, 2023 (by Dylan Allegretti)
Software and data
Thematic programs and research labs
-
Combinatorial Representation Theory, MSRI, Berkeley, 2008.
-
Algebraic Lie
Theory and
Discrete
Integrable Systems, Isaac Newton Institute, Cambridge, UK, 2009.
-
Tropical geometry and cluster algebras, Paris/Strasbourg, 2009-2013.
-
Interaction of Representation Theory with Geometry and Combinatorics,
Hausdorff Institute, Bonn, 2011.
-
Cluster Algebras,
Mathematical Sciences Research Institute (MSRI), Berkeley, 2012.
-
Cluster
algebras in mathematics and physics, KIAS, Seoul, 2014.
-
Cluster Algebras,
Research Institute for Mathematical Sciences (RIMS), Kyoto, 2019.
-
Quiver varieties and representation theory,
CRM, Montreal, 2019.
-
Cluster algebras and representation theory,
Isaac Newton Institute, Cambridge, UK, 2021.
-
Quantum curves, integrability and cluster algebras,
MATRIX Institute, Australia, 2021.
-
International Laboratory of Cluster Geometry,
HSE, Moscow, 2021-present.
-
Moduli spaces, combinatorics and Poisson geometry,
Euler Institute, St. Petersburg, 2022.
-
Mathematical aspects of scattering amplitudes,
Cambridge, MA, 2024.
-
Mathematical structures in scattering amplitudes,
Florence, 2024.
-
Algebraic combinatorics,
SLMath, Berkeley, 2027.
Publicity and awards
Andrei Zelevinsky, 1953-2013
Other
This page is maintained by
Sergey Fomin. Partially supported by the NSF.