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Regular version of the site

The conference will be devoted to toric topology, toric geometry, and adjacent areas, such as homotopy theory, Hamiltonian actions on symplectic manifolds, combinatorics, discrete and convex geometry. Toric topology is an area of active research, which brought together powerful ideas from various fields of mathematics. This subject studies group actions on manifolds and varieties, mainly torus actions (either actions of compact tori on smooth manifolds, or actions of algebraic tori on varieties) from the viewpoint of the underlying combinatorial structures: polytopes, fans, and simplicial complexes. 

The aim of the conference is twofold. First, we want to gather researchers in toric topology, so that they can share their latest scientific ideas and strengthen the existing collaborations. Second, we want to invite new people to tell about their research, making valuable contributions to the subject area.

Working language: English

Programme and schedule

Conference programme (PDF, 415 Кб)

The schedule is written in Moscow time (GMT+3)


  • Wednesday, November 18

    Morning session

    10:00-10:45 Victor Buchstaber

    Singularities of T n -action on the Grassmannians Gn;2 and their universal resolution.

    11:00-11:45 Mikiya Masuda

    Invariants of the cohomology rings of the permutohedral varietie.

    12:15-12:40 Seonjeong Park

    Uniqueness of a toric structure on a Fano Bott manifold

    12:45-13:10 Svjetlana Terziс

    The universal space of parameters for T n -action on the Grassmannians Gn;2.

    Evening session

    18:00-18:45 Donald Stanley

    Realization of cohomology modulo torsion.

    19:00-19:45 Matthias Franz

    The cohomology rings of smooth complex and real toric varieties.

    20:00-20:25 Oliver Goertsches

    On the GKM correspondence in low dimensions

  • Thursday, November 19 (Day 2)

    Morning session

    10:00-10:45 Jie Wu

    A combinatorial approach to the exponents of Moore spaces.

    11:00-11:25 Daisuke Kishimoto

    Two-dimensional Golod complexes.

    11:45-12:10 Li Cai

    Torsion free small covers.

    12:15-12:40 Yakov Veryovkin

    Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups.

    Evening session

    16:00-16:45 Taras Panov

    Polyhedral products, loop homology, and right-angled Coxeter groups.

    17:00-17:45 Stephen Theriault

    The homotopy type of the based loops on a moment-angle complex.

    18:15-18:40 Sergei Ivanov

    On homology of Lie algebras over commutative rings.

    18:45-19:10 Yael Karshon

    Equivariant orbit preserving diffeomorphisms.

    19:15-19:40 Nikolay Erokhovets

    Geometrization of 3-manifolds realizable as small covers.

  • Friday, November 20 (Day 3)

    Morning session

    10:00-10:45 Ivan Arzhantsev

    Commutative algebraic monoids and toric geometry. Talk canceled due to illness of the speaker.

    11:00-11:25 Shintaro Kuroki

    Gale dual of a GKM graph and its application to the extension problem of torus actions.

    11:45-12:10 Karine Kuyumzhiyan

    Infnite transitivity of regular automorphisms on Calogero-Moser spaces.

    12:25-12:50 Roman Avdeev

    B-root subgroups on affine spherical varieties.

    13:00-13:25 Silvia Sabatini

    Some topological properties of monotone complexity one spaces


    Evening session

    16:30-17:15 Jelena Grbic

    Universal simplicial complexes inspired by toric topology.

    17:30-18:15 Megumi Harada

    Permutation bases for the cohomology rings of regular semisimple Hessenberg varieties.

    18:45-19:10 Alexander Perepechko

    Automorphisms of affine surfaces, the Markov numbers, and the Thompson group T.

    19:15-19:40 Jeffrey Carlson

    The cohomology of Gelfand-Zeitlin fibers.

    19:45-20:10 Yuri Ustinovskiy

    Four-dimensional Generalized-Kahler structures and T-duality.

  • Saturday, November 21 (Day 4)

    Morning session

    10:00-10:45 Zhi Lu

    On simple orbifolds.

    11:00-11:25 Suyoung Choi

    Gromov width of symplectic toric manifolds associated with graph associahedra.

    11:45-12:10 Hiroaki Ishida

    Holomorphic foliations and transversal real submanifolds in Kahler manifolds.

    12:15-12:40 Djordje Baralic

    Coloring by 15 colors and small covers in dimension 4.

    Evening session

    17:00-17:45 Askold Khovanskii

    Ring of conditions and cohomology ring of toric bundles.

    18:00-18:45 Anthony Bahri

    On the cohomology of polyhedral products - multiplicative results.

    19:15-19:40 Dmitry Gugnin

    Branched coverings of manifolds and finite transformation groups.

    19:45-20:10 Ivan Limonchenko

    On polyhedral products over minimally non-Golod complexes.

  • Sunday, November 22 (Day 5)

    Morning session

    10:00-10:25 Eunjeong Lee

    On the torus orbit closures in flag varieties.

    10:30-10:55 Jongbaek Song

    Homotopy Classification of 4-dimensional Toric Orbifolds.

    11:15-11:40 Haozhi Zeng                                                                             

    On the Picard groups of regular semisimple Hessenberg varieties.

    11:45-12:10 Soumen Sarkar

    On LS-category and topological complexity of some fiber bundles and Dold manifolds.

    12:15-12:40 Abramyan Semyon

    Substitution complexes and nonrealizability example.

    Evening session

    17:00-17:25 Grigory Solomadin

    On the maximal extension problem for GKM-graphs.

    17:30-17:55 Vladislav Cherepanov

    Topology of orbit spaces of complexity one torus actions in nongeneral position.

    18:15-18:40 Artem Kotelskiy

    Khovanov homology via immersed curves.


Key Speakers

Ivan Arzhantsev

HSE University, Russia

Anthony Bahri

Rider University, USA

Victor Buchstaber

Steklov Mathematical Institute, Russia

Matthias Franz

University of Western Ontario, Canada

Jelena Grbić

University of Southampton, England

Megumi Harada

McMaster University, Canada

Jie Wu

National University of Singapore, Singapore

Askold Khovanskii

Toronto University, Canada

Mikiya Masuda

Osaka City University, Japan

Taras Panov

Moscow State University, Russia

Donald Stanley

University of Regina

Stephen Theriault

University of Southampton, England

Zhi Lü

Fudan University, China



Anton Ayzenberg

aayzenberg@hse.ru, ayzenberga@gmail.com

Anastasia Kamyshanova