International Conference Topology and Geometry of Group Actions

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.