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