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Toric topology is the study of topological spaces with well-behaved toric symmetries. The subject was first identified 20 years ago and has developed rapidly, with remarkably varied input from cobordism and homotopy theory, algebraic and combinatorial geometry, commutative algebra, and symplectic geometry and integrable systems. Central objects are quasitoric manifolds and torus manifolds (topological generalizations of toric varieties), moment angle manifolds and moment angle complexes.

Torus manifolds are often algebraic or symplectic but need not be, instead having more flexibility in terms of studying topological and combinatorial properties. In particular, these properties give valuable information about the topology of toric varieties themselves. Moment angle complexes provide powerful links between homotopy theory, theory of space arrangements, the construction of symplectic reduction, Coxeter and Artin groups and hyperbolic geometry.

Recently, there is a strong interest in the generalization of torus manifolds: methods of toric topology proved useful in the study of torus actions of positive complexity, such as the torus actions on Grassmann manifolds and flag manifolds.This variety of mathematical disciplines related to the subject explains the attractiveness of toric topology for young researchers. Many problems in this field are accessible for students, yet their solution has certain interest in theoretical mathematics.

The workshop is followed by the school `Toric topology and combinatorics'.

Speakers

Abramyan Semyon , HSE,  Faculty of Mathematics


Arzhantsev Ivan, HSE, Faculty of Computer Science


Avdeev Roman   HSE, Faculty of Computer Science


Baralic Djordje , MI SANU


Buchstaber Victor, HSE, Faculty of Computer Science, Steklov Institute of Mathematics


Bunkova Elena, Steklov International Mathematical Center


Chernyshev Vsevolod L, HSE, Faculty of Computer Science


Dasgupta  Nikhilesh, NMIMS


Daurtseva Nataliya, Kemerovo State University


Erochovets Nikolay , Moscow State University


 Esterov Alexander, HSE,  Faculty of Mathematics


Grujic Vladimir, University of Belgrade


Gugnin Dmitry  , Moscow State University


Ivanov Sergei , St Petersburg University


Kiritchenko Valentina, HSE, Faculty of Mathematics


Masuda Mikiya, Osaka City University


Millionshchikov Dmitry , Moscow State University


Monin Leonid,  University of Toronto


Musin Oleg , University of Texas at Austin


Pavutnitskiy Fedor , HSE, Faculty of Computer Science


Perepechko Alexander , HSE,  Faculty of Mathematics


Pochinka Olga, HSE, Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod)


Popelensky Fedor,  Moscow State University


Smirnov Evgeny, HSE, Faculty of Mathematics


Solomadin Grigory , HSE, Faculty of Computer Science


Suyoung Choi , Ajou University


Terzic Svjetlana, University of Montenegro


Theriault Stephen , University of Southampton


Timashev Dmitrii, Moscow State University


Verevkin Yakov , HSE, Faculty of Computer Science

 

Vesnin Andrey, HSE, Sobolev Institute of Mathematics


Zhgoon Vladimir, HSE,  Faculty of Mathematics


Zhuravleva Elizaveta , Moscow State University

 

Organisers

Anton Ayzenberg

HSE University

Taras Panov

Lomonosov Moscow State University, HSE University

Alexander Gaifullin

SkolTech and Steklov Institute of Mathematics

 

Contacts

Anastasia Kamyshanova

Manager, akamyshanova@hse.ru